Complete the following statements with an appropriate word /term be filled in the blank space(s).

The equivalent capacitance C for the parallel combination of three capacitance $C_{1}, C_{2}$ and $C_{3}$ is given by $C =$ ..............

C_{1} + C_{2} + C_{3}

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\frac{1}{C_{1} + C_{2} + C_{3}}

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⎛ ⎜ ⎜ ⎜ ⎝ \frac{1}{\frac{1}{C_{1}} + \frac{1}{C_{2}} + \frac{1}{C_{3}}} ⎞ ⎟ ⎟ ⎟ ⎠

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(\frac{1}{C_{1}} + \frac{1}{C_{2}} + \frac{1}{C_{3}})

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Solution

The correct option is A $C_{1} + C_{2} + C_{3}$
In parallel, the net capacitance is equal to the sum of individual capacitances. In this case, $C = Q / v = Q / (v_{1} + v_{2} + v_{3}) = Q / v_{1} + Q / v_{2} + Q / v_{3} = C_{1} + C_{2} + C_{3}$

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