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If the electric field at a point is 200 N/C directed towards the positive x-axis

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Question: If the electric field at a point is 200 N/C directed towards the positive x-axis, what is the potential difference between two points A and B separated by 3m along the x-axis?

Options:

  1. 600 V
  2. 400 V
  3. 200 V
  4. 0 V

Correct Answer: 400 V

Solution: 

V = -E * d = -200 N/C * 3m = -600 V. The potential at B is 600 V lower than at A.

If the electric field at a point is 200 N/C directed towards the positive x-axis

Practice Questions

Q1
If the electric field at a point is 200 N/C directed towards the positive x-axis, what is the potential difference between two points A and B separated by 3m along the x-axis?
  1. 600 V
  2. 400 V
  3. 200 V
  4. 0 V

Questions & Step-by-Step Solutions

If the electric field at a point is 200 N/C directed towards the positive x-axis, what is the potential difference between two points A and B separated by 3m along the x-axis?
  • Step 1: Understand that the electric field (E) is given as 200 N/C and it is directed towards the positive x-axis.
  • Step 2: Identify the distance (d) between points A and B, which is given as 3 meters along the x-axis.
  • Step 3: Use the formula for potential difference (V) which is V = -E * d.
  • Step 4: Substitute the values into the formula: V = -200 N/C * 3m.
  • Step 5: Calculate the result: V = -600 V.
  • Step 6: Interpret the result: The potential at point B is 600 V lower than at point A.
  • Electric Field and Potential Difference – The relationship between electric field (E) and potential difference (V) is given by V = -E * d, where d is the distance moved in the direction of the field.
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