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In a series LCR circuit, the inductive reactance XL  is  10Ω and the capacitive reactance XC  is  4Ω. The resistance (R) in the circuit is 6Ω . The power factor of the circuit is:

a
32
b
122
c
12
d
12

detailed solution

Correct option is C

XL=10Ω  ;XC=4Ω   ;  R=6ΩPower factor = cosθ=RZZ=R2+XL−Xc2=36+10−42=36+36=62Ωcosθ=RZ=662=12

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