Two identical spheres, each with a charge of +5μC, are placed 1 meter apart. Wha

Practice Questions

Q1
Two identical spheres, each with a charge of +5μC, are placed 1 meter apart. What is the potential energy of the system?
  1. 0.225 J
  2. 0.45 J
  3. 0.675 J
  4. 0.9 J

Questions & Step-by-Step Solutions

Two identical spheres, each with a charge of +5μC, are placed 1 meter apart. What is the potential energy of the system?
  • Step 1: Identify the charges of the spheres. Each sphere has a charge of +5μC (microcoulombs).
  • Step 2: Convert the charge from microcoulombs to coulombs. +5μC = 5 × 10^-6 C.
  • Step 3: Identify the distance between the spheres. The distance (r) is 1 meter.
  • Step 4: Use the formula for potential energy (U) between two point charges: U = k * q1 * q2 / r.
  • Step 5: Identify the constant k, which is Coulomb's constant: k = 9 × 10^9 N m²/C².
  • Step 6: Substitute the values into the formula: U = (9 × 10^9 N m²/C²) * (5 × 10^-6 C) * (5 × 10^-6 C) / 1 m.
  • Step 7: Calculate the potential energy: U = (9 × 10^9) * (25 × 10^-12) = 0.225 J.
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