Concepts Of Physics MCQ Edition [Volume 2]
- Exam
- Concepts Of Physics MCQ Edition [Volume 2]
- Subject
- Physics
- Chapter
- Capacitors
Concepts Of Physics MCQ Edition [Volume 2] · Physics · Capacitors
Determine the equivalent capacitance of the combination depicted in...
Determine the equivalent capacitance of the combination depicted in the figure.

Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
Let the left terminal be node and the right terminal be node .
The left plates of the top and bottom capacitors are directly connected to node .
The right plates of the top and bottom capacitors are connected to the top and bottom wires, respectively. These wires are joined together at the right end by a vertical wire and connected to node . Thus, the right plates of both these capacitors are at the potential of node .
The middle capacitor is connected between the top and bottom wires. Since both these wires are connected together at node , both plates of the middle capacitor are at the same potential. Therefore, it is short-circuited and does not contribute to the equivalent capacitance.
The circuit simplifies to two capacitors, each of capacitance , connected in parallel between nodes and .
The equivalent capacitance is .
The left plates of the top and bottom capacitors are directly connected to node .
The right plates of the top and bottom capacitors are connected to the top and bottom wires, respectively. These wires are joined together at the right end by a vertical wire and connected to node . Thus, the right plates of both these capacitors are at the potential of node .
The middle capacitor is connected between the top and bottom wires. Since both these wires are connected together at node , both plates of the middle capacitor are at the same potential. Therefore, it is short-circuited and does not contribute to the equivalent capacitance.
The circuit simplifies to two capacitors, each of capacitance , connected in parallel between nodes and .
The equivalent capacitance is .