Question

Find potential drop across each capacitor in the given circuit?

• A. $14\text{V},6\text{V},16\text{V}$
• B. $16\text{V},10\text{V},8\text{V}$
• C. $20\text{V},10\text{V},5\text{V}$
• D. $10\text{V},12\text{V},15\text{V}$

Answer 1

The correct option is A $14\text{V},6\text{V},16\text{V}$

Using potential method, we can solve this problem, by assigning potential to the known points, we can get the unknown potential as shown in fig.


Using Kirchhoff`s junction law, at point $\text{P}$,

$(V_0-20)10+(V_0-(-10\left)\right)8+(V_0-0)2=0$

$\Rightarrow 10V_0-200+8V_0+80+2V_0=0$

$\Rightarrow 20V_0=120$

$\therefore V_0=6\text{V}$

Using $V_0$ we can get potential difference across each capacitor.

Potential difference on $C_1$ is,

$V_1=(20-6)=14\text{V}$

Similarly, potential difference across $C_2$ and $C_3$ are given by,

$V_2=(6-0)=6\text{V}$

$V_3=6-(-10)=16\text{V}$

Hence, option $\left(B\right)$ is correct answer.