2049_ch23A - Chapter 23: Gauss Law PHY2049: Chapter 23 1...

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1 PHY2049: Chapter 23 Chapter 23: Gauss’ Law
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2 PHY2049: Chapter 23 Reading Quiz What is the electric flux through a sphere of radius R surrounding a charge +Q at the center? 1) ʵ Q 2) +Q/ Џ 0 3) ʵ Q/ Џ 0 4) +Q 5) None of these
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3 PHY2049: Chapter 23 Electric Flux Simple definition of electric flux (E constant, flat surface) E at an angle В to planar surface, area A Units = N m 2 / C (SI units) Simple example Let E = 10 4 N/C pass through 2m × 5m rectangle, 30° to normal Φ E = 10 4 * 10 * cos(30) = 100,000 * 0.866 = 86,600 More general E definition (E variable, curved surface) Normal E
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4 PHY2049: Chapter 23 Example of Constant Field
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5 PHY2049: Chapter 23 Flux Through Closed Surface Surface elements dA always point outward! Sign of Φ E E outward (+) E inward ( ʵ ) E < 0 E = 0 E > 0
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PHY2049: Chapter 23 Example: Flux Through Cube E field is constant: Flux through front face? Flux through back face? Flux through other 4 faces? Flux through whole cube? + EA
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2049_ch23A - Chapter 23: Gauss Law PHY2049: Chapter 23 1...

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