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

Question

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?

TestHub · Accepted Answer

For a capacitor at steady state q = C V and U = 2 1 C V 2 Since C 1 and C 2 are connected in parallel, V 1 = V 2 . Also from graph q 1 < q 2 ⇒ C 1 V 1 < C 2 V 2 i.e. C 1 < C 2 or C 2 > C 1 U 2 U 1 = C 2 V 2 2 C 1 V 1 2 = C 2 C 1 < 1 or U 1 < U 2 or U 2 > U 1

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