Zero Potential and Electric Intensity in a 2D Plane with 3 Point Charges

AI Thread Summary
The discussion revolves around finding points in a 2D plane where the electric potential and electric intensity are zero, given three point charges located at specific corners of a square. The equation for electric potential was derived, leading to a focus on solving for the coordinates in the x,y plane. There is confusion regarding whether the problem pertains to electric intensity or electric field strength, prompting a request for clarification on relevant equations. Participants emphasize the need to remain within the 2D context of the problem. The conversation highlights the importance of correctly interpreting the problem's requirements for accurate solutions.
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Homework Statement


Let us have a square ABCD (D is in the topleft corner) of size 1 m. Let us have 3 point charges situated in points B, C and D. The charges are following QB=2C, QC=-1C and QD=5C. The task is to find (a) the points/plane where the electric potential is zero and (b) two points where the electric intensity is zero.

Homework Equations


ψ = (1/(4*pi*epsilon))* (Q1/r1+Q2/r2+Q3/r3)=0

The Attempt at a Solution


According to the equation mentioned above I obtain the following equation
2/rB-1/rC+5/rD=0
But now what? Is my current procedure OK?
 
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Your procedure is OK. If (a) asks for the points in the plane where the potential is zero, you can write it out in x and y and try to solve. Expect to end up rather close to C. in 3D it becomes a deformed sphere.
 
How do I write it in x,y? And why in 3D, I should find the points in 2D not 3D.
Any hint to (b)?
 
Anyone?
 
"I should find the points in 2D not 3D" Good thing you tell us, because it's nowherer in the original posting.

If (x,y) is a point in the x,y plane, what is the expression for rB ?

Wrt (b), does the problem ask for electric intensity, or does it ask for electric field strength ? If so, do you have a relevant equation available ?
 
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