Question Detail

PHY 102 Test Compilation PHY 102 3 Objective Question

Question

given RLC circuit: R = 100 Ω, L = 1 H, C = 10 µF, source 200 sin ωt with ω = 400 rad/s. Phase angle and circuit type?
Options
A 33.7° inductive
B 56.3° capacitive
C 33.7° capacitive
D 56.3° inductive
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

X_L = ωL = 400×1 = 400 Ω. X_C = 1/(ωC) = 1/(400×10×10⁻⁶) = 1/0.004 = 250 Ω. X_L > X_C → inductive. tanφ = (X_L–X_C)/R = (150)/100 = 1.5 → φ = 56.3°.

Hint

Inductive if X_L > X_C.

Question Info