Two charges are located on the x axis: q₁ = +7.3 μC at x₁ = +3.1 cm, and q2 = +7.3 µC at x2 = -3.1 cm. Two other charges are located on they axis: 93 +3.1 μC at y3 = +5.4 cm, and 94 = -7.8 μC at y4 = +6.0 cm. Find (a) the magnitude and (b) the direction of the net electric field at the origin. +) 1 i --+x

A point charge 100 pC is located at (4,1, –3) while the x-axis carries charge 2 nC/m. If the plane z = 3 also carries charge 5 nC/m², find E at (1,1,1). E = -0.0216ax + 18ay – 264.7az V/m

Two metal spheres, each of radius 4.2 cm, have a center-to-center separation of 1.9 m. Sphere 1 has a charge of + 1.5 x 10° C; sphere 2 has a charge of - 3.4 x 108 C. Assume that the separation is large enough for us to assume that the charge on each sphere is uniformly distributed (the spheres do not affect each other). With V= 0 at infinity, calculate in volts (a) the potential at the point halfway between their centers and the potential on the surface of (b) sphere 1 and (c) sphere 2. (a) Number i Units (b) Number i Units (c) Number i Units

An aluminum nail has an excess charge of +6.4 µC. How many electrons must be added to the nail to make it electrically neutral? 5.0 × 10-14 4.0 × 101⁹ 3.2 x 1016 4.0 × 1013 O 3.2 x 106