The circuit is in the steady state mode before the switch closes at t=0; Determine the current i(t) through terminal a and b for t>0.

Assume the switch has been in position (a) for a long time and at time t=0 it moves to position (b). Find the expression for the capacitor voltage for t > 0.

The switch has been closed for a long time and opens at t=0. Determine an expression for the current through the 4kOhm resistor and capacitor.

At t=0 the switch is flipped to position (b) after being in position (a) for a long time. After 1ms it moves back to position (a). Find the capacitor voltage as a function of time t.

At t=0 the switch closes. Find an expression for the capacitor voltage.

Assume the switch has been open for a long time and closes at t=0. Find the resulting voltage across the capacitor and the current through the resistor.

Assume the switch in the circuit has been open for a long time, find the expression for the capacitor voltage v_C after the switch closes. statement_diagram:screenshot.gif

The switch has been in position (a) for a long time before it goes to position (b). Find the values for the inductor voltage and current immediately after the switch closes and as time approaches infinity.

Assume the switch in the circuit below has been open for a long time, find the expression for the inductor current i_L(t) after the switch closes.

The two switches in the circuit have been closed for a long time.  At t=0 Switch 1 opens and after 1ms Switch 2 opens. Find the inductor current i_L(t) for t>0.

Assume the switch in the circuit below has been closed for a long time, find the expression for the inductor current i_L(t) after the switch opens.

Assume the switch in the circuit below has been closed for a long time, find the expression for the inductor current i_L(t) after the switch opens.

Consider the RL circuit in which the switch closes at t=0. Assume the initial current through the inductor is I₀. Our goal is to find the inductor current i_L(t) for t>0.

The switch in the circuit has been open for a long time (steady-state conditions apply) and closes at t=0. Determine current through the inductor i_L(t) for t>0.

For the circuit shown below, the switch has been opened for a long time and it is closes at t=0. Determine the initial values of the inductor and capacitor voltages and currents: i_L(0⁺), v_L(0⁺), i_C(0⁺), and v_C(0⁺).

Determine the initial value of v_R(t) and dv_R(t)/dt, and the final value of v_R(t).

Determine the initial value of v_C(t) and dv_C(t)/dt, and the final value of v_C(t).

For both the inductor current and voltage, determine their initial values, the initial values of their derivatives, and their final values. The capacitor has 9 J of stored energy before the switch closes.

For each circuit, determine the qualitative form of the response v_c(t) as being either overdamped, underdamped, or critically damped.

Determine the qualitative form of the response v_C(t) as being either overdamped, underdamped, or critically damped.

Determine the qualitative form of the response i_L(t) as being either overdamped, underdamped, or critically damped.

Determine the qualitative form of the response i_L(t) as being either overdamped, underdamped, or critically damped.

What value of R will make this circuitry critically damped?

Plot the inductor current i_L(t) and inductor voltage v_L(t) for time t = -0.1 seconds to t = 3 seconds. Confirm your results using a circuit simulator.

Which devices are labeled according to the passive sign convention (PSC)?

For each device, state whether Passive Sign Convention (PSC) or Active Sign Convention (ASC) is used for the defined current and voltage. Then determine whether the device is absorbing or delivering power.

For labeled currents, draw an arrow to show the direction of positive current. For labeled voltages, circle the node that is at the highest potential.

(a) Suppose that a 12-volt automobile battery with 100 amp-hour capacity is fully charged. How much energy (in joules) is stored in the battery?

(b) Next, suppose that the battery needs to supply the automobile's emergency flashers while the driver seeks roadside assistance. The flashers consume 50 watts of power when on, and the flashers are active for a half second out of every two seconds. Assuming that the battery can maintain its rated output voltage until completely depleted of stored energy, how long (in hours) will the battery be able to operate the flashers?

A "night light" illuminates dark hallways and children's rooms at night. Older night lights use incandescent bulbs (tungsten filament in an evacuated glass envelope), while newer night lights use light-emitting diodes (LEDs). The older style night light bulb requires 4 W of power to operate, while a newer LED night light might require about 0.2 W of power. According to the U.S. Department of Energy, a kilowatt-hour costs 9.85 cents for the residential customers, on average (http://www.eia.doe.gov/cneaf/electricity/epm/table5_6_b.html).

During the course of a year, what is the total cost saved by using an LED-based night light instead of the older style night light?

As of 1983, the definition of a "meter" is based on the speed of light, specifically, the distance that light travels in a vacuum during the time interval 299,792,458^-1 seconds. Electrical signals moving in a cable (for example, the coaxial cable that connects your television to the cable jack in the wall) travel at approximately 70% of the speed of light. Speaking of television, a high-definition (HD) receiver can update its display 60 times per second, where each display frame contains 1280x720 pixels.

So: How far can the television signal travel in a coaxial cable during the time that an HD receiver is drawing a new pixel on the screen?

Beginning in Beijing, China, you need to travel about 11,000 kilometers to reach New York City. Communication satellite signals traveling between these two cities move at close to the speed of light (3x10⁸ meters per second). The eye blink duration of a human is approximately 300 milliseconds. So, is it possible for a communication signal to jump from Beijing to New York in the "blink of an eye?"

How should the value of the variable voltage source V_x be adjusted to cause the voltage at node M to be zero?

Find the value of R that will make V_C = 8 volts. For this value of R, find V_B and V_A.

Find the indicated currents; use the node voltage method first.

Find all the node voltages in the circuit.

Find the three indicated node voltages using the node voltage method.

Determine which sources are delivering power and which sources are absorbing power.

Find the three indicated node voltages using the node voltage method.

Using nodal analysis, find the power delivered or absorbed by each element.

Use the node with the most connected branches as the ground reference, and then determine the remaining node voltages.

(a) Does the circuit have a "floating voltage source" which would require the "supernode" technique for nodal analysis?

(b) Write the nodal equations for this circuit.

Use nodal analysis to determine the resistors that absorb the most and least power.

Write the nodal equations for this circuit.

Determine the number of nodes in each circuit, and draw a closed contour around each node.

Determine the number of nodes in this circuit, and draw a closed contour around each node.

Determine the number of nodes in this circuit, and draw a closed contour around each node.

Use mesh current analysis to find Vx.

Use nodal analysis to determine whether the dependent voltage source is absorbing or delivering power to the rest of the circuit.

Use mesh current analysis to find the voltage across each resistor.

Use mesh analysis to determine the two defined currents, Ix and Iy.

Determine all of the mesh currents in the circuit.

Determine all of the mesh currents in the circuit.

Use mesh current analysis to find Vz.

Use mesh current analysis to find the power associated with each voltage source.

Determine each mesh current in this circuit.

Use mesh analysis to find Vx and Iy.

Simplify the circuit between terminals A and B to a single equivalent resistor.

Find the source voltage across the 1 mA current source.

Simplify the circuit between terminals a and b.

Find the equivalent resistance at terminals a and b.

Reduce the circuit to a single resistor at terminals a and b.

Find the current i in the circuit.

Obtain the equivalent resistance at terminals a-b.

Find the value of V0.

Find the current through the 10 kΩ resistor.

Find the current through the 300 Ω resistor.

A circuit analysis program tells us that v1 = 2V, v2 = 2V, v3 = -5V, v4 = 8V, and V5 = 5V. Test whether this is correct.

Find the currents i₁, i₂, and i₃ using KCL.

Determine the current through each of the resistors in this circuit.

Find the voltage across resistor R0.

Based on the following measurements across a black box's terminals, determine what elements are inside it.

Find the current i through the 7kΩ resistor using current division.

Given that i = 6mA, v = 6V, 2i₁ = 3i₂, i₂ = 2i₃, v₄:v₃ = 2:1, we need to specify the resistors to meet the following specification.

Use voltage division to find the current i through the 30 kΩ resistor and the voltage v across the 6 kΩ resistor.

Use current division and voltage division to find the voltage vab across terminals a-b.

Use voltage division to find the current i through the 30 kΩ resistor and the voltage v across the 6 kΩ resistor.

Use the proportionality property of linear circuits to find the voltage V_X.

Use the proportionality property of linear circuits to find the current I_X.

In this problem, we’ll assume that both operational amplifiers are ideal. We want to determine the output voltage V_O.

In this problem, we assume the operational amplifier is ideal, we are interested in the voltage across the 1kΩ resistor.

Determine the output current i_o when v₁ = 1V and v₂ = 1 V

We are trying to find the output voltage v_o of the ideal op amp circuit.

Calculate the current through the 20kΩ resistor.

Determine the current i in the op amp circuit.

find the output voltage v_o of the ideal op amp.

Find the output voltage v_o of the ideal op amp.

For the circuit which consists of one ideal op amp, we want to find the output voltage v_o of the op amp.

Design an op amp circuit such that v_out = -3v₁ - 5v₂ + 4v₃.

An inverting amplifier circuit is given in figure 1.

a) Assume the op amp is ideal and determine v_o .

b) Replace the operational amplifier by the finite gain model shown in figure 2. Assuming the parameters of the op amp are R_i = 100kΩ, R_o = 100kΩ, and A = 100,000, repeat the analysis and find v_o.

An non-inverting amplifier circuit is given in figure 1.

a) If the load resistor R_L = 1kΩ, determine v_o assuming the op amp is ideal. Repeat the analysis for R_L = 100kΩ.

b) Replace the operational amplifier by the finite gain model shown in figure 2. Assume the parameters of the op amp are R_i = 100kΩ, R_o = 100kΩ, and A = 100,000. Repeat the analysis of a).

Find the output voltage v_o

Find the output voltage v_o

Find the current through the 6kΩ resistor.

Calculate the output voltage v_o

Find the output voltage v_o

a) Determine the output voltage of the instrumentation amplifier when v₁ = 0V and v₂ = 0.1V b) Assume the input signal is distorted by noise and the input voltage becomes v₁ = 10V and v₂ = 10.1V Recalculate the output voltage.

Find the output voltage v_o

Find the output voltage v_o

Use repeated source transformations to convert this circuit into Norton form.

Use repeated source transformations to convert this circuit into Thèvenin form.

Use repeated source transformations to convert this circuit into Norton form.

Use repeated source transformations to convert this circuit into Thevenin form.

Use repeated source transformations to convert this circuit into Thevenin form.

Use repeated source transformations to convert this circuit into Norton form.

Read the resistor color codes to determine their values and tolerances. Report the values using engineering prefix notation, i.e., ohms, kilo-ohms, or mega-ohms.

Find the maximum and minimum specified resistance for each resistor.

A designer of the subwoofer amplifier for a home theater audio system has produced the following list of necessary resistors for a portion of her design: 481Ω, 12.67kΩ, 34Ω, and 735.2kΩ. Determine the color code of the nearest available 5% tolerance standard resistor value for each resistor.

For each current source, draw a current label (arrow and value) pointing up or to the right that is equivalent to the indicated current.

Which of the following circuit connections are invalid?

For each voltage source, draw a voltage label (polarity indicators and value) with the positive indicator at the top or to the right that is equivalent to the indicated voltage.

Which of the following circuit connections are invalid?

For each current source, draw a current label (arrow and value) pointing up or to the right that is equivalent to the indicated content.

For each voltage source, draw a voltage label (polarity indicators and value) with the positive indicator at the top or to the right that is equivalent to the indicated voltage.

Three different terminal pairs are attached to an original circuit. Which terminal pair arrangement will extract the most power from the original circuit?

Two measurements are made on the same "linear mystery circuit" as shown. What would be the measured current Im if the 50-ohm resistor is replaced by a short circuit?

When the variable load resistance Rl is 1 kΩ the measured voltage Vm is 30 volts. When Rt is lowered to 10Ω the voltage drops to 3 volts. What would you expect Vm to be when the load resistance is removed?

Consider the following experimental method to measure the Thèvenin resistance of a linear circuit:

(1) With the pushbutton open, measure and record Vm, (2) press the pushbutton and adjust Rvar until Vm is half the original voltage, and (3) release the pushbutton and measure Rvar.

Explain why the measured resistance Rvar is actually the same as the Thèvenin resistance Rt.

Find the Thèvenin equivalent circuit at the terminals S-T.

Find the Thèvenin equivalent circuit at the terminals U-V.

Find the Thèvenin equivalent at the terminals A-B. Use two different methods to find the Thèvenin resistance:

(a) As a ratio of short-circuit current and open-circuit voltage, and

(b) as the lookback resistance.

Find the Thèvenin equivalent circuit to the left of the terminals A-B.

Find the Thèvenin equivalent circuit at the terminals A-B.

Find the Thèvenin equivalent circuit at the terminals E-F.

Find the Thèvenin equivalent circuit at the terminals G-H.

Given this voltage waveform applied across a 1 μF capacitor, find the current through the capacitor.

Given this current waveform applied to a 10μF capacitor, find the capacitor's voltage as a function of time, given that v(0) = 0 volts.

In the circuit below, v(t) = 10e^-1000t V. Assume that the 10μF capacitor is fully discharged at t=0, and find v₁(t), v₂(t), i₁(t) and i₂(t).

The input waveform v_i(t) is applied to this circuit as shown. Find the output voltage v_o(t) and the current i_o(t).

Given the input voltage shown in the figure below, determine v_o(t). Assume the capacitor is fully discharged.

Find the equivalent capacitance across terminals a and b.

Find the equivalent capacitance seen by the voltage source.

Find the equivalent inductance across terminals a and b.

Given that i(t) = e^(-1000t) and i1(0) = 0A, find v(t), i1(t), i2(t), and v2(t) for t>0.

Given the waveform of current through an inductor, find the voltage across the inductor as a function of time.

Given the voltage waveform applied across an inductor and that i(0) = 0, find i(t) for a 5H inductor.

Use superposition to determine the voltage V_X. State which source influences V_X the most.

Use superposition to determine the voltage V_X.

Use superposition to determine the current I. State which source influences I the most.

Determine the z parameters of the two-port circuit.

Determine the z parameters of the two-port circuit.

Determine the z parameters of the two-port circuit.

Determine the z parameters of the two-port circuit.

Determine the z parameters of the two-port circuit.

This is a tutorial detailing how to work with complex numbers in Maple.

This is a tutorial on working with complex numbers in Matlab.

This is a tutorial introducing the concept of polar coordinates in reference to complex numbers.

This is a tutorial about how to perform mathematical operations on complex numbers in polar form.

This is a tutorial introducing the idea of complex numbers and how they're represented graphically.

This is a tutorial that shows how to perform arithmetic operations on complex numbers in the rectangular form.

Create a PSpice project

Analyze a simple RC circuit.

Perform an AC Sweep on an RLC circuit.

Solve a system of linear equations using Maple.

Determine the equivalent impedance at the terminals A-B when the circuit operates at a frequency of 50 rad/s.

Find the equivalent admittance seen by the current source.

State the value of the single equivalent resistor and capacitor (or inductor) seen by the source.

Determine the equivalent admittance between the terminals G-H. Work this problem completely in terms of admittance.

Determine the equivalent impedance between the terminals G and H. To begin, convert the admittance of each element to impedance, then work the problem completely in terms of impedance.

Determine the equivalent impedance between the terminals C-D when the circuit operates at each of the following frequencies: 0 Hz (DC), 503 Hz, 5.03 kHz, 50.3 kHz, and ∞Hz (extremely high frequency).

Match the admittance value to its corresponding circuit element.

Complete the table to show the admittance of each of the indicated circuit elements at various operating frequencies.

Complete the table to show the impedance of each of the indicated circuit elements at various operating frequencies.

Match the impedance value to its corresponding circuit element.

Use KVL to find the unknown phasor voltage V.

Find the time-domain expression for i(t) using phasor techniques.

Use KVL to find the amplitude and phase of v(t) using phasor techniques.

Find the time-domain expression for i(t) using phasor techniques.

Determine the following properties for each of the given sinusoidal voltages: amplitude, peak-to-peak value, cyclic frequency (in Hz), angular frequency (in rad/s), period, and phase.

Given the table that describes three sinusoidal currents. Write the mathematical expression for each current in the form i(t) = I_mcos(ωt+Φ).

Express the voltage v(t) in the form V_mcos(ωt+Φ)

Given the periodic voltage waveform v(t). Determine its average value and its RMS value (also known as its effective DC value).

Given the periodic current waveform i(t). Determine its average value and its RMS value (also known as its effective DC value).

Find the average value and RMS value (also known as its effective DC value) of the sinusoidal voltage v(t) = VMcos(ωt). Use the mathematical definitions of average and RMS value.

Find the average value and RMS value (also known as its effective DC value) of the sinusoidal voltage v(t) = VDC + VMcos(ωt), a sinusoid with a DC (constant) offset. Use the mathematical definitions of average and RMS value.

Find the transfer function for H(jω)= V_o/V_i

Design a second order bandpass filter with cutoff frequencies of 100 Hz and 100 kHz and a passband gain of 10.

Find the transfer function H(s)=V_out/V_in. What type of filter is it?

Find the cutoff frequency of the filter. Use voltage divider to derive the transfer function. Obtain the output voltage in s.s.s when the input voltage is V_in=1cos(100t) V and V_in=1cos(10,000t+90°) V.

a) Find the transfer function H(jω)=Vout/Vin

b) At what frequency will the magnitude of H(jω) be maximum and what is the maximum value of the magnitude of H(jω)?

c) At what frequency will the magnitude of H(jω) be minimum and what is the minimum value of the magnitude of H(jω)?

Obtain the output voltage in s.s.s for the input voltage is Vin=1cos(100,000t+45°) V.

a) Obtain the transfer function H(jω) corresponding to the Bode magnitude diagram shown in Fig. 1.

b) What is the cutoff frequency of the filter?

c) Design the filter with the circuit give in Fig. 2. Find the values of C and Ri.

a) Obtain the transfer function H(jω) corresponding to the Bode magnitude diagram shown in Fig. 1.

b) What is the cutoff frequency of the filter?

c) Design the filter with the circuit give in Fig. 2. Find the values of Rf and Ri.

Design a second order lowpass filter with a cutoff frequency of 500 Hz and a passband gain of 10. Use 0.1 μF capacitor.

Obtain the transfer function H(jω) corresponding to the Bode magnitude diagrams shown in the figures.

Obtain the transfer function H(jω) corresponding to the Bode magnitude diagrams shown in the following figures.

Obtain the transfer function H(jω) corresponding to the Bode magnitude diagram shown in the figure below.

Obtain the transfer function H(jω) corresponding to the Bode magnitude diagram shown in the figure below.

Obtain the transfer function H(jω) corresponding to the Bode magnitude diagram shown in the figure below.

Obtain the transfer function H(jω) corresponding to the Bode magnitude diagram shown in the figure below.

Obtain the transfer function H(jω) corresponding to the Bode magnitude diagram shown in the figure below.

Find ω0, ωc1, ωc2, Q and β

Derive the expression for H(s)=Vout/Vin. What type of filter is it? Find ω0, Q and β.

Derive the expression for H(s)=Vo/Vi. What type of filter is it? Find ω0, ωc1, ωc2, Q and β.

A radio receptor is often disrupted by 8 kHz whistle. Design a "whistle-stop" filter that has a bandwidth of 1 kHz and uses 33 nF capacitor.

b) The previous example is ideal and will completely eliminate the 8 kHz whistle. However, circuits are not ideal so let’s assume that the inductor has 2 Ω resistance and the source has 50 Ω resistance. If the filter specification calls for -18 dB, will the specification be met?

a) Determine H(s)=Vout/Vin for the circuit in the figure.

b) What is the maximum magnitude of the transfer function?

c) What is the minimum magnitude of the transfer function?

d) What type of filter is it?

Find the transfer function for H(jω)=Vout/Vin. What type of filter is it?

Find the transfer function for H(jω)=Vout/Vin. What type of filter is it? What is the cutoff frequency of the filter?

The series RLC bandreject filter is shown in the figure below. It has a center frequency of 1 rad/s. Use scaling to compute new values of R and L that yield a circuit with a center frequency of 100 krad/s. Use 1 nF capacitor.

Find the transfer function H(s)=V_o/V_in

Find the transfer function for H(s)=V_o/V_i.

Find the transfer function for H(s)=V_o/V_i.

Use the circuit shown below to design a bandreject filter with a center frequency of 100 krad/s and a bandwidth of 10 Mrad/s, and a pass band gain of 10. Use 1 nF capacitors and specify all resistor values.

Use the prototype circuits shown below to design a third-order lowpass Butterworth filter that will have a passband gain of 10 dB and a cutoff frequency of 4 kHz.

Find the transfer function H(jω)=V_out/V_in. What type of filter is it?

Find the transfer function H(jω)=V_out/V_in. What type of filter is it?

Find the transfer function H(s)=V_out/V_in. What type of filter is it? What is the cutoff frequency of the filter?

Determine the voltage Vo.

Determine the current I.

Determine the voltage v_O(t)

Find the Norton equivalent circuit at the terminals Q-R. Express all complex values in your answer in both rectangular and polar form.

Find the Norton equivalent circuit at the terminals F-G. Express all complex values in your solution in both rectangular and polar form.

Use mesh current analysis to find the phasor voltages V₁ and V₂.

Find the steady-state sinusoidal current i(t) using mesh current analysis.

Use mesh current analysis to find the phasor current I and the phasor voltages V₁ and V₂.

Find the current I using mesh current analysis.

Find the indicated mesh currents.

Find the voltage gain and phase shift of this circuit.

Suppose this circuit is driven by a sinusoidal voltage source operating at 200 Hz. Determine the gain and phase shift of the circuit.

Find the output voltage v_o(t) using phasor analysis.

At what frequency (in Hz) will the magnitude of the gain be 0.707?

Find the voltage v(t) using the superposition method.

Find the current i(t) using the superposition method. Write it in the form I_Mcos(ωt+θ°).

Find the Thevenin equivalent circuit at the terminals Q-R. Express all complex values in your answer in both rectangular and polar form.

Find the Thevenin equivalent circuit at the terminals F-G. Express all complex values in your solution in both rectangular and polar form.

Apply repeated source transformations to reduce this to an equivalent circuit at the terminals G-H. The simplified circuit will consist of a voltage source in series with two series-connected passive elements.

Apply repeated source transformations to reduce this to an equivalent circuit at the terminals J-K. The simplified circuit will consist of a current source in parallel with two series-connected passive elements.

Find all of the node voltages in the circuit.

Find the indicated currents expressed as cosine functions. Use the node voltage analysis method first.

Use nodal analysis to determine which impedance element has the lowest voltage magnitude across its terminals.

Find the steady-state sinusoidal voltages v₁(t) and v₂(t) using node voltage analysis.

Find the steady-state sinusoidal voltages v₁(t), v₂(t), and v₃(t) using node voltage analysis.

Find the steady-state sinusoidal voltages v₁(t) and v₂(t) using node voltage analysis.

Find the apparent power absorbed by the load in the circuit if v = 4 cos

(3000t+30°) V.

The load in the circuit absorbs an average power of 80 W and a reactive power of 60 VAR. What is the power factor of the load? What are the values of the resistor and the inductor if v = 110 cos (2π60t) V?

Three 220 Vrms loads are connected in parallel. Load 1 absorbs an average power of 800 W and a reactive power of 200 VAR. Load 2 absorbs an average power of 600 W at 0.6 lagging power factor. Load 3 is a 80 Ω resistor in series with a capacitive reactance of 60  Ω. What is the pf of the equivalent load as seen by the voltage source?

In the circuit, Z1=100+j60 Ω and Z2=10-j20 Ω. Calculate the pf of the equivalent

load as seen by the voltage source and the total complex power delivered by the voltage source.

The periodic current is applied to a 10 kΩ resistor. Find the average power consumed by the resistor.

Find the average power, the reactive power and the complex power delivered by the voltage source if v = 6 cos (1000t) V.

Find the average power absorbed by resistor, inductor and the capacitor in the circuit if v = 4 cos (2000t) V.

Calculate the instantaneous power at the terminals of the network if v = 10 cos(2π 60t + 130°) V, i = 1 cos(2π 60t + 60°) mA

In the circuit, a 110 Vrms load is fed from a transmission line having a impedance of 4 + j1 Ω. The load absorbs an average power of 8 kW at a lagging pf of 0.8.

a) Determine the apparent power required to supply the load and the average power lost in the transmission line.

b) Compute the value of a capacitor that would correct the power factor to 1 if placed in parallel with the load. Recompute the values in (a) for the load with the corrected power factor.

Three 100 Vrms loads are connected in parallel. Load 1 is a 50 Ω resistor in series with an inductive reactance of 40 Ω. Load 2 absorbs an average power of 500 W at 0.75 lagging power factor. Load 3 absorbs an apparent power of 600 VA at 0.9 lagging power factor. Assume the circuit is operating at 60 Hz. Compute the value of a capacitor that would correct the power factor to 1 if placed in parallel with the loads.

Determine the impedance Z_L that results in the maximum average power transferred to Z_L. What is the maximum average power transferred to the load impedance?

Determine settings of R and L that will result in the maximum average power transferred to R if i_s = 1 cos(1000t) mA and v_s = 30 cos(1000t+30°) V. What is the maximum average power transferred to R?

Find the z parameters of the two-ports.

Find the z parameters of the two-ports.

An ideal balanced three-phase Y-connected generator with negative sequence is connected with a balanced three-phase-Wye-connected load. Calculate the total average power delivered to the Y-connected load. Calculate the total reactive power absorbed by the load.

A balanced three-phase-Wye-connected load requires 270 W at a lagging power factor of 0.9. The load is fed by an ideal three-phase generator through a line having an impedance of 0.5+j1 Ω. The line voltage at the terminals of the load is 200 V. Calculate the complex power delivered by the generator.

A balanced three-phase Y-connected generator with positive sequence is connected with a balanced three-phase-delta-connected load. Calculate the phase voltages at the load terminals.

A balanced three-phase Y-connected generator with positive sequence is connected with a balanced three-phase-connected load.

a) Calculate the three line currents I_aA, I_bB, and I_cC.

b) Calculate the line voltages V_AB, V_BC, and V_CA.

The phase voltage at the terminals of a balanced three-phase Y-Connected load is 200 V. Assume the phase sequence is positive and the internal impedance of the source is 1+j1 Ω per phase. For each phase, the load has an impedance of 100+j100 Ω and the line impedance is 2+j2 Ω. Find the internal phase-to-neutral voltages at the source.

The magnitude of the phase voltage of an ideal balanced three-phase Y-connected source is 400 V. The source is connected to a balanced Y-connected load through a line that has an impedance of 1+j5 Ω. The load is a 19 Ω resistor in series with an inductive reactance and the magnitude of the load voltage is 380 V. If the circuit is operating at the frequency of 60 Hz, determine the inductance of the load.

Is the circuit a balanced three-phase system? Find I.

Is the circuit a balanced three-phase system? Find I.

Find the expression for the current i(t) which is valid for all time t.

Plot the current for a time range before and after the switch closes.

Construct a two-port circuit that realizes the z parameters given.

Find the y parameters of the two-port circuit.

Determine the time-domain expression for each of the given s-domain expressions.

Analysis of a circuit in the s-domain yields the expression for voltage shown in the diagram. Determine the corresponding time-domain expression for this voltage.

Determine the time-domain expression for the given s-domain expression.

Which devices are labeled according to the passive sign convention (PSC)?

(a) Suppose that a 12-volt automobile battery with 100 amp-hour capacity is fully charged. How much energy (in joules) is stored in the battery?

(b) Next, suppose that the battery needs to supply the automobile's emergency flashers while the driver seeks roadside assistance. The flashers consume 50 watts of power when on, and the flashers are active for a half second out of every two seconds. Assuming that the battery can maintain its rated output voltage until completely depleted of stored energy, how long (in hours) will the battery be able to operate the flashers?

For each device, state whether Passive Sign Convention (PSC) or Active Sign Convention (ASC) is used for the defined current and voltage. Then determine whether the device is absorbing or delivering power.

For labeled currents, draw an arrow to show the direction of positive current. For labeled voltages, circle the node that is at the highest potential.

For each current source, draw a current label (arrow and value) pointing up or to the right that is equivalent to the indicated current.

Which of the following circuit connections are invalid?

For each voltage source, draw a voltage label (polarity indicators and value) with the positive indicator at the top or to the right that is equivalent to the indicated voltage.

For each current source, draw a current label (arrow and value) pointing up or to the right that is equivalent to the indicated content.

Which of the following circuit connections are invalid?

For each voltage source, draw a voltage label (polarity indicators and value) with the positive indicator at the top or to the right that is equivalent to the indicated voltage.

A "night light" illuminates dark hallways and children's rooms at night. Older night lights use incandescent bulbs (tungsten filament in an evacuated glass envelope), while newer night lights use light-emitting diodes (LEDs). The older style night light bulb requires 4 W of power to operate, while a newer LED night light might require about 0.2 W of power. According to the U.S. Department of Energy, a kilowatt-hour costs 9.85 cents for the residential customers, on average (http://www.eia.doe.gov/cneaf/electricity/epm/table5_6_b.html).

During the course of a year, what is the total cost saved by using an LED-based night light instead of the older style night light?

As of 1983, the definition of a "meter" is based on the speed of light, specifically, the distance that light travels in a vacuum during the time interval 299,792,458^-1 seconds. Electrical signals moving in a cable (for example, the coaxial cable that connects your television to the cable jack in the wall) travel at approximately 70% of the speed of light. Speaking of television, a high-definition (HD) receiver can update its display 60 times per second, where each display frame contains 1280x720 pixels.

So: How far can the television signal travel in a coaxial cable during the time that an HD receiver is drawing a new pixel on the screen?

Beginning in Beijing, China, you need to travel about 11,000 kilometers to reach New York City. Communication satellite signals traveling between these two cities move at close to the speed of light (3x10⁸ meters per second). The eye blink duration of a human is approximately 300 milliseconds. So, is it possible for a communication signal to jump from Beijing to New York in the "blink of an eye?"

This is a tutorial introducing the concept of polar coordinates in reference to complex numbers.

This is a tutorial about how to perform mathematical operations on complex numbers in polar form.

This is a tutorial introducing the idea of complex numbers and how they're represented graphically.

This is a tutorial that shows how to perform arithmetic operations on complex numbers in the rectangular form.

Given this voltage waveform applied across a 1 μF capacitor, find the current through the capacitor.

Given this current waveform applied to a 10μF capacitor, find the capacitor's voltage as a function of time, given that v(0) = 0 volts.

Given the waveform of current through an inductor, find the voltage across the inductor as a function of time.

Given the voltage waveform applied across an inductor and that i(0) = 0, find i(t) for a 5H inductor.

Determine the following properties for each of the given sinusoidal voltages: amplitude, peak-to-peak value, cyclic frequency (in Hz), angular frequency (in rad/s), period, and phase.

Given the table that describes three sinusoidal currents. Write the mathematical expression for each current in the form i(t) = I_mcos(ωt+Φ).

Express the voltage v(t) in the form V_mcos(ωt+Φ)

Find the value of V0.

Find the current through the 10 kΩ resistor.

Find the current through the 300 Ω resistor.

Determine the current through each of the resistors in this circuit.

A circuit analysis program tells us that v1 = 2V, v2 = 2V, v3 = -5V, v4 = 8V, and V5 = 5V. Test whether this is correct.

Find the voltage across resistor R0.

Find the currents i₁, i₂, and i₃ using KCL.

Find the current i through the 7kΩ resistor using current division.

Given that i = 6mA, v = 6V, 2i₁ = 3i₂, i₂ = 2i₃, v₄:v₃ = 2:1, we need to specify the resistors to meet the following specification.

Use voltage division to find the current i through the 30 kΩ resistor and the voltage v across the 6 kΩ resistor.

Use current division and voltage division to find the voltage vab across terminals a-b.

Use voltage division to find the current i through the 30 kΩ resistor and the voltage v across the 6 kΩ resistor.

Simplify the circuit between terminals a and b.

Find the equivalent resistance at terminals a and b.

Reduce the circuit to a single resistor at terminals a and b.

Find the current i in the circuit.

Obtain the equivalent resistance at terminals a-b.

Find the equivalent capacitance across terminals a and b.

Find the equivalent capacitance seen by the voltage source.

Find the equivalent inductance across terminals a and b.

Find the current i through the 7kΩ resistor using current division.

Given that i = 6mA, v = 6V, 2i₁ = 3i₂, i₂ = 2i₃, v₄:v₃ = 2:1, we need to specify the resistors to meet the following specification.

Use voltage division to find the current i through the 30 kΩ resistor and the voltage v across the 6 kΩ resistor.

Use current division and voltage division to find the voltage vab across terminals a-b.

Use voltage division to find the current i through the 30 kΩ resistor and the voltage v across the 6 kΩ resistor.

How should the value of the variable voltage source V_x be adjusted to cause the voltage at node M to be zero?

Find the value of R that will make V_C = 8 volts. For this value of R, find V_B and V_A.

Find the indicated currents; use the node voltage method first.

Determine which sources are delivering power and which sources are absorbing power.

(a) Does the circuit have a "floating voltage source" which would require the "supernode" technique for nodal analysis?

(b) Write the nodal equations for this circuit.

Find all the node voltages in the circuit.

Find the three indicated node voltages using the node voltage method.

Determine the number of nodes in each circuit, and draw a closed contour around each node.

Determine the number of nodes in this circuit, and draw a closed contour around each node.

Determine the number of nodes in this circuit, and draw a closed contour around each node.

Using nodal analysis, find the power delivered or absorbed by each element.

Use the node with the most connected branches as the ground reference, and then determine the remaining node voltages.

Use nodal analysis to determine the resistors that absorb the most and least power.

Write the nodal equations for this circuit.

Find the three indicated node voltages using the node voltage method.

Use mesh current analysis to find Vx.

Use nodal analysis to determine whether the dependent voltage source is absorbing or delivering power to the rest of the circuit.

Use mesh current analysis to find the voltage across each resistor.

Use mesh analysis to determine the two defined currents, Ix and Iy.

Determine all of the mesh currents in the circuit.

Determine all of the mesh currents in the circuit.

Use mesh current analysis to find Vz.

Use mesh current analysis to find the power associated with each voltage source.

Determine each mesh current in this circuit.

Use mesh analysis to find Vx and Iy.

Use mesh current analysis to find the phasor voltages V₁ and V₂.

Find the steady-state sinusoidal current i(t) using mesh current analysis.

Use mesh current analysis to find the phasor current I and the phasor voltages V₁ and V₂.

Find the current I using mesh current analysis.

Find the indicated mesh currents.

Apply repeated source transformations to reduce this to an equivalent circuit at the terminals G-H. The simplified circuit will consist of a voltage source in series with two series-connected passive elements.

Apply repeated source transformations to reduce this to an equivalent circuit at the terminals J-K. The simplified circuit will consist of a current source in parallel with two series-connected passive elements.

Find all of the node voltages in the circuit.

Find the indicated currents expressed as cosine functions. Use the node voltage analysis method first.

Use nodal analysis to determine which impedance element has the lowest voltage magnitude across its terminals.

Find the steady-state sinusoidal voltages v₁(t) and v₂(t) using node voltage analysis.

Find the steady-state sinusoidal voltages v₁(t), v₂(t), and v₃(t) using node voltage analysis.

Find the steady-state sinusoidal voltages v₁(t) and v₂(t) using node voltage analysis.

Use repeated source transformations to convert this circuit into Norton form.

Use repeated source transformations to convert this circuit into Thèvenin form.

Use repeated source transformations to convert this circuit into Thevenin form.