The following figure shows part of a large network in steady state. Potentials of some of the points are shown. Each capacitor has capacitance of $5 μ F .$ (Plates connected to junction ‘O’ form a neutral isolated system).

Which of the following statements is/are TRUE ?

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From the given information, potential of point O can be determined but that of B cannot be determined.

If charge on capacitor $C_{2}$ were also specified, potential of point O can be determined but that of B cannot be determined.

From the given information, potentials of both the points O and B cannot be determined.

If charge on capacitor $C_{2}$ were also specified, potentials of both the points O and B can be determined.

answer is B, D.

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Detailed Solution

Since no charge will flow in steady state so Question Image

$\begin{array}{l} q_{1} + q_{2} + q_{3} + q_{4} = 0 \\ C [(V_{0} - (- 10))] + (V_{0} - 10) + (V_{0} - V_{B}) + (V_{0} - 0) = 0 \\ 4 V_{0} = V_{B} ...... (1) \\ ∴ W e c a n n o t f i n d t w o v a r i a b l e s V_{0}, V_{B} w i t h t h i s o n e e q u a t i o n . \\ I f i s g i v e n t h e n w e c a n w r i t e V_{0} - V_{B} = \frac{q_{3}}{c} .... (2) \\ T h e n w e c a n f i n d b o t h V_{0}, V_{B} . \end{array}$