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 $5 μ F$ .
Which of the following statements is/are TRUE ?

Question

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 $5 μ F$ .

Which of the following statements is/are TRUE ?

TestHub · Accepted Answer

Since no charge will flow in steady state so

$V_{A} - V_{C} = \frac{q _{1}}{5} + \frac{q _{2}}{5} \Rightarrow - 20 = \frac{q _{1} + q _{2}}{5} \Rightarrow q_{1} + q_{2} = - 100 μ C \dots\dots\dots .. (1)$

$V_{B} = \frac{- q _{3}}{5} + \frac{q _{1} - q _{2} - q _{3}}{5} \dots\dots\dots .. (2)$

$V_{0} = \frac{q _{1} - q _{2} - q _{3}}{5} \dots\dots\dots .. (3)$

If charge $q_{2}$ is given the $q_{1}$ will be calculated from equation (1) $- 10 = \frac{q _{1}}{5} + \frac{q _{4}}{5} \Rightarrow q_{4}$ can be calculated so $V_{0}$ can be calculated If $q_{4}$ is known $q_{3}$ can be calculated so $V_{B}$ can be calculated Hence (B) and (D) can be true

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JEE Advanced (2028)