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

b. At twice the distance, the electric potential is V/2

Step-by-step explanation:

Electric potential

Is the amount of work needed to move a unit charge from a reference point (usually a point at infinity) without producing acceleration.

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

`\displaystyle V=K(q)/(r)`

Where K is the Coulomb's constant. If we know the electric potential at a certain distance is V, if the distance is changed to 2r, then the new potential is

`\displaystyle V'=K(q)/(2r)=(1)/(2)K(q)/(r)=(1)/(2)V`

It means that the electric potential is half the previous value. Correct option: b.