Question

The equivalent capacity between A and B in figure is
A. C/2
B. C/3
C. 3C
D. 2/C​

Answer 1

Given:

A circuit consisting of two capacitors have been provided.

To find:

Equivalent capacitance in-between Terminals A and B?

Calculation:

First of all , you can see the plane wire which connected to both the sides of the middle capacitor. This means that the capacitor is shorted and should not be considered during calculation.

• The left and the right capacitors are in series.

Let equivalent capacitance be C_(eq):

$\therefore \: \dfrac{1}{C_{eq}} = \dfrac{1}{C} + \dfrac{1}{C}$

$\implies \: \dfrac{1}{C_{eq}} = \dfrac{2}{C}$

$\implies \: C_{eq}= \dfrac{C}{2}$

So, equivalent capacitance is C/2.