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 1

Q represents C₂ and P represents C₁

Reason: From the graph the slope q/v = Capacitance is greater for Q.

Also according to given conditions the capacitance \(\cfrac{\varepsilon A}d\) 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.