PHYS 272 Lecture Notes - Lecture 22: Vector Calculus, Surface Integral, Electric Field

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29 Aug 2018
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Phys 272 lecture 22: magnetic fields: lorentz force, consider a three-dimensional region of space with axes x, y, and z. A charge q moves a velocity v moves in the opposite direction of the wire; the charge is a distance r from the wire. The magnetic field acting on the charge is: where e is the electric field and b is the magnetic field, the lorentz force is given by: (cid:2162)=(cid:1869)(cid:2161)+(cid:1869) . =(cid:2020)(cid:2868)(cid:884)((cid:1870))(cid:2208) ,where (cid:2020)(cid:2868)= (cid:883)(cid:2868)(cid:1855)(cid:2870: the lorentz force: (cid:2162)=(cid:1869) =(cid:1869)(cid:4666)(cid:1876) (cid:1876)(cid:1877) (cid:4667)(cid:4672)(cid:2020)(cid:2868)(cid:884)(cid:4673)((cid:1870))= (cid:2020)(cid:2868)(cid:884)((cid:1869)(cid:1870))(cid:2207) , vector calculus note, the unit of magnetic field is called the tesla (t). It may also be written as newtons per. Ampere-meters: another unit of electric field is the gauss. 10,000 gauss is equivalent to 1 tesla: in college park, maryland, the earth"s magnetic field is approximately gauss, consider two parallel wires, one with a current i1 and the other with i2 moving in the same direction.

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