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.

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

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

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.

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

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

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

Use superposition to determine the voltage V_X.

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 Thevenin 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.

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

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 voltage v(t) using the superposition method.

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

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

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.

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.

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.

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 current through the 6kΩ resistor.

Calculate the output voltage v_o

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?

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.

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