Electrostatics and Coulomb's Law

Electrostatics

Coulomb's Law

  • Coulomb's law describes the electrostatic force between two point charges.
  • The magnitude of the electrostatic force is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them.
  • Mathematically, F<em>eq</em>1q2r2F<em>e \propto \frac{q</em>1 q_2}{r^2}, where:
    • FeF_e is the electrostatic force.
    • q<em>1q<em>1 and q</em>2q</em>2 are the magnitudes of the two point charges.
    • rr is the distance between the charges.
  • The equation for Coulomb's law is: F=Kq<em>1q</em>2r2F = K \frac{q<em>1 q</em>2}{r^2}
    • KK is the Coulomb's constant, where K=14πϵ0K = \frac{1}{4 \pi \epsilon_0}
    • ϵ<em>0\epsilon<em>0 is the permittivity of free space, and ϵ</em>0=8.85×1012C2/Nm2\epsilon</em>0 = 8.85 \times 10^{-12} C^2/N \cdot m^2
    • K=9.0×109Nm2/C2K = 9.0 \times 10^9 N \cdot m^2/C^2