Question

Electric potential due to an electric dipole at any.Point on its axis mention one contrasting feature of electric potential of a dipole at a point as compared to that due to a single charge

Answer 1

Explanation ⇒ Electric potential at an point is defined as the amount of work done in bringing an unit positive charge from infinity to an particular point.

Now, Electric Potential for an point charge = kQ₁/r,

where r is the distance of the point from the charge Q.

Now, Electric potential of an dipole = kpCosθ/(r² - a²Cos²θ),

Now, r² is very much greater than a²Cos²θ.

Thus, Electric potential due to an dipole = kpCosθ/r²,

where r is the distance of the point from the centre of dipole, p is the dipole moment, and θ is the angle between distance and direction of dipole moment.

Now, You can easily figure out the difference between them if you want to find, they are,

1. Electric potential at an point is inversely proportional to r, and Electric potential due to an dipole is inversely proportional to r².

2. Electric potential at an point is directly proportional to Q, and Electric potential due to an dipole is directly proportional to p.

3. Graph of both with distance is drawn in figure. This is also the difference between them.

Hope it helps.

Answer 2

Deduce an expression for the electric potential due to an electric dipole at any point on its axis. Mention one contrasting feature of electric potential of a dipole at a point as compared to that due to single charge. Consider, two charges q and -q seperated by distance 2a such that, it's total charge is 0. ❤️