(D) Let the capacitance of each capacitor be $C = 1 \ \mu\text{F}$.If two capacitors are connected in series,their equivalent capacitance is $C_s = \f

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The third capacitor is connected in parallel with the series combination of the other two.

(D) Let the capacitance of each capacitor be $C = 1 \ \mu\text{F}$.If two capacitors are connected in series,their equivalent capacitance is $C_s = \frac{C \times C}{C + C} = \frac{C}{2} = 0.5 \ \mu\text{F}$.If this combination is connected in parallel with the third capacitor,the total equivalent capacitance is $C_{\text{eff}} = C_s + C = 0.5 \ \mu\text{F} + 1 \ \mu\text{F} = 1.5 \ \mu\text{F}$.Therefore,the third capacitor is connected in parallel with the series combination of the other two capacitors.

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

Easy

Three capacitors,each of value $1 \ \mu\text{F}$,are connected in such a way that the resultant capacitance is $1.5 \ \mu\text{F}$. Then:

A
All three capacitors are connected in parallel.
B
All three capacitors are connected in series.
C
The third capacitor is connected in series with the parallel combination of the other two.
D
The third capacitor is connected in parallel with the series combination of the other two.

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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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Three parallel plate air capacitors are connected in parallel. Each capacitor has plate area $A/3$ and separation between the plates is $d$, $2d$, and $3d$ respectively. The equivalent capacity of the combination is ($\epsilon_0$ is the permittivity of free space).

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Three capacitors,each of value $1 \ \mu\text{F}$,are connected in such a way that the resultant capacitance is $1.5 \ \mu\text{F}$. Then:

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In the figure,three capacitors each of capacitance $6\,pF$ are connected in series. The total capacitance of the combination will be

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