A) \[\frac{{{X}_{C}}}{4}\]
B) \[\frac{{{X}_{C}}}{2}\]
C) \[2\,{{X}_{C}}\]
D) \[4\,{{X}_{C}}\]
Correct Answer: A
Solution :
As, \[{{X}_{C}}=\frac{1}{\omega C}\] When C and co are doubled, then \[{{X}_{C}}^{'}=\frac{1}{\left( 2\omega \right)\left( 2C \right)}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{X}_{C}}^{'}=\frac{1}{4\omega C}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{X}_{C}}^{'}=\frac{{{X}_{C}}}{4}\]
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