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Physics - Capacitor Question with Solution | TestHub

PhysicsCapacitorForce & Energy analysisMedium2 minQB

PhysicsMediumsingle choice

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?

Options:

Answer:

Solution:

For a capacitor at steady state $q = C V and U = \frac{1}{2} C V^{2}$ Since $C_{1}$ and $C_{2}$ are connected in parallel, $V_{1} = V_{2}$ . Also from graph $q_{1} < q_{2}$ $\Rightarrow C_{1} V_{1} < C_{2} V_{2} i.e. C_{1} < C_{2} or C_{2} > C_{1} \frac{U _{1}}{U _{2}} = \frac{C _{1} V _{1}^{2}}{C _{2} V _{2}^{2}} = \frac{C _{1}}{C _{2}} < 1$ or $U_{1} < U_{2}$ or $U_{2} > U_{1}$

Stream:JEESubject:PhysicsTopic:CapacitorSubtopic:Force & Energy analysis

⏱ 2mℹ️ Source: QB

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