7B_Week_5_Charge_CL

7B_Week_5_Charge_CL - E M Week 1 Outline Charge Vector and...

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E & M Week 1: Outline Charge Vector and Scalar Fields Field Lines How do we make charge? In part thanks to MIT Technology Enabled Active Learning
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Your brain • Your brain is a massively parallel electrochemical computer • Thoughts are electrochemical signals • Memories are encoded in the brain by changing electrical and chemical contacts between neurons
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Lightning
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Aurora
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Soap Films http://people.rit.edu/andpph
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Sunsets
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Technology Electric Guitars Microphones Speakers Lights Amplifiers GFI Outlets Cell Phones
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Lasers
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Transistors
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Use concepts from 7A •Gradients •Path Integrals •Surface Integrals •Volume Integrals E d A S ∫∫ = Q in ε 0
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What’s the Physics? 7A : Intro. to basic physics concepts: motion, force, energy, dynamics (oscillations)… How does matter interact? Four Fundamental Forces: Short Range: Strong and Weak Mid Range: Electromagnetic (7B) Long range: Gravity (7A)
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7B: Electricity and Magnetism Also new way of thinking… How do objects interact at a distance? Fields We will learn about E & M Fields: how they are created & what they effect Big Picture (Mathematical) Summary: E d A S ∫∫ = Q in ε 0 E d s C = d Φ B dt B d A S ∫∫ = 0 B d s C = μ 0 I enc + μ 0 0 d Φ E dt F = q E + v × B ( ) Maxwell Equations: Lorentz Force:
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Fields in General Gravitational & Electric
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Scalar Fields e.g. Temperature: Every location has associated value (number with units)
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Scalar Fields - Contours • Colors represent surface temperature • Contour lines show constant temperatures
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Fields are 3D •T = T(x,y,z) •Hard to visualize Work in 2D
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Vector Fields Vector (magnitude, direction) at every point in space Example: Velocity vector field - jet stream
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Vector Field Examples Begin with Fluid Flow
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Vector Field Examples Flows With Sources
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Vector Field Examples Flows With Sinks
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Vector Field Examples Circulating Flows
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Visualizing Vector Fields: Three Methods Vector Field Diagram Arrows (different colors or length) in direction of field on uniform grid Field Lines Lines tangent to field at every point along line Grass Seeds Textures with streaks parallel to field direction
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Vector Fields – Field Lines • Direction of field line at any point is tangent to field at that point • Line spacing => field strength • Field lines never cross each other
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Vector Fields – “Grass Seeds” Source/Sink Circulating Although we don’t know absolute direction, we can determine relative direction
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Another Vector Field: Gravitational Field
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