You will need the following data to answer the following questions. (You may take the charge of each sphere to be situated at its centre.)
ε0 = 8.85 × 10⁻¹² F m⁻¹
A metal sphere of radius 20 cm carries a positive charge of +2.0 μC.
a. What is the electric field strength at a distance of 25 cm from the centre of the sphere?
b. An identical metal sphere carrying a negative charge of −1.0 μC is placed next to the first sphere. There is a gap of 10 cm between them. Calculate the electric force that each sphere exerts on the other.
Remember to calculate the centre-to-centre distance between the two spheres.
c. Determine the electric field strength midway along a line joining the centres of the spheres.