(C) Let the capacitance of each capacitor be $C$.For series combination,the equivalent capacitance $C_{eq,s}$ is given by:$\frac{1}{C_{eq,s}} = \frac{

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(C) Let the capacitance of each capacitor be $C$.For series combination,the equivalent capacitance $C_{eq,s}$ is given by:$\frac{1}{C_{eq,s}} = \frac{1}{C} + \frac{1}{C} = \frac{2}{C} \Rightarrow C_{eq,s} = \frac{C}{2}$For parallel combination,the equivalent capacitance $C_{eq,p}$ is given by:$C_{eq,p} = C + C = 2C$The ratio of the equivalent capacities in the two cases (series to parallel) is:$\frac{C_{eq,s}}{C_{eq,p}} = \frac{C/2}{2C} = \frac{1}{4} = 1:4$

Class 12 Physics Electric Potential and Capacitance Equivalent Capacitance of Capacitor connected in Series and Parallel

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Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be

JEE MAIN 2021 All JEE MAIN

A
$4: 1$
B
$2: 1$
C
$1: 4$
D
$1: 2$

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Electric Potential and Capacitance

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Equivalent Capacitance of Capacitor connected in Series and Parallel

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Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be

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