Question

Find equivalent capacitance between points $A$ and $B.$ (Assume each conducting plate is having same dimensions and neglect thickness of the plate, $\frac{ϵ_{O} A}{d}=7\mu F,$ where $A$ is area of plates):-

• A. $7\mu F$
• B. $11\mu F$
• C. $12\mu F$
• D. $15\mu F$

Answer 1

Answer: (B)

$C=\frac{\epsilon _{0} A}{ d}=7\mu F$
$C_{A B}=C+\frac{\frac{4 C}{3} \times C}{\frac{4 C}{3} + C}$
$=C+\frac{4 C}{7}=\frac{11 C}{7}$
$C_{A B}=11\mu F$