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JEE Main202528 Jan 2025Morning ShiftPhysicsCapacitanceActual

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?

Options

  1. AC ₂ C ₁, U ₂ U ₁
  2. BC ₁ C ₂, U ₁ U ₂
  3. CC ₁ C ₂, U ₁ U ₂
  4. DC ₂ C ₁, U ₂ U ₁

Correct answer

D. C ₂ C ₁, U ₂ U ₁

Step-by-step solution

For a capacitor at steady state q=C V and U= 1 2 C V^2 Since C₁ and C₂ are connected in parallel, V₁=V₂ . Also from graph q₁ C₁ & U₁ U₂ = C₁ V₁^2 C₂ V₂^2 = C₁ C₂ U₁

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