Explanation:
Given that,
Electric field = 6500 N/C
Charge
Distance = 6.00 cm
(a). When a charge is moved in the positive x direction
We need to calculate the electric potential energy
Using formula of potential energy
Put the value into the formula
The change in electric potential energy is .
(b). When a charge is moved in the negative x direction
We need to calculate the electric potential energy
Using formula of potential energy
Put the value into the formula
The change in electric potential energy is .
(c). When a charge is moved in the positive y direction
We need to calculate the electric potential energy
Using formula of potential energy
Because the electric field direction is perpendicular to the movement.
So, The change in electric potential energy is zero.
Hence, This is the required solution.