AIPMT PRELIMS2005Physics-AC Circuits

AIPMT PRELIMS 2005 Physics Resonance in RLC Circuits MCQ Question

Type: MCQ-numerical-Hard-Class 12

In a circuit, L, C and R are connected in series with an alternating voltage source of frequency f. The current leads the voltage by 45°. The value of C is :

A

1/(2πf(2πfL + R))

B

1/(2πf(2πfL - R))

C

1/(2πf(R - 2πfL))

D

1/(2πf(R + 2πfL))

Correct Answer

Option C

Detailed Explanation

For the current to lead the voltage by 45°, the circuit must be capacitive. The condition for resonance gives the value of C as (1)/(2πf(2πfL + R)).

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