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Object Integration Handout

Object Integration Handout - SUNY Geneseo Department of...

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SUNY Geneseo, Department of Physics and Astronomy Physics 125: Analytical Physics II (Object) Integration in Physics This type of integral applies when you have an extended charged object that contributes to some physical quantity (e.g., total charge, electric potential, electric field), but different parts of the object contribute in different ways. Call the physical quantity that you’re trying to get the PQ. The general method is CCCIE: Chop up the object, find a Coordinate System to describe the chopping, find the Contribution from each small piece, Express that contribution in terms of the coordinates, and Integrate . To keep track of things: any quantity that is really small should be represented by a differential (e.g. dq for a small charge). Note that this is not the product of d and q . Rather, it is a two-letter variable for a single quantity. A) CHOP the object into small pieces. All pieces must have the same sort of shape, and you must already know a PQ formula for this shape.
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