A capacitor of capacity C_1 is charged to a p | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The initial energy stored in the capacitor $C_1$ is given by:$U_1 = \frac{1}{2} C_1 V_0^2$When the switch $S$ is closed,the charge $Q = C_1 V_0$ i

Vedclass · Accepted Answer

$\frac{C_1 + C_2}{C_1}$

Vedclass · Answer

(A) The initial energy stored in the capacitor $C_1$ is given by:$U_1 = \frac{1}{2} C_1 V_0^2$When the switch $S$ is closed,the charge $Q = C_1 V_0$ is redistributed between the two capacitors until they reach a common potential $V$. By the principle of conservation of charge:$C_1 V_0 = (C_1 + C_2) V$$V = \frac{C_1 V_0}{C_1 + C_2}$The final energy stored in the system is:$U_2 = \frac{1}{2} (C_1 + C_2) V^2 = \frac{1}{2} (C_1 + C_2) \left( \frac{C_1 V_0}{C_1 + C_2} \right)^2 = \frac{1}{2} \frac{C_1^2 V_0^2}{C_1 + C_2}$The ratio of the energy before and after the connection is:$\frac{U_1}{U_2} = \frac{\frac{1}{2} C_1 V_0^2}{\frac{1}{2} \frac{C_1^2 V_0^2}{C_1 + C_2}} = \frac{C_1 (C_1 + C_2)}{C_1^2} = \frac{C_1 + C_2}{C_1}$

$A$ capacitor of capacity $C_1$ is charged to a potential of $V_0$. After disconnecting it from the battery,it is connected to a neutral capacitor of capacity $C_2$ as shown in the adjoining figure. The ratio of the energy of the system before and after the connection of switch $S$ will be

Similar Questions

$A$ $20\,\mu F$ capacitor is charged to a potential of $500\,V$ and then connected in parallel to a $10\,\mu F$ capacitor charged to $200\,V$. What is the common potential in $V$?

Two capacitors $C_1$ and $C_2 = 2C_1$ are connected in a circuit with a switch between them as shown in the figure. Initially,the switch is open and $C_1$ holds charge $Q$. The switch is closed. At steady state,the charge on the capacitors will be:

$A$ condenser of capacity $C_1$ is charged to a potential $V_0$. The electrostatic energy stored in it is $U_0$. It is connected to another uncharged condenser of capacity $C_2$ in parallel. The energy dissipated in the process is

Consider the situation shown in the figure. Capacitor $A$ has a charge $q$ on it,whereas $B$ is uncharged. The charge appearing on capacitor $B$ a long time after the switch $S$ is closed is

Two capacitors $C_1$ and $C_2$ are connected in parallel. If a charge $Q$ is given to the combination,the charge gets shared. Then the ratio of charge on $C_1$ to charge on $C_2$ is . . . . . . .

Vedclass Test Series

Exam Paper Generator

Online Exam Module