JEE Advanced 2022 · Paper 1 · Physics Q3

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PhysicsNumerical+3Question 21 of 54

In the following circuit $C_1 = 12\ \mu F$ , $C_2 = C_3 = 4\ \mu F$ and $C_4 = C_5 = 2\ \mu F$ . The charge stored in $C_3$ is _____ $\mu C$ .

A 6 V battery forms the left side; its top terminal connects through C1 (along the top wire) to a junction T. From T, capacitors C2, C3, C4 and C5 each run down to the common bottom wire, which also joins the bottom of the 6 V battery. A 2 V battery on the right side is connected between the top wire at T and the bottom wire, so C2, C3, C4 and C5 are all directly across the 2 V battery.

Your answer

Answer and worked solution

Official answer: 7.9

Follow the wiring. $C_2$ , $C_3$ , $C_4$ and $C_5$ all join the top junction to the bottom wire. The 2 V battery joins the same two points, so each of these capacitors has exactly 2 V across it. ( $C_1$ and the 6 V battery form a separate loop.)

$Q_3=C_3V=4\ \mu F\times2\ V=8\ \mu C.$

Topics:Series and parallel combinations Capacitors and capacitance

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