Step-by-step explanation:
The change in potential energy (ΔPE) of a charge when it is moved between two positions with different electric potentials can be calculated using the formula:
ΔPE = q * ΔV
Where ΔPE is the change in potential energy, q is the charge, and ΔV is the change in electric potential.
Given:
Charge (q) = +0.18 C
Change in electric potential (ΔV) = 50 V - 20 V = 30 V
Substituting the values into the formula:
ΔPE = (+0.18 C) * (30 V)
Calculating the product:
ΔPE = 5.4 J
Therefore, the change in potential energy of the charge associated with this change in position is 5.4 Joules.