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Question 28

Two capacitors $$C_{1}$$ and $$C_{2}$$ are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are $$U_{1}$$ and $$U_{2}$$, respectively. Which of the given statements is true?

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Both capacitors are in parallel ⇒ same voltage at all times

$$q=CV\Rightarrow q\propto C$$

From the graph:

At final (steady state), $$q_2>q_1$$

⇒ $$C_2>C_1$$

Energy stored:

$$U=\frac{1}{2}CV^2\Rightarrow U\propto C$$

(since V is same)

So:

$$U_2>U_1$$

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