A 1.0-mm-diameter ball bearing has 2.0×10^9 excess electrons. What is the ball bearing's potential?

An infinitely long line of charge has linear charge den­sity 5.00x10^-12 C/m. A proton (mass 1.67x10^-27 kg, charge +1.60x10^-19 C) is 18.0 cm from the line and moving directly toward the line at 3.50x10^3 m/s. (b) How close does the proton get to the line of cha rge?

A thin rod of length L and total charge Q has the nonuniform linear charge distribution λ(x)=λ₀x/L, where x is measured from the rod's left end.b. What is the electric potential on the axis at distance d left of the rod's left end?

Two positive point charges are 5.0 cm apart. If the electric potential energy is 72 μJ, what is the magnitude of the force between the two charges?

CALC The electric field in a region of space is Ex=5000x V/m , where x is in meters.b. Find an expression for the potential V at position x. As a reference, let V=0 V at the origin.

CALC An electric dipole at the origin consists of two charges ±q spaced distance s apart along the y-axis.a. Find an expression for the potential V(x, y) at an arbitrary point in the xy-plane. Your answer will be in terms of q, s, x, and y.

INT CALC Two positive point charges q are located on the y-axis at y = ±a.a. Write an expression for the electric potential at position x on the x-axis.