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:

Tectonic Terranes

Distinct portions of the Earth's crust, often with a unique geological history, that have been attached to a tectonic plate through the process of accretion.

Accretion

The process of gradual growth or increase, particularly through the accumulation of additional layers or matter, especially in a cosmic or geological context.

Subducted

Refers to the geologic process where one tectonic plate moves under another and sinks into the mantle.

Tectonic Terranes

Discrete fragments of crustal material formed on, or broken off from one tectonic plate, and accreted or sutured to crust lying on another plate.