What is the work done in moving a charge of +2μC from a point A to B in a unifor

Practice Questions

Q1
What is the work done in moving a charge of +2μC from a point A to B in a uniform electric field of 500 N/C over a distance of 0.4m?
  1. 400 J
  2. 200 J
  3. 100 J
  4. 80 J

Questions & Step-by-Step Solutions

What is the work done in moving a charge of +2μC from a point A to B in a uniform electric field of 500 N/C over a distance of 0.4m?
  • Step 1: Identify the charge being moved. In this case, it is +2μC (microcoulombs). Convert this to coulombs: +2μC = 2 × 10^-6 C.
  • Step 2: Identify the strength of the electric field. Here, it is given as 500 N/C (newtons per coulomb).
  • Step 3: Identify the distance over which the charge is moved. This distance is 0.4 m (meters).
  • Step 4: Use the formula for work done in an electric field: Work done (W) = charge (q) × electric field (E) × distance (d).
  • Step 5: Substitute the values into the formula: W = (2 × 10^-6 C) × (500 N/C) × (0.4 m).
  • Step 6: Calculate the work done: W = 2 × 10^-6 × 500 × 0.4 = 0.4 J (joules).
  • Step 7: Note that the final answer is 0.4 J, not 80 J. The correct work done is 0.4 J.
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