AIIMS2018Physics-Electrostatics

AIIMS 2018 Physics Capacitance MCQ Question

Type: MCQ-numerical-Medium-Class 12

For the circuit shown in the figure, the charge on 2μF2\mu\text{F} capacitor is

Question diagram
A

15 μC15\ \mu\text{C}

B

20 μC20\ \mu\text{C}

C

30 μC30\ \mu\text{C}

D

45 μC45\ \mu\text{C}

Correct Answer

Option A

Detailed Explanation

The voltage at point B is calculated using charge conservation, leading to the equation 5(V10)+2(V0)+1(V10)=05(V - 10) + 2(V - 0) + 1(V - 10) = 0. Solving this gives V=7.5VV = 7.5 \, \text{V}, confirming that option A is correct. The other options (15 V, 30 V, and 45 V) do not satisfy the charge conservation equation, indicating that they do not represent the correct potential difference at point B in the circuit. Understanding charge conservation is crucial in analyzing circuits, as it ensures that the total charge remains constant throughout the system.

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