STANDARDPhysics-Alternating Current

STANDARD Physics AC Circuits MCQ Question

Type: MCQ-numerical-Medium-Class 12

In the series LCR circuit shown, the impedance is

Question diagram
A

200 Ω

B

100 Ω

C

300 Ω

D

500 Ω

Correct Answer

Option D

Detailed Explanation

The impedance Z in a series LCR circuit is given by Z = √(R² + (Xₗ - Xc)²). With L = 1 H, C = 20 μF, R = 300 Ω, and frequency 50/π Hz, the inductive reactance Xₗ = 100 Ω and capacitive reactance Xc = 100 Ω. Thus, Z = √(300² + (100 - 100)²) = 500 Ω.

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