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Electrostatic Potential and Capacitance — Physics STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 SciencePhysicsElectrostatic Potential and Capacitance2 Marks
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?
✓

Answer

$Q$ represents $C_2$ and $P$ represents $C_1$,
Reason: From the graph the slope $\frac{\mathrm{q}}{\mathrm{V}}$ Capacitance is greater for Q .
Also according to given conditions the capacitance $\frac{\varepsilon \mathrm{A}}{\mathrm{d}}$ is larger for the $\mathrm{C}_2$ 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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