A) X
B) 2X
C) 4X
D) \[\frac{X}{4}\]
Correct Answer: D
Solution :
[d] If a capacitor of capacitance C is connected with an AC signal, then reactance of that circuit is purely capacitive. |
The capacitive reactance is |
\[X=\frac{1}{\omega C}=\frac{1}{2\,\pi \,f\,C}\] \[(\omega =2\,\pi \,f)\] |
or \[X\,\,\propto \,\,\frac{1}{f\,C}\] |
\[\therefore \] \[\frac{X'}{X}=\frac{fC}{f'C'}=\frac{f\times C}{2f\times 2C}\] |
or \[\frac{X'}{X}=\frac{1}{4}\] |
or \[X'=\frac{X}{4}\] |
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