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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Field and Potential

A 1.0 C charge is positioned at the top of a college building, while another equal charge is located at the top of a house. Assuming the separation between the two charges to be 2.0 km , determine the force they exert on each other.

Options

  1. A4.50 10^6 N
  2. B2.25 10^3 N
  3. C2.25 10^9 N
  4. D4.50 10^3 N

Correct answer

B. 2.25 10^3 N

Step-by-step solution

According to Coulomb's law, the electrostatic force between two point charges is given by F = 1 4 ₀ q₁ q₂ r^2 Given: q₁ = 1.0 C q₂ = 1.0 C r = 2.0 km = 2.0 10^3 m 1 4 ₀ = 9 10^9 N m ^2/ C ^2 Substituting the values into the formula: F = 9 10^9 1.0 1.0 (2.0 10^3)^2 F = 9 10^9 4.0 10^6 F = 2.25 10^3 N

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