In given figure, three capacitors C₁, C₂ and C₃ are joined to a battery, with symbols having t

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1. Electric Charges and Fields

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In the given figure, three capacitors $C_1, C_2$ and $C_3$ are joined to a battery, with symbols having their usual meanings, the correct conditions will be

A

$Q_1 = Q_2 = Q_3$ and $V_1 = V_2 = V_3 + V$

B

$Q_1 = Q_2 + Q_3$ and $V = V_1 + V_2 + V_3$

C

$Q_1 = Q_2 + Q_3$ and $V = V_1 + V_2$

D

$Q_3 = Q_2$ and $V_2 = V_3$

Solution

as $\mathrm{C}_{2} \| \mathrm{C}_{3} \Rightarrow \mathrm{C}_{2}+\mathrm{C}_{3}$

so charge on $\mathrm{C}_{1}=$ charge on $\left(\mathrm{C}_{2}+\mathrm{C}_{3}\right)$

$\Rightarrow \mathrm{Q}_{1}=\mathrm{Q}_{2}+\mathrm{Q}_{3}$

and $\mathrm{V}_{2}=\mathrm{V}_{3}$

so $\mathrm{V}_{1}+\mathrm{V}_{1}+\mathrm{V}_{2}$ or $\quad \mathrm{V}=\mathrm{V}_{1}+\mathrm{V}_{3}$

Standard 12

Physics

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