lecture9 - Electr ic Potential (I I I )- Fields- Potential-...

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Unformatted text preview: Electr ic Potential (I I I )- Fields- Potential- Conductors Potential and Continuous Charge Potential and Continuous Charge Distributions Distributions We can use two completely different methods: 1. 1. Or, Find from Gauss’s Law, then… , r dq k dV e = ∫ = source e r dq k V E , s d E dV •- = ∫ •- =- B A A B s d E V V Potential and Electric Field Potential and Electric Field Since y V E y V E x V E y y x ∂ ∂- = ∂ ∂- = ∂ ∂- = , s d E dV •- = therefore, we have: Hence: V k z V j y V i x V E ∇- = ∂ ∂ + ∂ ∂ + ∂ ∂- = ) ( Ex 1: Given V=3x 2 y+y 2 +yz, find E. Ex 2: Find the potential of a finite line charge at P, AND the y-component of the electric field at P. dq r L x d P Solution Example: The Electr ic Potential of a Example: The Electr ic Potential of a Dipole Dipole Find : a) Potential V at point P. b) What if x>>a ?...
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This note was uploaded on 05/02/2010 for the course PHYSICS 1E03 taught by Professor Jopko during the Spring '08 term at McMaster University.

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lecture9 - Electr ic Potential (I I I )- Fields- Potential-...

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