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A charge of +5 µC is placed in an electric field of 300 N/C. What is the work do

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Question: A charge of +5 µC is placed in an electric field of 300 N/C. What is the work done in moving the charge 0.2 m in the direction of the field? (2019)

Options:

  1. 30 J
  2. 12 J
  3. 6 J
  4. 3 J

Correct Answer: 6 J

Exam Year: 2019

Solution: 

Work done W = F * d = (E * q) * d = (300 N/C * 5 × 10^-6 C) * 0.2 m = 0.3 J.

A charge of +5 µC is placed in an electric field of 300 N/C. What is the work do

Practice Questions

Q1
A charge of +5 µC is placed in an electric field of 300 N/C. What is the work done in moving the charge 0.2 m in the direction of the field? (2019)
  1. 30 J
  2. 12 J
  3. 6 J
  4. 3 J

Questions & Step-by-Step Solutions

A charge of +5 µC is placed in an electric field of 300 N/C. What is the work done in moving the charge 0.2 m in the direction of the field? (2019)
  • Step 1: Identify the given values. We have a charge (q) of +5 µC (microcoulombs) and an electric field (E) of 300 N/C.
  • Step 2: Convert the charge from microcoulombs to coulombs. 5 µC = 5 × 10^-6 C.
  • Step 3: Understand the formula for work done (W) in an electric field. The formula is W = F * d, where F is the force and d is the distance moved.
  • Step 4: Calculate the force (F) using the formula F = E * q. Substitute the values: F = 300 N/C * 5 × 10^-6 C.
  • Step 5: Perform the multiplication: F = 300 * 5 × 10^-6 = 0.0015 N.
  • Step 6: Now, use the force to calculate the work done. Substitute F and d into the work formula: W = F * d = 0.0015 N * 0.2 m.
  • Step 7: Perform the multiplication: W = 0.0015 * 0.2 = 0.0003 J.
  • Step 8: Convert the work done to a more readable format if necessary. 0.0003 J can also be expressed as 0.3 mJ (millijoules).
  • Electric Work Calculation – The work done on a charge in an electric field is calculated using the formula W = F * d, where F is the force acting on the charge, derived from the electric field (E) and the charge (q).
  • Understanding Electric Fields – An electric field is a region around a charged object where other charges experience a force. The strength of the field is measured in N/C.
  • Unit Conversion – Understanding microcoulombs (µC) and converting them to coulombs (C) is essential for accurate calculations.
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