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 two graphs $P$ and $Q$ correspond to capacitors $C_1$ and $C_2$ and why?

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Answer

$Q$ represents $C_2$ and $P$ represents $C_1,$
Reason: From the graph the slope $\frac{\text{q}}{\text{V}}$ Capacitance is greater for $Q.$
Also according to given conditions the capacitance $\frac{\varepsilon\text{A}}{\text{d}}$ is larger for the $C_2$ because the area of its plates is large and $d$ for the two capacitors is same.
Hence, $Q$ represents $C_2.$

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