Q153 / 170 · Manipal (MET) 2020 · Physics
Five equal capacitors each with capacitance $C$ are connected as shown in figure. Then, the equivalent capacitance between $A$ and $B$ is


- A5 C
- B$\frac{C}{5}$
- C$3 C$
- Correct answerD$C$
Solution
Consider the given circuit,

The circuit can be redrawn as shown below.
The circuit is a balanced bridge. We can remove the capacitor between $C$ and $D$.
Thus, equivalent capacitance between $A$ and $B$ is $C_{A B}=\frac{C}{2}+\frac{C}{2}=C$

The circuit can be redrawn as shown below.

The circuit is a balanced bridge. We can remove the capacitor between $C$ and $D$.

Thus, equivalent capacitance between $A$ and $B$ is $C_{A B}=\frac{C}{2}+\frac{C}{2}=C$
Hence, the correct answer is option: 'D'.