The electric potential field V at a point, due to two charged particles, is given by
where q1 and q2 are the charges of the particles in coulombs (C), r1 and r2 are the distances of the charges from the point (in meters), and ,0 is the permittivity of free space, whose value is
Suppose the charges are q1 = 2 × 10-10 C and q2 = 4 × 10-10 C. Their respective locations in the xy plane are (0.3, 0) and (-0.3, 0) m. Plot the electric potential field on a three-dimensional surface plot with V plotted on the z axis over the ranges -0.25 ≤ x ≤ 0.25 and -0.25 ≤ y ≤ 0.25. Create the plot in two ways:
(a) By using the surf function
(b) By using the meshc function.