(II) Two point charges, Q1 = -32 µC and Q2 = +45 µC, are separated by a distance of 12 cm. The electric field at the point P (see Fig. 16–57) is zero. How far from Qj is P? Q1 Q2 12 cm P -32 μC +45 µC FIGURE 16-57 Problem 32.

Three point charges Q = 5 x 10-9C (0, 5, 0), Q, = -10 × 10-9 C (0, -5, 0) and Q3 = 15 x 10-9 C (-5, 0, 0). In what position should another charge 20 x 10-9 C should be placed so that the net electric field will be zero magnitude in the origin?

Point charges of 28.0 µC and 48.0 µC are placed 0.500 m apart. (a) At what point (in m) along the line connecting them is the electric field zero?                         m (from the smaller charge) (b) What is the magnitude (in N/C) and direction of the electric field halfway between them? magnitude ? N/C Direction: towards larger or smaller charge?

A non-conducting sphere 15.0cm in diameter has a total charge of 2.25µC distributed uniformly throughout its volume. Plot the magnitude of the electric field, E, as a function of the distance, r, from the center of the sphere, from r =0cm to r =30.0cm. (The graph must be madeon computer)