Referring to the given circuit, find ZTH if R is 15 k? and RL is 38 k?. 89.82 ??

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Question
Referring to the given circuit, find Z_TH if R is 15 kΩ and R_L is 38 kΩ.
Options
A. 89.82 ∠?51.3� kΩ
B. 19.2 ∠?38.3� kΩ
C. 9.38∠?51.3� kΩ
D. 180 ∠?38.3� kΩ

Correct Answer

9.38∠?51.3� kΩ

Circuit Theorems in AC Analysis problems

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1. If two currents are in the same direction at any instant of time in a given branch of a circuit, the net current at that instant
Options
A. is zero
B. is the sum of the two currents
C. is the difference between the two currents
D. cannot be determined

2. Norton's theorem gives
Options
A. an equivalent current source in parallel with an equivalent impedance
B. an equivalent current source in series with an equivalent impedance
C. an equivalent voltage source in parallel with an equivalent impedance
D. an equivalent voltage source in series with an equivalent impedance

5. Referring to the given figure, determine Z_TH as seen by R_L if R₁ is changed to 3.3 kΩ.
Options
A. 1488∠?70.7� Ω
B. 3859 ∠?31.2� Ω
C. 5180 ∠?50.5� Ω
D. 1828∠?50.2� Ω

6. In order to get maximum power transfer from a capacitive source, the load must
Options
A. have a capacitive reactance equal to circuit resistance
B. have an impedance that is the complex conjugate of the source impedance
C. be as capacitive as it is inductive
D. none of the above

7. For the circuit shown, determine Z_TH for the portion of the circuit external to R_L.
Options
A. 66.7 ∠?33.7� kΩ
B. 6.67∠?333.7� kΩ
C. 14.4 ∠?56.3� kΩ
D. 1.44 ∠?33.7� kΩ

9. A three-phase △-connected generator is driving a balanced load such that each phase current is 12 A in magnitude. When I ?_a = 12 ∠30� A, what are the polar expressions for the other phase currents?
Options
A. I _?b = 12 ∠150� A, I _?c = 12∠?90� A
B. I _?b = 12∠120� A, I _?c = 12∠30� A
C. I _?b = 12∠30� A, I _?c = 12∠120� A
D. I _?b = 12∠90� A, I _?c = 12∠90� A

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