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Potential Through Integration

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Presentation on theme: "Potential Through Integration"— Presentation transcript:

1 Potential Through Integration

2 Finite Line of Charge Pg. 724 Example 25.7

3

4 How to really do this – look in integral tables (Appendix B in your book or any calculus text)

5 Uniformly Charged Ring
Find an expression for the electric potential at point P located on the perpendicular central axis of a uniformly charged ring of radius a and total charge Q. (Pg. 723 Example 25.5)

6 Integral Form 

7 Using V to find E In this case E is along the x axis so

8 Uniformly Charged Disk
A uniformly charged disk has radius R and surface charge density σ. Find the electric potential at a point P along the perpendicular central axis of the disk. (Pg. 723 Example 25.6)

9 Using the result for a ring of charge

10 Using V to find E In this case E is along the x axis so


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