54. Calculating Electric Field from Gauss' Law- Charged Plane Sheet

54. Calculating Electric Field from Gauss' Law- Charged Plane Sheet

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Calculating ~ E from Gauss’ Law: Charged Plane Sheet Consider a uniformly charged plane sheet. Charge per unit area on sheet: σ (here assumed positive). Use Gaussian cylinder with cross-sectional area A placed as shown. Electric flux through Gaussian surface: Φ E = I ~ E · d ~ A = 2 EA. Net charge charge inside Gaussian surface:
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Unformatted text preview: Q in = σA . • Gauss’ law I ~ E · d ~ A = Q in ² becomes 2 EA = σA ² . • Electric field at both ends of cylinder: E = σ 2 ² (pointing away from sheet). • Note that E does not depend on the distance from the sheet. tsl54 – p.1/1...
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