Question

Which of the following correctly represents the variation of electric potential (V) of a charged spherical conductor of radius (R) with radial distance (r) from the center?

• A.
• B.
• C.
• D.

Answer 1

Answer: (D)

Answer 2

For a charged spherical conductor, the variation of electric potential (V) with radial distance (r) from the center can be represented by the equation:
V = $\frac {kQ}{r}$​
This equation indicates an inverse proportionality between the electric potential and the radial distance. As the radial distance (r) increases, the electric potential (V) decreases.
So, the correct representation of the variation of electric potential (V) of a charged spherical conductor with radial distance (r) from the center is:
V ∝ $\frac 1r$
This relationship represents option (D) "Electric potential (V) is inversely proportional to the radial distance (r)" from the given choices.

So, the correct option is (D).