EXERCISE 1:
Let there be two point charges of q1 = - 10 nCy and q2 = 10 nC that are located on the x-axis, q1 is at the origin
of coordinates and q2 is at x = 2 m. Determine:
a) Represent the electric field and the potential as a function of distance in two distinct graphs
and determine if there will be any region of space in which a third charge would remain in
equilibrium.
b) The electric field generated by the charges at the point (0, 4) m.
c) Calculate the direction and the magnitude of the force with which a charge q3 = 2 nC located
at the point (0, 4) m will be attracted or repelled. Express the result using scientific notation
and prefixes.
d) If that force remains constant, calculate the distance that charge q3 will travel when
released, after 2 seconds have passed. Data: m = 2 \times 10^{-3} g
e) The potential generated by the three charges at the point (6, 0) m, with the origin of potential
being infinity.
f) Do the set of charges q1 and q2 represent a dipole? If so, calculate its dipole moment.
g) Calculate the total energy of the system.
