Expert-Level Electrical Engineering Quiz: Six Hard Problems
Six rigorous multiple‑choice items probing deep concepts in electrical engineering.
Quiz Questions
Answer all questions below and test your knowledge.
- 1
A series RLC circuit with R=10 Ω, L=200 mH, and C=50 µF is driven by a step voltage. What is the damped natural frequency ωd in rad/s?
- 2
An industrial load draws 150 kW at 0.78 lagging power factor on a 400 V, 50 Hz three‑phase supply. What reactive power (kVAR) must a capacitor bank supply to raise the overall PF to 0.92 lagging?
- 3
A balanced three‑phase source supplies a Y‑connected load with a single line‑to‑ground fault at phase A. If the pre‑fault line voltage is 230 kV line‑to‑line, what is the magnitude of the zero‑sequence voltage at the fault point assuming negligible source impedance?
- 4
A power MOSFET with threshold voltage Vth=2 V is used as a linear amplifier. To keep it in the saturation region with a drain current of 5 A, the gate voltage must be set at approximately what value, given a transconductance parameter kn'=200 µA/V² and (W/L)=100?
- 5
Design a second‑order low‑pass Butterworth filter with a –3 dB cutoff at 1 kHz. Which component pair (R in Ω, C in µF) satisfies ωc=1/RC?
- 6
A solenoid 0.5 m long has 1500 turns and carries 3 A. What is the magnitude of the magnetic field at its centre in tesla?
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