A charge of +10μC is placed in a uniform electric field of 500 N/C. What is the

Practice Questions

Q1
A charge of +10μC is placed in a uniform electric field of 500 N/C. What is the force acting on the charge?
  1. 0.5 N
  2. 5 N
  3. 50 N
  4. 500 N

Questions & Step-by-Step Solutions

A charge of +10μC is placed in a uniform electric field of 500 N/C. What is the force acting on the charge?
  • Step 1: Identify the charge value. The charge is +10μC (microcoulombs). Convert this to coulombs: 10μC = 10 × 10^-6 C.
  • Step 2: Identify the strength of the electric field. The electric field is given as 500 N/C (newtons per coulomb).
  • Step 3: Use the formula for force in an electric field, which is F = qE, where F is the force, q is the charge, and E is the electric field strength.
  • Step 4: Substitute the values into the formula: F = (10 × 10^-6 C) * (500 N/C).
  • Step 5: Calculate the force: F = 10 × 500 × 10^-6 = 5000 × 10^-6 = 5 N.
  • Step 6: Conclude that the force acting on the charge is 5 N.
  • Electric Force Calculation – The question tests the ability to calculate the force acting on a charge in an electric field using the formula F = qE, where F is the force, q is the charge, and E is the electric field strength.
  • Units of Measurement – Understanding the units involved (Coulombs for charge and Newtons per Coulomb for electric field) is crucial for correctly applying the formula.
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