Question 513: Electrostatics & Capacitance

Question

In the given figure, the equivalent capacitance between points A and B is
![](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lr7tm96w/2c269f27-b25b-4dfb-981a-44612fde140f/c5618880-afbc-11ee-a3bf-633f883869a2/file-6y3zli1lr7tm96x.png?format=png)

Accepted Answer

The given circuit can also be redrawn as,
Thus, the parallel capacitors are calculated as $C_p=C+C+C=3 C$
Hence,
The equivalent capacitance between $A$ and $B$ is
$\begin{aligned}
& \frac{1}{C_{\mathrm{eq}}}=\frac{1}{3 C}+\frac{1}{3 C} \
\Rightarrow \quad & \frac{1}{C_{\mathrm{eq}}}=\frac{2}{3 C} \
\Rightarrow \quad & C_{\mathrm{eq}}=\frac{3}{2} C \
\Rightarrow \quad & C_{\mathrm{eq}}=1.5 C
\end{aligned}$
![](['https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lr7trtal/04455bdd-e917-4828-804e-236dfd1064cc/5ff49bd0-afbd-11ee-a3bf-633f883869a2/file-6y3zli1lr7trtam.png?format=png', 'https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lr7trqe1/1c16ec6a-42c9-432e-b02d-6134184fbc8a/5db64490-afbd-11ee-a3bf-633f883869a2/file-6y3zli1lr7trqe2.png?format=png'])

Answer

1.5 C

Answer

2 C

Answer

3 C

Answer

6 C

Electrostatics & Capacitance

In the given figure, the equivalent capacitance between points A and B is

Choose the correct answer: