A) 30\[\mu \]F
B) 15\[\mu \]F
C) 3 \[\mu \]F
D) 10 \[\mu \]F
Correct Answer: A
Solution :
\[{{C}_{air}}=\frac{{{\varepsilon }_{0}}A}{d}=10\,\mu F\] \[\therefore \] \[C={{C}_{1}}+{{C}_{2}}=\frac{{{K}_{1}}{{\varepsilon }_{2}}A/2}{d}+\frac{{{K}_{2}}{{\varepsilon }_{0}}A/2}{d}\] \[=\left( \frac{{{K}_{1}}+{{K}_{2}}}{2} \right)\frac{{{\varepsilon }_{0}}A}{d}\] \[=\left( \frac{2+4}{2} \right)\times 10=30\,\mu F\]
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