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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 lines in the graph correspond to $\mathrm{C}_1$ and $\mathrm{C}_2$ and why?
✓

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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