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Unformatted text preview: 1 Gauss Law & & q in is the net charge inside the surface & represents the total electric field at any point on the surface E = E d A = q in o E 2 Applying Gauss Law & is valid for E of any system of charges or continuous distribution of charge. & But, in practice it is limited to symmetric situations: spherical , cylindrical , or plane symmetry & Remember, you choose Gaussian surfaces and they do not have to coincide with a real surface 3 Conditions for a Gaussian Surface & A good surface is one where (as many as possible): | E | can be argued from symmetry to be constant over the surface angle between and is 0 angle between and is & /2 field is zero everywhere over the surface E E dA dA 4 Field Due to a Point Charge calc 5 Field Due to a Point Charge & Choose a sphere as the Gaussian surface E is parallel to dA at each point on the surface E = E dA = EdA = q in o = E dA = E 4 r 2 E = q 4 o r 2 = k e q r 2 6 Field Due to a Spherically Symmetric Charge Distribution calc 7 Field Due to a Spherically Symmetric Charge Distribution & Select a sphere as the Gaussian surface & For r> a E = E dA = E dA = q in o E = Q 4 o r 2 = k e Q...
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This note was uploaded on 11/11/2011 for the course ENGR 231 taught by Professor Olehtretiak during the Fall '10 term at Drexel.
- Fall '10