A) \[\frac{C}{2}(K+1)\]
B) \[\frac{C}{2(K+1)}\]
C) \[\frac{(K+1)}{2C}\]
D) \[C\,(K+1)\]
Correct Answer: A
Solution :
We can assume that both capacitors are joined in parallel. In parallel \[C={{C}_{1}}+{{C}_{2}}\] \[=\frac{{{\varepsilon }_{0}}A}{2d}+\frac{{{\varepsilon }_{0}}AK}{2d}\] \[C=\frac{{{\varepsilon }_{0}}A}{2d}(1+K)\] \[C=\frac{1}{2}\left[ \frac{{{\varepsilon }_{0}}A}{d}(K+1) \right]\] \[=\frac{C}{2}(K+1)\]
You need to login to perform this action.
You will be redirected in
3 sec
