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  • If the power factor changes from<img alt="\frac{1}{2} \text { to } \frac{1}{4}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cfrac%7B1%7D%7B2%7D%20%5Ctext%20%7B%20to%20%7D%20%5Cfrac%7B1%7

If the power factor changes from\frac{1}{2} \text { to } \frac{1}{4} then what is the increase in impedance in A.C.?

Option: 1

20 %


Option: 2

50 %


Option: 3

25 %


Option: 4

100 %


Answers (1)

best_answer

\mathrm{\begin{aligned} & \cos \theta \propto \frac{1}{Z} \\ & \frac{Z_1}{Z_2}=\frac{\cos \theta_1}{\cos \theta_2}=\frac{1 / 4}{1 / 2}=\frac{1}{2} \\ & Z_2=2 Z_1 \end{aligned}}

\mathrm{\text { Percentage change }=\frac{2 Z_1-Z_1}{Z_1} \times 100=100 \% \text {. }}

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HARSH KANKARIA

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