Lect_6_note

Lect_6_note - Chapter 24 -3 Gausss Law Gausss Law qin E = E...

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Chapter 24 -3 Gauss’s Law
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Gauss’s Law ± q in is the net charge inside the surface ± E represents the electric field at any point on the surface EA in E o q d ε Φ= = ±
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Gauss’s Law EA in E o q d ε Φ= = ± Φ E = Σ Ε i dA cos θ surface
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A charged conducting sphere E(r) = 0 for r<a 2 0 4 1 | | r Q E πε = for r >a r = a ? nm (E a – 0) Area = q/ ε o E a = q/(Area ε o ) = σ / ε o E a = Q/(4 πε o a 2 ) σ = Q/(4 π a 2 )
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A conductor hollow sphere Charge is accumulated at the outer surface ! No free charge stays inside ! q Q
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A conductor hollow sphere q r 1 2 Q E 1 4 π r 1 2 =(Q +q)/ ε 0 E 2 4 π r 2 2 =q/
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A conductor hollow sphere q r 3 E 3 4 π r 3 2 =(Q’ +q)/ ε 0 Inside a conductor, E 3 = 0 Q’+q= 0, Q’=-q -q Q Q+q
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A conductor hollow sphere q E 1 E 2 E 3
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Apply Gauss’s law to Conductor ± Charges move freely within a conductor ± When there is no net motion of charge within a conductor, the conductor is said to be in electrostatic equilibrium
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Apply Gauss’s law to Conductor ± E field within a conductor in electrostatic equilibrium is zero E inside =0
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This note was uploaded on 01/28/2011 for the course PHYS 011 taught by Professor Nianlin during the Fall '08 term at HKUST.

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Lect_6_note - Chapter 24 -3 Gausss Law Gausss Law qin E = E...

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