MCQ
Find out equivalent capacitance between $A$ and $B$.
  • A
    $\frac{{5A{\varepsilon _0}}}{{3d}}$
  • $\frac{{3A{\varepsilon _0}}}{{5d}}$
  • C
    $\frac{{3A{\varepsilon _0}}}{{2}}$
  • D
    $\frac{{2A{\varepsilon _0}}}{{3}}$

Answer

Correct option: B.
$\frac{{3A{\varepsilon _0}}}{{5d}}$
b
Let $\mathrm{C}=\frac{\mathrm{A} \in_{0}}{\mathrm{d}} .$ Equivalent circuit

$\frac{1}{C_{e q}}=\frac{1}{C}+\frac{2}{3 C}=\frac{5}{3 C}$

${C_{eq}} = \frac{{3C}}{5} = \frac{{3A{ \in _0}}}{{5d}}$

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