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NEETPhysicsCapacitance

A circuit is connected to a 24 V battery. The circuit consists of C₁ = 6 F and C₂ = 3 F connected in series. This series combination is connected in parallel with C₃ = 2 F . Finally, this entire parallel block is connected in series with C₄ = 4 F . Match the physical quantities in List-I with their numerical values in List-II. List-I List-II (A) Equivalent capacitance of the circuit (I) 4 V (B) Charge on capacitor C₄

Options

  1. A(A)-(II), (B)-(IV), (C)-(I), (D)-(III)
  2. B(A)-(IV), (B)-(III), (C)-(II), (D)-(I)
  3. C(A)-(II), (B)-(III), (C)-(I), (D)-(IV)
  4. D(A)-(III), (B)-(II), (C)-(I), (D)-(IV)

Correct answer

C. (A)-(II), (B)-(III), (C)-(I), (D)-(IV)

Step-by-step solution

The equivalent capacitance of C₁ and C₂ in series is C₁₂ = 6 3 6 + 3 = 2 F . This combination is in parallel with C₃ = 2 F , so the equivalent capacitance of the parallel block is C₁₂₃ = 2 + 2 = 4 F . The parallel block is in series with C₄ = 4 F . The total equivalent capacitance of the circuit is C_ eq = 4 4 4 + 4 = 2 F . This matches (A) with (II). The total charge drawn from the battery is Q_ total = C_ eq V = 2 F 24 V = 48 C . Since C₄ is in series with the rest of the circuit, the charge on C₄ is the total ch

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