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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 C1 and C2. The two capacitors have same plate separation but the plate area of C2 is double than that of C1. Which of the two graphs P and Q correspond to capacitors C1 and C2 and why?

✓

Answer

Q represents C2 and P represents C1,
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 C2 because the area of its plates is large and d for the two capacitors is same. Hence, Q represents C2.

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