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Three uncharged capacitors of capacitance C1 = 1micro F, C2 = 2 micro F and C3 = 3 micro F are connected as shown in the figure to one another and to points A, B and D. Potential at A = 10V, at B= 25V and at D = 20V. Determine the potential at O

Three uncharged capacitors of capacitance C1 = 1micro F, C2 = 2 micro F and C3 = 3 micro F are connected as shown in the figure to one another and to points A, B and D. Potential at A = 10V, at B= 25V and at D = 20V. Determine the potential at O

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Grade:11

2 Answers

Eshan
askIITians Faculty 2095 Points
5 years ago
Let the potential at point O beV_0. From Kirchoff’s voltage law, the current passing from B to O will be divided into branches OA and OD. Hence the charge aquired on the branch BO will be equal to that on OD and OA summed together.

\implies 2(25-V_0)=3(V_0-20)+1(V_0-10)
\implies V_0=20V
Khimraj
3007 Points
5 years ago
Va = 10V
Vb = 25V
Vc = 20V
V = ?
Applying KCL
Qa + Qb + Qc =0
1(10 -V) + 2(25 – V) + 3(20 -V) = 0
120 -6V = 0.
So V = 20V
Hope it clears.

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