Zero potential spots Charges of - q and +2 q are fixed in place, with a distance

ID: 2219011 • Letter: Z

Question

Zero potential spots

Charges of -q and +2q are fixed in place, with a distance d between them (see the drawing). A dashed line is drawn through the negative charge, perpendicular to the line between the charges. On the dashed line, at a distance L from the negative charge, there is at least one spot where the total potential is zero.

(a) At this spot, is the magnitude of the potential from the positive charge greater than, less than, or equal to the magnitude of the potential from the negative charge?

equal to

greater than

less than

(b) Is the distance from the positive charge to the zero-potential spot greater than, less than, or equal to L?

The distance is equal to L.

The distance is greater than L.

The distance is less than L.

There are two spots.

There are three spots.

There is only one spot.

Charges of -q and +2q are fixed in place, with a distance d = 3.00 m between them. A dashed line is drawn through the negative charge, perpendicular to the line between the charges. On the dashed line, at a distance L from the negative charge, there is a spot where the total potential is zero.

(d) What is the algebraic expression for the total potential VTotal at a given spot (not necessarily the spot where the potential is zero) that is produced by two point charges q1 and q2? Express your answer in terms of q2 and q2, the distance r1 from the charge q1 to the spot, the distance r2 from the charge q2 to the spot, and the constant k. (Answer using q_1 for q1, q_2 for q2, r_1 for r1, r_2 for r2, and k.)
VTotal =

(e) Find the distance L.

Please work out I am attempting to learn these thank you!