Gauss' Law for Dielectric Medium

Gauss' Law for Dielectric Medium - Physics 202 Thursday...

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Physics 202 Thursday, February 19, 1999 Announcements: none Lecture notes: These notes are a continuation of last lecture's discussion of dielectrics in an electric field. The electric field induced by the dielectric points in the opposite direction of the electric field due to the parallel plate capacitor. o E o is the applied field o E i is due to the induced dipole moment. o E is the net field Net field: E = E o + E i Gauss' Law for Dielectric Medium Gauss' Law for Vacuum: E o = q/ ε o A Gauss' Law with a dielectric E = q- q i / ε o A where q i is induced charge We know that by inserting a dielectric into a capacitor, E = E o / κ = q/ κε o A = q - q i / ε o A Therefore q- q i = q/ κ ε o I (integral) κ E (dot product) dA = q o i.e. in a dielectric replace ε o with κε o Current and Resistance

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Consider the case when a battery is connected in a loop and conducting wire The battery will continuously move the charge around the loop o We can say that a constant i is being set up in the loop
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