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Question

In a series R, L, C circuit XL = 10 , XC = 4 and R = 6. Find the power factor of the circuit

A
1/2
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B
3/2
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C
5/2
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D
none of the these.
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Solution

The correct option is D none of the these.
Given : XL=10 XC=4 R=6
Impedance of the circuit Z=R2+(XCXL)2
Z=62+(410)=62
Power factor of the circuit cosϕ=RZ
cosϕ=662=12
Correct answer is option D.

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