BEE DC and AC Circuit Analysis 3

Question 1

What is the resonant frequency of a series RLC circuit with L = 10 mH and C = 10 μF?

Accepted Answer

503 Hz

Answer

f₀ = 1/(2π√LC) = 1/(2π√(0.01 × 10⁻⁵)) ≈ 503 Hz.

Question 2

In a parallel RLC circuit, resonance occurs when the circuit exhibits:

Accepted Answer

Maximum impedance and minimum current

Answer

At parallel resonance, the susceptances of L and C cancel, yielding maximum impedance and minimum line current drawn from the source.

Question 3

Applying the superposition theorem, what must be done with independent sources not under consideration?

Accepted Answer

Voltage sources are short-circuited; current sources are open-circuited

Answer

Superposition requires deactivating all other independent sources: replace voltage sources with short circuits and current sources with open circuits.

Question 4

What is the reactance of a 100 μF capacitor at 60 Hz?

Accepted Answer

26.5 Ω

Answer

Xc = 1/(2πfC) = 1/(2π × 60 × 100×10⁻⁶) ≈ 26.5 Ω.

Question 5

In a DC circuit, if two resistors R1 = 4 Ω and R2 = 6 Ω are connected in parallel, what is the equivalent resistance?

Accepted Answer

2.4 Ω

Answer

Req = (R1 × R2)/(R1 + R2) = (4 × 6)/(4 + 6) = 24/10 = 2.4 Ω.

BEE - Bachelor of Electrical Engineering Practice Test

BEE - Bachelor of Electrical Engineering Practice Test

BEE DC and AC Circuit Analysis 3