Step 1: Apply the potential energy formula
The potential energy \( U \) for a charge \( q \) in an electric field is calculated using:
\[
U = qV
\]
where:
- \( q \) represents the charge,
- \( V \) represents the electric potential at the location.
Step 2: Input provided values
Provided data:
- \( q = 5 \, \mu\text{C} = 5 \times 10^{-6} \, \text{C} \)
- \( V = 100 \, \text{V} \)
Insert these values into the formula:
\[
U = 5 \times 10^{-6} \times 100 = 5 \times 10^{-4} \, \text{J} = 1.0 \, \text{mJ}
\]
Answer: The potential energy of the charge is \( 1.0 \, \text{mJ} \). This corresponds to option (2).