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.