A) \[75\,\,\mu F\]
B) \[100\,\,\mu F\]
C) \[25\,\,\mu F\]
D) \[50\,\,\mu F\]
Correct Answer: D
Solution :
Capacitive reactance \[{{X}_{C}}\] is given by \[{{X}_{C}}=\frac{1}{\omega \,C}=\frac{1}{2\pi f\,C}\] where, \[\omega =2\pi f\] Given,\[{{X}_{C}}=25\Omega ,\,\,f=\frac{400}{\pi }Hz\] Hence, \[25=\frac{1}{2\pi \times \frac{400}{\pi }\times C}\] \[\Rightarrow \] \[C=\frac{1}{25\times 800}=50\mu F\]
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