Question

The electric potential at a certain distance from a point charge can be represented by V. What is the value of the electric potential at twice the distance from the point charge?

a.At twice the distance, the electric potential is 4V.
b at twice the distance, the electric potential is V/2.
c.At twice the distance, the electric potential is V/4.
d.At twice the distance, the electric potential is 2V.
e.At twice the distance, the electric potential remains V.

Answer 1

The electric potential at twice the distance from a point charge is V/2, as potential is inversely proportional to the distance from the charge.

Step-by-step explanation:

The electric potential V of a point charge decreases with increasing distance. Specifically, the potential V at a distance r from a point charge is inversely proportional to r, meaning V is directly related to 1/r. Therefore, if the distance from the point charge is doubled, the potential becomes V/2, because the original distance is in the denominator of the expression for potential. So, the electric potential at twice the distance from the point charge is V/2.