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 \[{{X}_{C}}=\frac{1}{\omega C}=\frac{1}{2\pi fC}\] where,\[\omega =2\pi f\] Given, \[{{X}_{C}}=25\Omega ,f=\frac{400}{\pi }Hz\] Hence, \[25=\frac{1}{2\pi \times \frac{400}{\pi }\times C}\] \[\Rightarrow \] \[C=\frac{1}{25\times 800}=50\,\mu F\]You need to login to perform this action.
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