Question

Calculate the work done in moving a charge of \(2\mu C\) between two points with a potential difference of \(5V\).

• A. \(10\,J\)
• B. \(10^{-5}\,J\)
• C. \(2.5\,J\)
• D. \(0.4\,J\)

Hint:

In electrostatics problems involving potential difference, always use \(W = q\Delta V\). Convert microcoulombs (\(\mu C\)) into coulombs before substitution.

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The question asks for the energy or work required to transport a specific amount of electric charge across a known potential difference.
Step 2: Key Formula or Approach:
The relationship between work (\( W \)), charge (\( q \)), and potential difference (\( \Delta V \)) is:
\[ W = q \times \Delta V \]
Step 3: Detailed Explanation:
Given values:
Charge \( q = 2 \mu C = 2 \times 10^{-6} \, C \).
Potential difference \( \Delta V = 5 \, V \).
Calculation:
\[ W = (2 \times 10^{-6} \, C) \times (5 \, V) \]
\[ W = 10 \times 10^{-6} \, J \]
\[ W = 10^{-5} \, J \]
Step 4: Final Answer:
The work done is \( 10^{-5} \, J \).