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Agenda Today –Problems in Last Few Chapters Tomorrow –Quiz on 21-23, Lab Wed –Shand begins 25

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Charge Distribution: Conducting Donut Point Charge Outside on Left Which is correct? Why?

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How to Solve this Problem Practice Ch. 22 What is Electric Field Produced by This? Sphere Hole in Sphere Constant charge density R1 R2 Hole Located at x=-R 1 /2 R 2 = R 1 /8 Charge Density =

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How to Create a hole? Simpler way to look at this? R1 R2 Hole Located at x=-R 1 /2 R 2 = R 1 /8 Charge Density =

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How to Create a hole? Simpler way to look at this? R1 R2 Hole Located at x=-R 1 /2 R 2 = R 1 /8 Charge Density =

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How to Create a hole? Make two spheres One + & one – Superposition [Add together] R1 Hole Located at x=-R 1 /2 R 2 = R 1 /8 Charge Density = R2 Try This?

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Electric Field & Potential R1 R2 R3 Two Metal Spheres Concentric Outer Hollow Iner: Charged +Q Outer: Charged -Q

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Electric Field & Potential Everywhere? R1 R2 R3 Two Metal Spheres Concentric Outer Hollow Iner: Charged +Q Outer: Charged -Q Specific Regions 0

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Electric Field & Potential R1 R2 R3 Two Metal Spheres Concentric Outer Hollow Iner: Charged +Q Outer: Charged -Q Specific Regions 0

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Electric Field & Potential R1 R2 R3 Specific Regions 0

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Metals: E = 0 Inside Metal R1 R2 R3 Specific Regions 0

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Metals: E = 0 Inside Metal R1 R2 R3 Specific Regions 0

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Electric Field? R1 R2 R3 Specific Regions 0

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Electric Field? R1 R2 R3 Specific Regions 0

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Electric Field? R1 R2 R3 Specific Regions 0

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Potential First: Reference Point R1 R2 R3 Specific Regions 0

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Potential: Reference Point R1 R2 R3 Specific Regions 0

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Potential: Reference Point Start at r=infinity, work way in R1 R2 R3 Specific Regions 0

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Where is V =0? Where is V= Constant? Try this? Capacitance? (C=Q/V) R1 R2 R3 Specific Regions 0

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Agenda Today –Problems in Last Few Chapters Tomorrow –Quiz on 21-23, Lab Wed –Shand begins 25

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a b c Gauss’ Law … made easy To solve the above equation for E, you have to be able to CHOOSE A CLOSED SURFACE such that the integral is TRIVIAL. (1)

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