Question 199: Electrostatics & Capacitance

Question

Two capacitors $\mathrm{C}_1$ and $\mathrm{C}_2$ are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are $\mathrm{U}_1$ and $\mathrm{U}_2$, respectively. Which of the given statements is true?

Accepted Answer

Since parallel combination, so v is same for both
we know, $q=cv$
$\Rightarrow q \propto C$ (for constant v)
we can see in the graph,
at final state, $q_2 > q_1$,
so $c_2 > c_1$
Now, as $$u = {1 \over 2}c{v^2} \Rightarrow u \propto c$$ (for constant v)
$$ \Rightarrow {u_2} > {u_1}$$
Hence, option 1 is correct.

Answer

$\mathrm{C}_2>\mathrm{C}_1, \mathrm{U}_2>\mathrm{U}_1$

Answer

$\mathrm{C}_1>\mathrm{C}_2, \mathrm{U}_1>\mathrm{U}_2$

Answer

$\mathrm{C}_2>\mathrm{C}_1, \mathrm{U}_2<\mathrm{U}_1$

Answer

$\mathrm{C}_1>\mathrm{C}_2, \mathrm{U}_1<\mathrm{U}_2$

Electrostatics & Capacitance

Two capacitors \mathrm{C}_1 and \mathrm{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 \mathrm{U}_1 and \mathrm{U}_2, respectively. Which of the given statements is true?

Choose the correct answer: