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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 lines in the graph correspond to C1 and C2 and why?

✓

Answer

Line A represents C2

Line B represents C1

$\because \text{C}=\frac{\text{A}\varepsilon_{\circ}}{\text{d}}$

$\therefore \text{C}_{2}= 2\text{C}_{1}$

Also, slope of line   $\frac{\text{q}}{\text{V}}=\text{C}$

Line A, of greater slope, corresponds to C2  while line B corresponds to C1.

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