Exercise - 1

When $30 \mathrm{\mu C}$ charge is given to an isolated conductor of capacitance $5 \mathrm{\mu F}$. Find out the following 

$\left(\mathrm{i}\right)$Potential of the conductor

$\left(\mathrm{ii}\right)$ Energy stored in the electric field of the conductor

$\left(\mathrm{iii}\right)$ If this conductor is now connected to another isolated conductor by a conducting wire (at a very large distance) of total charge $50 \mathrm{\mu C}$ and capacity $10 \mathrm{\mu F}$ then

 $\left(\mathrm{a}\right)$ Find out the common potential of both the conductors.

 $\left(\mathrm{b}\right)$ Find out the heat dissipated during the process of charge distribution.

A cylinder on whose surfaces there is a vertical electric field of varying magnitude as shown. The electric field is uniform on the top surface as well as on the bottom surface therefore, this cylinder encloses

A positively charged body $A$ has been brought near a neutral brass sphere $B$ mounted on a glass stand as shown in the figure. The potential of $B$ will be: 

The amount of work done by electric field in joules in carrying a charge $+q$ along the closed path PQRSP between the oppositely charged metal plates is  (where, $E$ is electric field between the plates) 

Figure shows a closed surface which intersects a conducting sphere. If a positive charge is placed at the point P, the flux of the electric field through the closed surface: 

An ellipsoidal cavity is carved within a perfect conductor. A positive charge $q$ is placed at the centre of the cavity. The points $A \text{and} B$ are on the cavity surface as shown in the figure. 

A battery sets up an electric field of $25 \mathrm{N} {\mathrm{C}}^{-1}$ inside a uniform wire of length $2 \mathrm{m}$ and resistance of $5 \mathrm{\Omega }$. Find the current through the wire.

The figure shows the current $I$ in a single-loop circuit with a battery $B$ and resistance $R$ (and wires of negligible resistance). Then find the order of following at the point $a\mathit{,}\mathit{ }b$ and $c$.

(a) The magnitude of the current,

(b) The electric potential, and

(c) The electric potential energy of the charge carriers (electron), the greatest first.