A charge of 5 μC is placed in an electric field of 2000 N/C. What is the electri

Practice Questions

Q1
A charge of 5 μC is placed in an electric field of 2000 N/C. What is the electric potential energy of the charge?
  1. 10 mJ
  2. 1 mJ
  3. 0.5 mJ
  4. 2 mJ

Questions & Step-by-Step Solutions

A charge of 5 μC is placed in an electric field of 2000 N/C. What is the electric potential energy of the charge?
  • Step 1: Understand the formula for electric potential energy (U), which is U = Charge × Electric Field.
  • Step 2: Identify the charge value, which is given as 5 μC (microcoulombs). Convert this to coulombs: 5 μC = 5 × 10^-6 C.
  • Step 3: Identify the electric field value, which is given as 2000 N/C.
  • Step 4: Plug the values into the formula: U = (5 × 10^-6 C) × (2000 N/C).
  • Step 5: Calculate the result: U = 5 × 2000 × 10^-6 = 10000 × 10^-6 = 0.01 J.
  • Step 6: Convert joules to millijoules: 0.01 J = 10 mJ.
  • Electric Potential Energy – Electric potential energy is the energy a charge possesses due to its position in an electric field, calculated as the product of the charge and the electric field strength.
  • Units of Measurement – Understanding the units involved, such as microcoulombs (μC) for charge and newtons per coulomb (N/C) for electric field strength, is crucial for accurate calculations.
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