Question Detail

PHY 102 Test Compilation PHY 102 18 Objective Question
Take CBT

Question

A sinusoidal voltage V(t) = 200sin(ωt) is applied to a series RLC circuit with L = 10.0mH, C = 100nF and R = 20.0Ω. Find the amplitude of the voltage across the inductor at the resonant frequency.
Options
A 31.6 × 10³V
B 3.16 × 10³V
Correct Answer
C 3.44 × 10³V
D 34.4 × 10³V
Correct Answer

Option B is the correct answer.

Detailed Explanation

At resonance, Z = R, so I_max = V/R = 200/20 = 10A. X_L at resonance = √(L/C) = √(0.01/1×10⁻⁷) ≈ 316.2Ω, giving V_L = I×X_L ≈ 3.16×10³V.

Hint

At resonance, current amplitude is simply V/R; then multiply by X_L to get the inductor voltage.

Question Info

Course: PHY 102
Topic: Test Compilation PHY 102 18
Type: Objective
Difficulty: Not specified
Question 1152 of 1819
Previous Course Details Next