Question 8 of 180
Two capacitors and are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are and , respectively. Which of the given statements is true?
Show answer and solution
Answer: (D)
For a capacitor at steady state
Since and are connected in parallel, .
Also from graph
$\begin{aligned}
& \Rightarrow \quad C_1 V_1 \lt C_2 V_2 \\
& \text { i.e. } C_1 \lt C_2 \text { or } C_2\gt C_1 \\
& \qquad \frac{U_1}{U_2}=\frac{C_1 V_1^2}{C_2 V_2^2}=\frac{C_1}{C_2} \lt 1
\end{aligned}$
or or
Since and are connected in parallel, .
Also from graph
$\begin{aligned}
& \Rightarrow \quad C_1 V_1 \lt C_2 V_2 \\
& \text { i.e. } C_1 \lt C_2 \text { or } C_2\gt C_1 \\
& \qquad \frac{U_1}{U_2}=\frac{C_1 V_1^2}{C_2 V_2^2}=\frac{C_1}{C_2} \lt 1
\end{aligned}$
or or
%20C2%201%2C%20U2%20U1%0A(B)%20C1%202%2C%20U1%202%0A(C)%20C1%202%2C%20U1%20U2%0A(D)%20C2%201%2C%20U2%201){kind=link}