Question

A 10 $\mu\text{C}$ charge is placed in an electric field of $ 5 \times 10^3 \text{N/C} $. What is the force experienced by the charge?

• A. \( 5 \times 10^{-2} \, \text{N} \)
• B. \( 5 \times 10^{-3} \, \text{N} \)
• C. \( 5 \times 10^2 \, \text{N} \)
• D. \( 5 \times 10^4 \, \text{N} \)

Hint:

Remember: The force in an electric field depends directly on both the charge and the magnitude of the electric field.

Answer 1

The Correct Option is A

Step 1: Apply the electric force formula
The force \( F \) on a charge \( q \) in an electric field \( E \) is \( F = q E \).

Step 2: Input values
Given \( q = 10 \, \mu\text{C} = 10 \times 10^{-6} \, \text{C} \) and \( E = 5 \times 10^3 \, \text{N/C} \).

\[F = (10 \times 10^{-6}) \times (5 \times 10^3) = 5 \times 10^{-2} \, \text{N}\]

Result:
The charge experiences a force of \( 5 \times 10^{-2} \, \text{N} \). Option (1) is correct.