Two small identical conducting spheres are placed with their centers 0.30 m apart. One is given a charge of 12 x 10–9 C, the other a charge of –18 x 10–9 C. (a) Find the electrostatic force exerted on one sphere by the other. (b) The spheres are connected by a conducting wire. Find the electrostatic force between the two after equilibrium is reached.

Two tiny conducting spheres are identical and carry charges of -19.5 μC and +41.5 μC. They are separated by a distance of 3.51 cm. (a) What is the magnitude of the force that each sphere experiences? (b) The spheres are brought into contact and then separated to a distance of 3.51 cm. Determine the magnitude of the force that each sphere now experiences. (a) Number i 5940000000000000 Units N (b) Number i 8810000000000 Units N

(2) Two charges of +3 µC and +12 µC are fixed 1 m apart in space far away from any other objects. Let the +3 μC charge to be to the left of the +12 µC charge. (a) Draw a sketch of the two charges. (b) Find the magnitude of the force in Newtons on the +3 µC charge due to the other charge. (c) Draw a free-body diagram of the force acting on the +12 µC charge. (d) What is the electric field due to the +12 µC charge at the point in space where the +3 µC charge is located.

Two protons are separated by a distance of 0.366 m. Given the proton charge of 1.60 x 10-19 c, determine the magnitude of the electric force that one proton exerts on the other.