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Amperes Law of Force - KU ITTC

9/29/2005 Amperes Law of 1/4 Jim Stiles The Univ. of Kansas Dept. of EECS Ampere s law of Force Consider the case of two current filaments located in space. One filament has current I1 flowing along differential displacement distance dA1, while the other has current I2 flowing along dA2. We find that each current filament exerts Force dFon the other! The Force depends on the magnitude and direction of each filament vector (I dA), as well as on the distance R between the two currents. Andre Ampere determined this relationship in the 18th century, and we call his result Ampere s law of Force : ()11 2221012xxa4 IdI ddR=FAA 1r2r 11 IdAR 22 IdA9/29/2005 Amperes Law of 2/4 Jim Stiles The Univ. of Kansas Dept. of EECS Q: Yikes! What the heck does this mean ?

9/29/2005 Amperes Law of Force.doc 1/4 Jim Stiles The Univ. of Kansas Dept. of EECS Ampere’s Law of Force Consider the case of two current filaments located in space. One filament has current I 1

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