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Q.

Two capacitors C₁ and C₂ are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are U₁and U₂, respectively. Which of the given statements is true ?

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a

$C_{1} > C_{2}, U_{1} < U_{2}$

b

$C_{1} > C_{2}, U_{1} > U_{2}$

c

$C_{2} > C_{1}, U_{2} < U_{1}$

d

$C_{2} > C_{1}, U_{2} > U_{1}$

answer is D.

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Detailed Solution

potential difference

$v \to s a m e$

$U = 1 / 2 c v^{2}$

$a s q_{1} < q_{2}$

$∴ c_{1} < c_{2}$

$& U_{1} < U_{2}$

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Two capacitors C1 and C2 are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are U1 and U2 , respectively. Which of the given statements is true ?