Understanding the Concepts

* Electric Potential: The electric potential at a point is the amount of potential energy per unit charge. It's measured in volts (V).

* Work and Potential Difference: The work done by an electric field in moving a charge between two points is equal to the charge times the potential difference between those points.

Calculations

1. Convert the charge to Coulombs:

* 1 microCoulomb (µC) = 1 x 10^-6 Coulombs (C)

* -7.9 µC = -7.9 x 10^-6 C

2. Apply the work formula:

* Work (W) = Charge (Q) * Potential Difference (ΔV)

* W = (-7.9 x 10^-6 C) * (50 V)

* W = -3.95 x 10^-4 Joules (J)

Result

The electric field does -3.95 x 10^-4 Joules of work in moving the charge. The negative sign indicates that the electric field does work against the direction of the charge's motion (since the charge is negative and moving to a higher potential).