Potential Due to Point-Charges: Two Point Charges, Q and -3Q

question 38

Essay

Potential due to point-charges: Two point charges, Q and -3Q, are located on the x-axis a distance d apart, with -3Q to the right of Q. Find the location of ALL the points on the x-axis (not counting infinity) at which the potential (relative to infinity) due to this pair of charges is equal to zero.

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Definitions:

Oceanic Trench

Deep, narrow depressions in the ocean floor, often formed at subduction zones where one tectonic plate is forced beneath another.

Magmatic Belt

A zone abundant in igneous rocks, typically associated with plate boundaries where magma activities are prevalent.

Passive Margin

The transition zone between oceanic and continental lithosphere that is not an active plate margin.

Nuclear Power Plant

A facility that generates electricity using nuclear reactions, typically through the process of nuclear fission, in a controlled environment.