JEE MAIN - Physics (2022 - 25th July Morning Shift - No. 10)

A condenser of $$2 \,\mu \mathrm{F}$$ capacitance is charged steadily from 0 to $$5 \,\mathrm{C}$$. Which of the following graph represents correctly the variation of potential difference $$(\mathrm{V})$$ across it's plates with respect to the charge $$(Q)$$ on the condenser?
JEE Main 2022 (Online) 25th July Morning Shift Physics - Capacitor Question 54 English Option 1
JEE Main 2022 (Online) 25th July Morning Shift Physics - Capacitor Question 54 English Option 2
JEE Main 2022 (Online) 25th July Morning Shift Physics - Capacitor Question 54 English Option 3
JEE Main 2022 (Online) 25th July Morning Shift Physics - Capacitor Question 54 English Option 4

Explanation

Q = CV

As capacitance is constant so, Q $$\propto$$ V

So graph between V and Q will be a straight line.

Initially voltage, $${V_i} = {{{Q_i}} \over C} = {0 \over {2 \times {{10}^{ - 6}}}} = 0 V$$

and $${V_f} = {{{Q_f}} \over C} = {5 \over {2 \times {{10}^{ - 6}}}} = 2.5 \times {10^6}\,V$$

So correct graph will be A.

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