Electric Field Simulation: Two Point Charges

Electric Field Simulation

Two Point Charges: q₁ = +10⁻⁸ C and q₂ = -10⁻⁸ C, 0.1 m apart

Example 1.9

Two point charges q₁ and q₂, of magnitude +10⁻⁸ C and -10⁻⁸ C respectively, are placed 0.1 m apart. Calculate the electric fields at points A, B and C.

Point A

Position: Midway between charges (0.05m from each)

E₁A = (9×10⁹ × 10⁻⁸) / (0.05)² = 3.6×10⁴ N/C →

E₂A = (9×10⁹ × 10⁻⁸) / (0.05)² = 3.6×10⁴ N/C →

E_A = E₁A + E₂A = 7.2×10⁴ N/C →

Point B

Position: 0.05m left of q₁, 0.15m right of q₂

E₁B = (9×10⁹ × 10⁻⁸) / (0.05)² = 3.6×10⁴ N/C ←

E₂B = (9×10⁹ × 10⁻⁸) / (0.15)² = 0.4×10⁴ N/C →

E_B = E₁B - E₂B = 3.2×10⁴ N/C ←

Point C

Position: 0.1m above midpoint

E₁C = E₂C = (9×10⁹ × 10⁻⁸) / (0.1)² = 0.9×10⁴ N/C

E_C = E₁C cos(π/3) + E₂C cos(π/3) = 0.9×10⁴ N/C →

How to Use This Simulation

  • Drag points A, B, or C to see how the electric field changes at different positions
  • Use the Toggle Electric Field button to show/hide field lines
  • The Reset View button returns the simulation to its initial state

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