A) \[\frac{5}{3}C\]
B) \[\frac{3}{5}C\]
C) \[\frac{3C}{10}\]
D) \[\frac{10C}{3}\]
Correct Answer: A
Solution :
Given: Thickness of each plates \[=\frac{1}{5}\]distance between plates \[=\frac{1}{5}\times d\] The capacitance of capacitor is given by \[{{C}_{1}}=\frac{{{\varepsilon }_{0}}A}{d-t}\] ?(i) Thickness of two conductor is given by \[t=2\left( \frac{d}{2} \right)=\frac{2d}{5}\] Putting the values of t in Eq. (i) \[{{C}_{1}}=\frac{{{\varepsilon }_{0}}A}{d-\frac{2d}{5}}=\frac{5}{3}\frac{{{\varepsilon }_{0}}A}{d}\] \[=\frac{5}{3}C\] \[\left( \text{where}\,C=\frac{{{\varepsilon }_{0}}A}{d} \right)\]You need to login to perform this action.
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