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Question: In a circuit L,C and R are connected in series with an alternating voltage source of frequency f. Th...

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 450. The value of C is –

A

1πf(2πfL+R)\frac{1}{\pi f(2\pi fL + R)}

B

12πf(2πfL+R)\frac{1}{2\pi f(2\pi fL + R)}

C

1πf(2πfL−R)\frac{1}{\pi f(2\pi fL - R)}

D

12πf(2πfL−R)\frac{1}{2\pi f(2\pi fL - R)}

Answer

12πf(2πfL−R)\frac{1}{2\pi f(2\pi fL - R)}

Explanation

Solution

tanf = XL−XCR\frac{X_{L} - X_{C}}{R}