JEE Main · 2022 · 25 Jul 2022 · Shift 1 · Capacitance

A condenser of

2 μ F

capacitance is charged steadily from 0 to 5C. 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 ?

(A)(see structure)
✓ Correct
(B)(see structure)
(C)(see structure)
(D)(see structure)

Answer: (A)

Solution

The relationship between charge and potential difference for a capacitor is

Q = C V

, or

V = \frac{Q}{C}

.

This is a linear relationship with slope

\frac{1}{C} = \frac{1}{2 \times 1 0 ^{- 6}} = 5 \times 1 0^{5}

.

The graph should be a straight line passing through the origin with positive slope. Option (A) correctly represents this linear relationship.

JEE Main · 2022 · 25 Jul 2022 · Shift 1 · Single correct option

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