Question 720: Electrostatics & Capacitance

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
$$\mu$$C. Then S is switched to position Q. After a long time, the charge on the capacitor is q
2
$$\mu$$C.
The magnitude of q
2
is ________________.

Accepted Answer

Switch at position Q
$${V_A} - 1\,.\,{i_2} + 2 - 2{i_2} = {V_A}$$
$$3{i_2} = 2$$
$$ \Rightarrow {i_2} = {2 \over 3}A$$
Now, $${V_A} - \,{i_2} 	imes 1 = {V_B}$$
$${V_A} - {V_B} = {i_2} 	imes 1 = {2 \over 3}V$$
Potential difference across capacitor, $$\Delta V = {2 \over 3}V$$
$$	herefore$$ Charge on capacitor, $${q_2} = C\Delta V = 1 	imes {2 \over 3} = 0.67\mu C$$

Electrostatics & Capacitance

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 $\muC. Then S is switched to position Q. After a long time, the charge on the capacitor is q 2 \mu$C. The magnitude of q 2 is ________________.

Integer / Numeric Answer Type