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JEE Main 2022 (25 Jul, Shift 1) · Capacitance of a Conductor

Capacitance of a Conductor question from JEE Main 2022 (25 Jul, Shift 1)

Q11JEE Main 2022 · 25 JUL · SHIFT 1Easy

Capacitance of a Conductor

A condenser of $2\ \mu\text{F}$ capacitance is charged steadily from 0 to $5\text{ C}$ . Which of the following graph represents correctly the variation of potential difference $(V)$ across it's plates with respect to the charge $(Q)$ on the condenser?

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Answer: (a)

$V = \frac{Q}{C}$ with constant $C$ , so $V \propto Q$ : a straight line through the origin.
At $Q = 5\text{ C}$ : $V = \frac{5}{2\times10^{-6}} = 2.5\times10^{6}\text{ V}$ .
So the answer is (a), the straight line ending at $2.5\times10^{6}\text{ V}$ .

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