Electric Potential: Find Potential Everywhere from Two Point Charges

AI Thread Summary
To find the electric potential everywhere from two point charges located on the z-axis, the potential at any point can be calculated by summing the contributions from each charge. The potential due to a point charge is given by a specific formula, which can be applied directly. Integration is not necessary if the potentials from both charges are simply added together at a given point. The discussion emphasizes the use of the point charge potential formula rather than complex integration methods. Understanding how to apply these principles is crucial for solving the problem effectively.
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Homework Statement


Two point charges q and -q are located on the z axis at (x,y,z) = (0,0,a) and (0,0,-a) respectively.

Find the potential \phi everwhere



The Attempt at a Solution



I know all the equations and such, I just don't know how to integrate it. I am guessing that it is in cylindrical coordinates.
 
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Why do you need to integrate it? Just find the potential at any point due to q and the one due to -q and add up the two. This one you can easily apply the formula for potential due to point charge.
 
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