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

The magnitude of $q_{1}$ is _______.

Question

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

The magnitude of

q_{1}

is _______.

Aicharya · Accepted Answer

When S is connected to P , In steady state, i = 2 &#8722; 1 2 + 1 &#8658; i = 1 3 &#160; A Now, Charge on capacitor, q = C V &#8658; q = 1 &#956;F 4 3 &#160; V &#8658; q = 4 3 &#956;C &#8658; q = 1.33 &#160; &#956;C

In the circuit shown below, the switch $\mathrm{S}$ is connected to position $\mathrm{P}$ for a long time so…

Solution