A) 6
B) 8
C) 10
D) 12
Correct Answer: B
Solution :
: Capacity of a parallel plate capacitor \[=\frac{{{\varepsilon }_{0}}KA}{d}\] Initially, \[{{C}_{1}}=\frac{{{\varepsilon }_{0}}A}{d}\] Let separation be increased by\[x\]. Finally,\[{{C}_{2}}=\frac{{{\varepsilon }_{0}}A}{(d+x-t)+\frac{t}{K}}\] Since\[{{C}_{1}}={{C}_{2}},\] \[d=d+x-t+\frac{t}{k};\] \[t-x=\frac{t}{K}\] \[K=\frac{t}{t-x}=\frac{4\times {{10}^{-3}}}{4\times {{10}^{-3}}-3.5\times {{10}^{-3}}}=\frac{4}{4-3.5}=8\]You need to login to perform this action.
You will be redirected in
3 sec