Electric potential due to a point charge q at a distance r from the point is _______ (in the air).a)q/rb)q*rc)q/r2d)(-q)/rCorrect answer is option 'A'. Can you explain this answer?

Question

Answer

Explanation:

Electric potential at a point in an electric field is defined as the amount of work done per unit charge in bringing a positive test charge from infinity to that point.

The electric potential due to a point charge q at a distance r from the point is given by:

V = kq/r

where k is the Coulomb's constant and is equal to 1/4πε0, where ε0 is the permittivity of free space.

Since we are dealing with a point charge in air, we can substitute the value of k and ε0 and get:

V = q/4πε0r

Simplifying further, we get:

V = q/r

Therefore, the correct option is A, i.e., q/r.

Answer

Force on a unit point charge kept at a distance r from the charge = q/r². Therefore, work done to bring that point charge through a small distance dr =(q/(r²)) * (-dr). Therefore, the potential of that point is =

Answer

A is correct

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