Shows that how the electrostatic potential varies with r for a point charge.

Define electrostatic potential.

Is electrostatic potential vector or scalar?

In the previous question assume that the electrostatic potential is zero at an infinite distance from the spherical shell. The electrostatic potential at a distance R (a lt R lt b) from the centre of the shell is where (K=1/(4pi epsilon_(0)))

Draw a graph for variation of potential V with distance r for a point charge Q.

Derive an expression for the electric potential in a electric field of positive point charge at distance r.

A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point P a distance R/2 from the centre of the shell is

The electrostatic potential on the surface of a charged conducting sphere is 100V. Two statements arc made in this regard : S_(1) : At any point inside the sphere, electric intensity is zero. S_(2) : At any point inside the sphere, the ' electrostatic potential is 100V . Which of the following is a correct statement ?

A charge +q is fixed at each of the points x=x_0 , x=3x_0 , x=5x_0 ,………… x=oo on the x axis, and a charge -q is fixed at each of the points x=2x_0 , x=4x_0 , x=6x_0 , ………… x=oo . Here x_0 is a positive constant. Take the electric potential at a point due to a charge Q at a distance r from it to be Q//(4piepsilon_0r) .Then, the potential at the origin due to the above system of

Two charges –q and +q are located at points (0, 0, –a) and (0, 0, a), respectively. (a) What is the electrostatic potential at the points (0, 0, z) and (x, y, 0) ? (b) Obtain the dependence of potential on the distance r of a point from the origin when r//a gt gt 1 . (c) How much work is done in moving a small test charge from the point (5,0,0) to (–7,0,0) along the x-axis? Does the answer change if the path of the test charge between the same points is not along the x-axis?

Show that electrostatic potential ls constant throughout the volume of the conductor and has the same value (as inside) on its surface.