Concepts Of Physics MCQ Edition [Volume 2]PhysicsCapacitors
In the assembly shown in the figure, each capacitor possesses a capacitance of 2 F . Determine the equivalent capacitance between the points A and B . Additionally, if a battery of emf 60 volts is connected across A and B , compute the potential difference that appears on the individual capacitors.
Options
- A2 F , 20 V
- B18 F , 20 V
- C2 F , 60 V
- D6 F , 60 V
Correct answer
A. 2 F , 20 V
Step-by-step solution
The given circuit consists of three parallel branches between points A and B, where each branch contains three capacitors connected in series. Let the capacitance of each individual capacitor be C = 2 F . For a single branch, the equivalent capacitance C_ branch of the three capacitors in series is calculated as: 1 C_ branch = 1 C + 1 C + 1 C = 3 C C_ branch = C 3 = 2 3 F The total equivalent capacitance C_ AB of the three parallel branches is the sum of their individual capacitances: C_ AB = C_ branch + C_ branch