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What is the potential difference between two points A and B in an electric field

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Question: What is the potential difference between two points A and B in an electric field if the work done in moving a charge of 5μC from A to B is 10mJ?

Options:

  1. 2V
  2. 5V
  3. 10V
  4. 20V

Correct Answer: 5V

Solution: 

Potential difference V = W/Q = 10mJ / 5μC = 10 × 10^-3 J / 5 × 10^-6 C = 2V.

What is the potential difference between two points A and B in an electric field

Practice Questions

Q1
What is the potential difference between two points A and B in an electric field if the work done in moving a charge of 5μC from A to B is 10mJ?
  1. 2V
  2. 5V
  3. 10V
  4. 20V

Questions & Step-by-Step Solutions

What is the potential difference between two points A and B in an electric field if the work done in moving a charge of 5μC from A to B is 10mJ?
  • Step 1: Identify the formula for potential difference (V), which is V = W/Q, where W is the work done and Q is the charge.
  • Step 2: Note the values given in the question: Work done (W) is 10mJ and charge (Q) is 5μC.
  • Step 3: Convert the units to standard SI units: 10mJ = 10 × 10^-3 J and 5μC = 5 × 10^-6 C.
  • Step 4: Substitute the values into the formula: V = (10 × 10^-3 J) / (5 × 10^-6 C).
  • Step 5: Perform the division: V = 2V.
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