8 GaussProblemSolving

# 8 GaussProblemSolving - Craig Ogilvie Review lecture 7...

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Unformatted text preview: Craig Ogilvie Review lecture 7 Craig Ogilvie 11 • Gained more experience with • Gauss law to calculate E-field • Electrostatic potential V(x,y,z) • Conducting spherical shell • Parallel plates Craig Ogilvie Worked Problem I § Insulator slab of thickness 2d, from x=-d to x=+d – infinitely large in area ( much larger than d) – charge distributed uniformly throughout volume – volume charge density ρ =Q/volume § What is the E-field for 0 < x < d ? § Develop a plan for solving this – first by yourself – Discuss with neighbor Craig Ogilvie 22 Craig Ogilvie Worked Problem I § Side-view shown Craig Ogilvie 33 d d Decide on symmetry => translation up/down page Draw Gaussian surface Box from x=0 to distance x Keep x below the surface, Encloses charge In your group calc E(x), at outer surface of red gaussian surface Craig Ogilvie Worked Problem I Craig Ogilvie 44 d d ∫ ∫ = ⋅ ε enclosed q A d E ∫ ∫ ∫ ∫ ∫ ∫ ∫ ∫ ⋅ + ⋅ + ⋅ = ⋅ = end x sides end x A d E A d E A d E A d E ∫ ∫ ∫ ∫ ∫ ∫ = = = ⋅ end x end x EA dA E EdA A d E ε ρ ε ρ ε Ax Vol q enclosed = = ε ρ ε ρ x E Ax EA = = Graph this!...
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8 GaussProblemSolving - Craig Ogilvie Review lecture 7...

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