STANDARDPhysics-Alternating Current

STANDARD Physics Impedance in AC Circuits MCQ Question

Type: MCQ-numerical-Medium-Class 12

A circuit containing a 20 Ω resistor and 0.1 μF capacitor in series is connected to 230 V ac supply of angular frequency 100 rad s⁻¹. The impedance of the circuit is

A

10⁵ Ω

B

10⁴ Ω

C

10⁶ Ω

D

10¹⁰ Ω

Correct Answer

Option A

Detailed Explanation

The impedance Z is calculated using the formula Z = √(R² + (1/ω²C²)). Substituting R = 20 Ω, C = 0.1 μF = 10⁻⁷ F, and ω = 100 rad/s, we get Z ≈ 10⁵ Ω.

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