Concepts Of Physics MCQ Edition [Volume 2]PhysicsCapacitors
Calculate the charge appearing on each of the three capacitors shown in the diagram.
Options
- A24 C on the 8 F capacitor and 48 C on each of the 4 F capacitors
- B48 C on the 8 F capacitor and 24 C on each of the 4 F capacitors
- C96 C on the 8 F capacitor and 48 C on each of the 4 F capacitors
- D48 C on the 8 F capacitor and 48 C on each of the 4 F capacitors
Correct answer
B. 48 C on the 8 F capacitor and 24 C on each of the 4 F capacitors
Step-by-step solution
From the given circuit diagram, capacitors B and C are in parallel. Equivalent capacitance of B and C is: C_ BC = 4 F + 4 F = 8 F Capacitor A is in series with this parallel combination. The equivalent capacitance of the entire circuit is: C_ eq = 8 8 8 + 8 = 4 F Total charge drawn from the battery is: Q = C_ eq V = 4 F 12 V = 48 C Since capacitor A is in the main branch, the charge on the 8 F capacitor is 48 C . This charge of 48 C distributes equally between the two identical 4 F capacitors in parallel. Charge on