Step-by-step explanation:
Given:
Charge, q = 350 mC = 350 x 10^-3 C
Height, h = 2.0 m
Electric field, E = 1.0 x 10^6 N/C
Unknown:
Change in electrical potential energy, ΔU
Formula:
The change in electrical potential energy can be calculated using the formula:
ΔU = qEd
where d is the distance travelled in the direction of the field.
Solution:
The distance travelled in the direction of the field is equal to the height of the cloud, which is 2.0 m. Thus,
d = h = 2.0 m
Substituting the given values into the formula, we get:
ΔU = qEd
= (350 x 10^-3 C)(1.0 x 10^6 N/C)(2.0 m)
= 700 J
∴ change in electrical potential energy in the lightning bolt is 700 J.