The charge on 3-F capacitor shown in the figure is

Since all the capacitors are connected in series-x2234- equivalent capacitance is1Ceq-12-13-16-1-x2234-Ceq-1-x3BC-FCharge on each capacitor is sameq-CeqV-1-xD7-10-10-x3BC-C -x2235-V-10V-

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Standard XII

Physics

Capacitance of a Random Conductor

Question

The charge on 3 $μ F$ capacitor shown in the figure is

μ C

μ C

μ C

μ C

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Solution

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Since all the capacitors are connected in series,
$∴$ equivalent capacitance is
$\frac{1}{C_{e q}} = \frac{1}{2} + \frac{1}{3} + \frac{1}{6} = 1 ∴ C_{e q} = 1 μ F$
Charge on each capacitor is same
$q = C_{e q} V = 1 \times 10 = 10 μ C$ ( $∵ V = 10 V$ )

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The charge on 3μF capacitor shown in the figure is

Since all the capacitors are connected in series,∴ equivalent capacitance is1Ceq=12+13+16=1∴Ceq=1μFCharge on each capacitor is sameq=CeqV=1×10=10μC (∵V=10V)

The charge on 3 $μ F$ capacitor shown in the figure is

Since all the capacitors are connected in series,
$∴$ equivalent capacitance is
$\frac{1}{C_{e q}} = \frac{1}{2} + \frac{1}{3} + \frac{1}{6} = 1 ∴ C_{e q} = 1 μ F$
Charge on each capacitor is same
$q = C_{e q} V = 1 \times 10 = 10 μ C$ ( $∵ V = 10 V$ )