

Exam 1  Circuit Impedance Analysis
The following exam is in two parts. The first part is multiple choice. The student should read the question,
decide on the correct answer and circle the correct letter. The second part of the exam is problem solving.
There are two problems with multiple answers. All numeric answers should be enclosed in a box. All work
should be in a neat and logical form for maximum credit. The exam will review lecture concepts relating to;
thevenin equivalent circuit, max power transfer, loads, total impedance, coils, voltage sources and current
sources, magnitude and phase angle, complex notation, rectangular and polar, susceptance, admittance, and power
factor. Good luck.
3. What is the susceptance of a 100μF capacitor at 1000Hz?
a. 0.63S
b. 1.59S
c. 10^{4}S
d. 10^{4}S
5. A circuit has a power factor of 0.8 lagging. The circuit dissipates 100W of power with an input voltage of 500V.
What is the impedance of the circuit expressed in Rectangular form?
a. 1200Ω  j1600Ω
b. 1200Ω + j1600Ω
c. 1600Ω  j1200Ω
d. 1600Ω + j1200Ω
11. Given the circuit in Figure 7, calculate the following parameters:
a. The total impedance Z_{T}
b. The voltage across the current source V_{t}
c. The voltage across the coil, V_{1}
12. Given the circuit in Figure 8, calculate the following:
a. Find a thevenin equivalent circuit. Find Vth and Zth and draw the equivalent circuit.
b. What value should the impedance load Z_{load} be to ensure maximum power transfer?
c. What is the maximum power that could be delivered to the load, P_{max}?
Solutions: Provided in the Exam Notes Calculations Section below.
Engineering key words: Circuit test, examination, solutions, answers, AC, alternating current, Thevenin,
Norton, equivalent circuit, polar, resistance, inductance, capacitance, RL, RC, RLC, passive component,
total impedance, cap, delta, calculation, admittance and susceptance, phase and complex notation, power,
watts, voltage, current, peek to peek, frequency, load, max and min.
