A point charge q = 3.00 C is at the origin. (a) Find the potential V on

A point charge q = 3.00 μC is at the origin.

(a) Find the potential V on the x axis at x = 3.00 m and at x = 3.01 m.

(b) Does the potential increase or decrease as x increases? Compute -ΔV/Δx, where ΔV is the change in potential from x = 3.00 m to x = 3.01 m and Δx = 0.01 m.

(c) Find the electric field at x = 3.00 m, and compare its magnitude with –ΔV/Δx found in part (b).

(d) Find the potential (to three significant figures) at the point x = 3.00 m, y = 0.01 m, and compare your result with the potential on the x axis at x = 3.00 m. Discuss the significance of this result.