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Q.

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:

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a

32

b

122

c

12

d

12

answer is C.

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Detailed Solution

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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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: