Graphing e field for ring charge

AI Thread Summary
The discussion focuses on graphing the electric field (E) for a ring charge, defined by the equation E=(kqz)/(z^2+a^2)^1.5. The maximum electric field occurs at z=a/sqrt(2) and the minimum at z=-a/sqrt(2), with the book confirming these points. To graph E versus z, additional points need to be determined, such as E at z=0, the sign of E for negative z values, and where E equals zero. Understanding the limits of E as z approaches infinity and negative infinity is also crucial for sketching the curve. Overall, these considerations will help create an accurate representation of the electric field's behavior.
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Homework Statement


E=(kqz)/(z^2+a^2)^1.5 Through calculus i found that the max occurs at z=a/sqrt(2) and z=-a/sqrt(2) and I think the negative one is the minimum. That answer was given in the book also. The ring has radius a. It wants me to graph E versus z. I'm a little confused on how to graph this. the only 2 points I have on there are 1 max and 1 min but I don't know how to draw the general shape.

Homework Equations


The Attempt at a Solution

 
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There are two points you know: the places of maximum and minimum. What is E at z=0? What is the sign of E at negative values of z? Where is E=0? What are the limits at infinity and at -infinity? From these, you can sketch the curve.

ehild
 
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