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 Figure

  • A
    5 C
  • B
    $\frac{C}{5}$
  • C
    $3 C$
  • Correct answer
    D
    $C$

Solution

Consider the given circuit, Figure
The circuit can be redrawn as shown below.Figure
The circuit is a balanced bridge. We can remove the capacitor between $C$ and $D$.Figure
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'.

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