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Q.

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

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a

12πf(2πfL+R)

b

1πf(2πfL+R)

c

12πf(2πfL−R)

d

1πf(2πfL−R)

answer is A.

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Detailed Solution

tanφ=XC−XLR⇒tan45o=12πfC−2πfLR⇒C=12π f(2πfL+R)
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