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Q.

By what percent the impedance in an series LCR, AC circuit should be increased so that the power factor changes from (1/2) to (1/4) (assume resistance R remains constant)

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a

200%

b

100%

c

50%

d

400%

answer is B.

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Detailed Solution

cos⁡ϕ=RZ 12=RZ and 14=RZ1⇒R=Z2⇒14=Z2Z1⇒Z′=2Z % increase in z, z′−zz=100%

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By what percent the impedance in an series LCR, AC circuit should be increased so that the power factor changes from (1/2) to (1/4) (assume resistance R remains constant)