Three uncharged capacitors of capacities $C_{1}, C_{2}$ and $C_{3}$ are connected as shown in the figure to one another and the points A, B and C are at potentials $V_{1}, V_{2}$ and $V_{3}$ respectively. Then the potential at O will be:

$\frac{V_{1} C_{1} + V_{2} C_{2} + V_{3} C_{3}}{C_{1} + C_{2} + C_{3}}$
$\frac{V_{1} (V_{2} + V_{3})}{C_{1} (C_{2} + C_{3})}$
$\frac{V_{1} + V_{2} + V_{3}}{C_{1} + C_{2} + C_{3}}$
$\frac{V_{1} V_{2} V_{3}}{C_{1} C_{2} C_{3}}$

Question

Toppr Admin · Accepted Answer

The net charge in the encircled portion is zero-Therefore-C1-x2212-V1-Vo-C2-Vo-x2212-V2-C3-Vo-x2212-V3-0-x21D2-Vo-C1V1-C2V2-C3V3C1-C2-C3-xA0-

Three uncharged capacitors of capacities C1,C2 and C3 are connected as shown in the figure to one another and the points A, B and C are at potentials V1,V2 and V3 respectively. Then the potential at O will be:V1C1+V2C2+V3C3C1+C2+C3V1(V2+V3)C1(C2+C3)V1+V2+V3C1+C2+C3V1V2V3C1C2C3