Question

Consider the following configurations.

a. A test charge q is brought to a point A a distance r from the center of a sphere having net charge +Q.
b. A test charge 2 q is brought to a point B a distance 2r from the center of the sphere. Compared with the electrostatic potential at A, the electrostatic potential at B is:

i. same
ii. greator
iii. smaller

Answer 1

Answer:

ii. Same

Explanation:

Electrostatic potential V=kQq/r

When the test charge is brought to a point A at a distance r and a net charge of +Q

i.e At point A

q₁ = q

r₁= r

V=kQq/r

At the point B, When q₂ = 2q and

           r₂= 2r

V=kQ * 2q/2r

The two in the numerator and the denominator cancel to give V=kQq/r which is equal to the potential at A