Answer:
The work done (W) in moving a charge (q) through a distance (d) in the direction of an electric field (E) is given by the formula:
W = qEd
where E is the magnitude of the electric field.
In this case, the charge q = 50 µC = 50 × 10^-6 C, the distance d = 50 cm = 0.5 m, and the electric field E = 50 kV/m = 50,000 V/m.
Substituting these values into the formula, we get:
W = (50 × 10^-6 C) × (50,000 V/m) × (0.5 m)
W = 1.25 mJ
Therefore, the work done in moving a 50 µC electric charge through a distance of 50 cm in the direction of a uniform electric field of 50 kV/m is 1.25 mJ.
