Four capacitors of capacitance 10, μ, F and a battery of 200,V are arranged as shown. Ho

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1. Electric Charges and Fields

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Four capacitors of capacitance $10\, \mu\, F$ and a battery of $200\,V$ are arranged as shown. How much charge will flow through $AB$ after the switch $S$ is closed?

A

$4.5 \times 10^{-3}\,C$

B

$6 \times 10^{-3}\,C$

C

$1.5 \times 10^{-3}\,C$

D

$3 \times 10^{-3}\,C$

Solution

When switch is open $=C_{\mathrm{eq} .}=\frac{15}{2}\, \mu \mathrm{F}$

$\mathrm{q}_{\mathrm{i}}=\mathrm{C}_{\mathrm{eq}} \mathrm{V}=\frac{15}{2} \times 200=1500 \,\mu \mathrm{C}$

When switch is closed $\mathrm{C}_{\mathrm{eq}}=30\, \mu \mathrm{F}$

$\mathrm{q}_{\mathrm{f}}=30 \times 200=6000\, \mu \mathrm{C}$

Charge flow through

$\mathrm{AB}=\mathrm{q}_{\mathrm{f}}-\mathrm{q}_{\mathrm{i}}=4500\, \mu \mathrm{C}=4.5 \times 10^{-3} \mathrm{\,C}$

Standard 12

Physics

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