Lecture_21_Part_2

Lecture_21_Part_2 - Chapter 21 Patterns of Fields in Space...

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Chapter 21 Patterns of Fields in Space • Electric flux • Gauss’s law • Ampere’s law • Maxwell equations
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Electrostatic phenomena Magnetic phenomena Coulomb law: r r Q Q F ˆ 4 1 2 2 1 0 πε = Biot-Savart law: 2 0 ˆ 4 r r v q B × = π μ Magnetic force: B v q F × = q F E = Principle of superposition Electric field: q U V = Potential: x V E x = V A V B = E d l B A Fundamentals
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What is in the box? no charges? vertical charged plate? Patterns of Fields in Space
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Box versus open surface Seem to be able to tell if there are charges inside …no clue… Gauss’s law: If we know the field distribution on closed surface we can tell what is inside. Patterns of Fields in Space
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Need a way to quantify pattern of electric field on surface: electric flux 1. Direction flux>0 : electric field comes out flux<0 : electric field goes in +1 -1 0 Relate flux to the angle between outward-going normal and E: flux ~ cos( θ ) Electric Flux: Direction of E
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2. Magnitude
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