ELEC260 Electrical Circuit Paper

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1. For the sinusoidal waveform below:

a. What is the peak value?

b. What is the instantaneous value at 15 ms and at 20 ms?

c. What is the peak-to-peak value of the waveform?

d. What is the period of the waveform?

e. How many cycles are shown?

2. For the oscilloscope display in below:

a. Determine the period of the waveform.

b. Determine the frequency of each waveform.

c. Find the rms value of each waveform.

d. Determine the phase shift between the two waveforms and determine which leads and which lags.

3. Determine the value capacitance that has a reactance of

a. 60Ω at f = 265Hz.

b. 1.2 kΩ at 34 kHz.

4.

5. For the circuit below

a. Find the total impedance ZT in polar form.

b. Draw the impedance diagram.

c. Find the current I and the voltages VR and VL in phasor form.

d. Draw the phasor diagram of the voltages E, VR, and VL, and the current I.

e. Verify Kirchhoff’s voltage law around the closed loop.

f. Find the average power delivered to the circuit.

g. Find the power factor of the circuit, and indicate whether it is leading or lagging.

h. Find the sinusoidal expressions for the voltages and current if the frequency is 60 Hz.

6. Find the total impedance of the parallel networks below in rectangular and polar form.

7. For the circuit below

a. Find the total number of watts, volt-amperes reactive, and volt-amperes, and the power factor Fp.

b. Draw the power triangle.

c. Find the current Is

8. For the network below

a. Find the average power delivered to each element.

b. Find the reactive power for each element.

c. Find the apparent power for each element.

d. Find the total number of watts, volt-amperes reactive, volt-amperes, and power factor Fp of the network.

e. Sketch the power triangle.

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