Two capacitors of 0-5 - F and 1 - F are connected in parallel across a battery- If the charge on 0-5 - F is 50 - C- the charge on the other capacitor is -

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Parallel and Series Combination of Capacitors

Two capacitor...

Question

Two capacitors of $0.5 μ F$ and $1 μ F$ are connected in parallel across a battery. If the charge on $0.5 μ F$ is $50 μ C$ , the charge on the other capacitor is :

100 μ C

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50 μ C

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25 μ C

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Zero

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Solution

The correct option is A $100 μ C$
V accross AB is constant
$Q_{1} = C_{1} V_{1} f o r C = 0.5 μ F$
$Q_{2} = C_{2} V_{2} f o r C = 1 μ F$
$Q_{1} = 50 μ C; C_{1} = 0.5 μ F \Rightarrow V_{1} = 100. V$
$V_{1} = V_{2} = 100 V$
$Q_{2} = 1 μ F \times 100 V$
$Q_{2} = 100 μ C$
$Q = 100 μ C$

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Two capacitors of 0.5μF and 1μF are connected in parallel across a battery. If the charge on 0.5μF is 50μC, the charge on the other capacitor is :

The correct option is A 100μCV accross AB is constantQ1=C1 V1 for C=0.5μFQ2=C2 V2 for C=1μFQ1=50μC ; C1=0.5μF⇒V1=100.VV1=V2=100VQ2=1μF×100VQ2=100μCQ=100μC

Two capacitors of $0.5 μ F$ and $1 μ F$ are connected in parallel across a battery. If the charge on $0.5 μ F$ is $50 μ C$ , the charge on the other capacitor is :

The correct option is A $100 μ C$
V accross AB is constant
$Q_{1} = C_{1} V_{1} f o r C = 0.5 μ F$
$Q_{2} = C_{2} V_{2} f o r C = 1 μ F$
$Q_{1} = 50 μ C; C_{1} = 0.5 μ F \Rightarrow V_{1} = 100. V$
$V_{1} = V_{2} = 100 V$
$Q_{2} = 1 μ F \times 100 V$
$Q_{2} = 100 μ C$
$Q = 100 μ C$