A) \[20%\]
B) \[50%\]
C) \[25%\]
D) \[100%\]
Correct Answer: D
Solution :
Power factor is\[\cos \phi =\frac{R}{Z}\] If\[R\]is constant, then \[\cos \phi \propto \frac{1}{Z}\] \[\therefore \] \[\frac{{{Z}_{1}}}{{{Z}_{2}}}=\frac{\cos {{\phi }_{1}}}{\cos {{\phi }_{2}}}=\frac{1/4}{1/2}=\frac{1}{2}\] \[\Rightarrow \] \[{{Z}_{2}}=2{{Z}_{1}}\] \[\therefore \]Percentage change\[=\frac{2{{Z}_{1}}-{{Z}_{1}}}{{{Z}_{1}}}\times 100\] \[=100%\]
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