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Charges of -q and +2q are fixed in place, with a distance of 2.00mbetween them.

ID: 1666821 • Letter: C

Question


Charges of -q and +2q are fixed in place, with a distance of 2.00mbetween 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 at least onespot where the total potential is zero. Find L.

Charges of -q and +2q are fixed in place, with a distance of 2.00mbetween 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 at least onespot where the total potential is zero. Find L.

Explanation / Answer

The potentials of both charges at that point must be:

V1 + V2 = 0

Draw a triangle with vertices: -q (point A),2q(point B), and a point on the dashed line (I will call it P).

AP = r.......................................