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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?
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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