Home
Class 12
PHYSICS
Obtain an expression for electric potent...

Obtain an expression for electric potential .V due to a point charge .Q at a distance r.

Text Solution

AI Generated Solution

To derive the expression for electric potential \( V \) due to a point charge \( Q \) at a distance \( r \), we will follow these steps: ### Step 1: Understand the Electric Field due to a Point Charge The electric field \( E \) due to a point charge \( Q \) at a distance \( r \) is given by the formula: \[ E = \frac{kQ}{r^2} \] where \( k \) is the Coulomb's constant, which can also be expressed as: ...
Promotional Banner

Similar Questions

Explore conceptually related problems

A charge q is uniformly distributed along an insulating straight wire of length 2l as shown in Fig. Find an expression for the electric potential at a point located a distance d from the distribution along its perpendicular bisector.

(a) Obtain the expression for the potential due to a point charge. (b) Use the above expression to show that the potential, due to an electric dipole (length 2a), varies as the inverse square' of the distance r of the 'field point' from the centre of the dipole for rgta .

Using Gauss. theorem, obtain an expression for intensity of electric field .E. at a point which is at a distance r ( r gt R) from the centre Cof a thin spherical shell (of radius R) carrying charge.Q.

State the Biot-Savart law which gives the magnetic field B at a distance r from a current element. Hence obtain an expression for the magnetic field B_(Q) due to a point charge Q moving with constant velocity v (assumed non-relativistic). Point charge Q and Q' are constrained to move along the x-and y-axes, respectively, with the same uniform speed v. AT time t = 0 both charges are at the origin. At time t calculate the Lorentz force F on Q' due to the magnetic field of Q

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

Derive an expression for electric field intensity at a point due to point charge.

A charge is distributed uniformly over a ring of radius 'a'. Obtain an expression for the electric intensity E at a point on the axis of the ring . Hence show that for points at large distances from the ring it behaves like a point charge .

A charge Q is placed at the origin. The electric potential due to this charge at a given point in space is V . The work done by an external force in bringing another charge q from infinity up to the point is

A point charge q'q is placed at distance 'a' from the centre of an uncharged thin spherical conducting shell of radius R=2a. A point 'P' is located at a distance 4a from the centre of the conducting shell as shown. The electric potential due to induced charge on the inner surface of the conducting shell at point 'P' is

Using Gauss's law obtain the expression for the electric field due to uniformly charged thin spherical shell of radius R at a point outside the shell. Draw a graph showing the variation of electric tield with r, for r gt R and r lt R.