FREE BEE Bachelor of Electrical Engineering DC and AC Circuit Analysis Questions and Answers Flashcards
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A Wheatstone bridge is balanced when R1 = 100 Ω, R2 = 200 Ω, and R3 = 150 Ω. What is the value of the unknown resistance R4?
Answer: 300 Ω
At balance R1/R2 = R3/R4, so R4 = R2×R3/R1 = 200×150/100 = 300 Ω.
What is the average power dissipated in a resistor of 10 Ω when an AC voltage of 100 V peak is applied across it?
Answer: 500 W
Vrms = 100/√2 ≈ 70.7 V, so P = Vrms²/R = 5000/10 = 500 W.
In a DC circuit, applying the superposition theorem requires that all sources except one be:
Answer: Voltage sources replaced by short circuits and current sources by open circuits
Superposition requires deactivating all independent sources except one — voltage sources become short circuits and current sources become open circuits.
The quality factor (Q) of a series RLC circuit with R = 5 Ω, L = 50 mH, and C = 20 μF at resonance is approximately:
Answer: 10
Q = (1/R)√(L/C) = (1/5)√(0.05/0.00002) = (1/5)×50 = 10.
Norton's theorem states that any linear two-terminal DC network can be replaced by:
Answer: A current source in parallel with a resistance
Norton's theorem represents any linear circuit as an equivalent current source in parallel with an equivalent resistance.
In a parallel RL AC circuit, if the resistance branch draws 3 A and the inductance branch draws 4 A, the total supply current is:
Answer: 5 A
In a parallel RL circuit the branch currents are 90° apart, so total current = √(3² + 4²) = 5 A.