An infinite number of charges, each equal to q are placed along X-axis at x=1,x=2,x=4, x=8,………… and so on. Find electric field at the point `x ne 0` due to this set of charges.

Three charges, each equal to q, are placed at the three corners of a square of side a. Find the electric field at the fourth corner of the square.

Find electric field due to solid sphere of charge q at a point outside.

Three infinitely long charge sheets are placed as shown in the figure Find the electric field at the point P.

Point charges + 4q, -q and +4 q are kept on the X-axis at points x = 0, x = a and x = 2 a respectively

A crcular loop of charge is placed in YZ-plane with its centre at the origin. Find expression for electric field at a point on X-axis.

A proton is placed in a uniform electric field along the positive X-axis. In which direction will it tend to move?

In figure, two positive charges q_2 and q_3 fixed along the y-axis, exert a net electric force in the + x direction on a charge q_1 fixed along the x-axis. If a positive charge Q is added at (x,0), the force of q_1 .

The potential at a point at distance x from some charge placed on X-axis is given by V (x) = (20)/(x^2-4) (in volt) The electric field at a distane x = 4mum is given by

Three point charges q, 2q and 8q are to be placed on a . 9cm long straight line. Find the . positions where the charges shouldbe placed such that the potential energy . of this sysrem is minimum. In this situation, what is the . electric field at the charge q due to the other two charges?

A thin circular ring of radius r is charged uniformaly so that its linear charge density becomes lambda . Derive an expression for the electric for the electric field at a point P at a distance x from it along the axis of the ring. Hence, prove that at large distances (x>>r), the ring behaves as a point charge.