In the circuit shown below- the switch S is connected to position P for a long time so that the charge on the capacitor becomes q1 - C- Then S is switched to position Q- After the long time- the charge on the capacitor is q2 - C- The magnitude of q1 in - C is

At steady state at steady state current passing through capacitor is 0 then current in circuit I = 2 13 I = 13 A Potential at point A = V_A Potential at point ...

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Byju's Answer

Standard XII

Physics

Kirchhoff's Junction Law

In the circui...

Question

In the circuit shown below, the switch $S$ is connected to position $P$ for a long time so that the charge on the capacitor becomes $q_{1} μ C$ . Then $S$ is switched to position $Q$ . After the long time, the charge on the capacitor is $q_{2} μ C .$

The magnitude of $q_{1}$ (in $μ C$ ) is

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Solution

At steady state

at steady state current passing through capacitor is $0$ then current in circuit $I = \frac{2 - 1}{3}$
$I = \frac{1}{3} A$
Potential at point $A = V_{A}$
Potential at point $B = V_{B}$
Applying KVL in loop $1$ , we have
$V_{A} - 1 (\frac{1}{3}) - 1 = V_{B}$
$V_{A} - V_{B} = 1 + \frac{1}{3} = \frac{4}{3} V$
Charge on capacitor, $q_{1} = C (V_{A} - V_{B})$
$q_{1} = X = 1 \times \frac{4}{3} μ C$
$q_{1} = 1.33 μ C$

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In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor becomes q1 μC. Then S is switched to position Q. After the long time, the charge on the capacitor is q2 μC. The magnitude of q1 (in μC) is

At steady state at steady state current passing through capacitor is 0 then current in circuit I=2−13 I=13 A Potential at point A=VA Potential at point B=VB Applying KVL in loop 1, we have VA−1(13)−1=VB VA−VB=1+13=43V Charge on capacitor, q1=C(VA−VB) q1=X=1×43μC q1=1.33 μC

In the circuit shown below, the switch $S$ is connected to position $P$ for a long time so that the charge on the capacitor becomes $q_{1} μ C$ . Then $S$ is switched to position $Q$ . After the long time, the charge on the capacitor is $q_{2} μ C .$

The magnitude of $q_{1}$ (in $μ C$ ) is