Objectives:
• Calculate electric force using Coulomb’s Law.
• Compare electric force with gravitational force.
• Apply the superposition principle to find the resultant
force on a charge and to find the position at which the
net charge is zero.
        Coulomb’s Law: Electric Force
                  F = k(q q )
                    e         1       2
                                  2
                         r
                                  9       2
k = Coulomb constant = 8.99x10 Nm       or
                                 C2
q1 = charge of charge 1 (C)
q2 = charge of charge 2 (C)
r = distance between charge 1 & charge 2 (m)
       Comparison of forces
Gravitational (Fg)        Electric (Fe)
 Fg = G m1m2              Fe = k q1q2
         r2                       r2
G = gravitational constant = 6.67x10-11 Nm2/kg2
   k = Coulomb’s constant = 8.99x109 Nm2/C2
          Practice Problem
1. Two charges 5 C and 15 C are
   separated by 10 cm. What is the
   electric force between them?
2. In fission, a nucleus of uranium-238,
   which contains 92 protons, divides into
   smaller spheres, each having 46
   protons and a radius of 5.9x10-15 m.
   What is the magnitude of the electric
   force pushing the two spheres apart?
           Practice Problem
3. Figure shows three
   point charges that
   lie in the x-y plane in
   a vacuum. Find the
   magnitude           and
   direction of the net
   electrostatic     force
   on q1.
           Practice Problem
4. In Bohr’s model of the hydrogen atom,
   the electron is in a circular orbit about the
   nuclear proton at a radius of 5.29x10-11
   m. Determine the speed of the electron.