Question

a charge of -2q is located at the origin, while a charge of +q is located at x=d.

A) At which location is the electric potential equal to zero.

B) The work required to bring a positive test charge to this location from far away would be?

Answer #1

Let the potential be zero at a point P which is x m from the origin

The potential at point P due to the two charges will be

V = 0 at point P so

the electric potential equal to zero at location x = 2d from the origin

B) The work done in bringing a charge q from initial potential
V_{i} to final potential V_{f} is

the initial point far away means infinity

The final point is P where potential is zero

W = 0

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