Alternating Current - Result Question 27

27. 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

[2005]

(a) 1πf(2πfLR)

(b) 12πf(2πfLR)

(c) 1πf(2πfL+R)

(d) 12πf(2πfL+R)

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Answer:

Correct Answer: 27. (d)

Solution:

  1. (d) From figure,

tan45=1ωCωLR1ωCωL=R

1ωC=R+ωL(Qω=2πT=2μf)

C=1ω(R+ωL)=12πf(R+2πfL)



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