Question 178: Electrostats & Capacitance

Question

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?

Accepted Answer

Q = CV
As capacitance is constant so, Q $$\propto$$ V
So graph between V and Q will be a straight line.
Initially voltage, $${V_i} = {{{Q_i}} \over C} = {0 \over {2 	imes {{10}^{ - 6}}}} = 0 V$$
and $${V_f} = {{{Q_f}} \over C} = {5 \over {2 	imes {{10}^{ - 6}}}} = 2.5 	imes {10^6}\,V$$
So correct graph will be A.

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Electrostats & Capacitance

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?

Choose the correct answer: