If the voltage between two points is zero, can a test charge be moved between them with zero net work being done? Can this necessarily be done without exerting a force? Explain.

Two point charges Q1=+4.70 n/C and Q2 =-3.20 n/C are seperated by 45.0 cm (a) What is the electric potential at a point midway between the changes? -----V (b) What is the potential energy of the pair of charges? ----J What is the significiant of the algebraic sign of your answer? Positive work must be done to seperate the charges. Negative work must be done to seperate the charges.

(a) Two point charges with q₁ = +3.5 × 10−7 C and 92 = initially separated by a distance of r = 2.5 × 10-4 m m. (i) How much energy is required to double their separation? (ii) What is the electric potential at the point midway between the two charges when their separation is 2r? -4.5 × 10-7 Ca are

If the electric potential is zero at some point in space, must the electric field also be zero at that point?  Explain.