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Two identified parallel plate capacitors $A$ and $B$ are connected to a battery of $V$ volts with the switch $S$ closed. The switch is now opened and the free space between the plates of the capacitors is filled with a dielectric of dielectric constant $K$. Find the ratio of the total electrostatic energy stored in both capacitors before and after the introduction of the dielectric.

The figure shown a network of five capacitors connected to a $100V$ supply. Calculate the total energy stored in the network.

In the figure given below, Find the

total energy stored in the network.

total energy stored in the network.

Draw a plot showing the variation of (i) electric field $(E)$ and (ii) electric potential $(V)$ with distance $r$ due to a point charge $Q$.

(a) Define electric dipole moment. Is it a scalar or a vector?

Derive the expression for the electric field of a dipole at a point on the equatorial plane of the dipole.

(b) Draw the equipotential surface due to an electric dipole. Locate the points where the potential due to the dipole is zero.

Derive the expression for the electric field of a dipole at a point on the equatorial plane of the dipole.

(b) Draw the equipotential surface due to an electric dipole. Locate the points where the potential due to the dipole is zero.

(a) Three point charges $q,−4q$ and $2q$ are placed at the vertices of an equilateral triangle $ABC$ of side $_{′}l_{′}$ as shown in the figure. Obtain the expression for the magnitude of the resultant electric force acting on the charge $q$.

(b) Find out the amount of the work done to separate the charges at infinite distance.

(b) Find out the amount of the work done to separate the charges at infinite distance.

Two point charge $q_{1}$ and $q_{2}$ are kept r distance apart in a uniform external electric field $E$. Find the amount of work done in assembling this system of charges.

In the figure given below, Find the

equivalent capacitance of the network between points A and B

Given : $C_{1}=C_{5}=4μF,C_{2}=C_{3}=C_{4}=2μF$.

equivalent capacitance of the network between points A and B

Given : $C_{1}=C_{5}=4μF,C_{2}=C_{3}=C_{4}=2μF$.

In the figure given below, Find the

maximum charge supplied by the battery, and

maximum charge supplied by the battery, and