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Question

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?

A
$$\dfrac{V_1+V_2+V_3}{C_1+C_2+C_3}$$
B
$$\dfrac{V_1C_1+V_2C_2+V_3C_3}{C_1+C_2+C_3}$$
C
$$\dfrac{V_1V_2V_3}{C_1C_2C_3}$$
D
$$\dfrac{V_1(V_2+V_3)}{C_1(C_2+C_3)}$$
Solution
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Correct option is A. $$\dfrac{V_1C_1+V_2C_2+V_3C_3}{C_1+C_2+C_3}$$

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