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# lecture9 - Electric Potential(III Fie lds ntial Pote...

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Electric Potential (III) - Fields - Potential - Conductors

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Potential and Continuous Charge Distributions Potential and Continuous Charge 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 - = + + - = ) (

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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

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Solution
Example: The Electric Potential of a Dipole Find : a) Potential V at point P. b) What if x>>a ? c) Find

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lecture9 - Electric Potential(III Fie lds ntial Pote...

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