The given graph shows the variation of charge q versus potential … - Vidyadip

Question

The given graph shows the variation of charge $q$ versus potential difference $V$ for two capacitors $C_1$ and $C_2.$ The two capacitors have same plate separation, but the plate area of $C_2$ is double than that of $C_1.$ Which of the lines in the graph correspond to $C_1$ and $C_2$ and why?

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Answer

Line $A$ represents $C_2$ Line $B$ represents $C_1$
{$\because \text{C}=\frac{\text{A}\varepsilon_{\circ}}{\text{d}}$}
$\therefore \text{C}_{2}= 2\text{C}_{1}$
Also, slope of line $\frac{\text{q}}{\text{V}}=\text{C}$
Line $A,$ of greater slope, corresponds to $C_2$ while line $B$ corresponds to $C_{1.}$

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