A capacitor of capacitance `C` has potential difference `E/2` and another capacitor of capacitance C is uncharged. They are joined to form a closed circuit as shown in the figure.

a. Find the current in the circuit at t =0.
b. Find the charge on C as a function of time.

Find the charge on the capacitor C = 1muF in the circuit shown in the figure.

A capacitor of capacitance C_(1) is charged to a potential difference V and then connected with an uncharged capacitor of capacitance C_(2) a resistance R. The switch is closed at t = 0. Choose the correct option(s):

Three uncharged capacitors of capacitance C_1,C_2 and C_3 are connected to one another as shown in figure. The potential at O will be

A capacitor of capacitance C is given a charge Q. At t=0 ,it is connected to an uncharged of equal capacitance through a resistance R. Find the charge on the second capacitor as a function of time.

A capacitor of capacitance C_0 is charged to potential V_0 . Now it is connected to another uncharged capacitor of capacitance C_0/2 . Calculate the heat loss in this process.

Two parallel plate capacitor of capacitance 2C and C are charged to the potentials 2 V and V respectively and are connected in a circuit along with a resistance R as shown in the diagram. The switch k is closed at t= 0 . Find the current in the circuit as a function of time and total heat produced in the circuit

A capacitor of capacitance C, which is initially uncharged , is connected with a battery of emf epsilon . Find the heat dissipated in the circuit during the process of charging .

In the circuit shown in figure find a. the equivalent capacitance and b. the charge stored in each capacitor.