Lecture_04 - Lecture 4 1/20 Uniformly Charged Thin Shell...

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Lecture 4 1/20 Uniformly Charged Thin Shell Inside the Shell (r < a) Outside the Shell (r > a) Discontinuity in E 0 0 r E Q 2 0 4 r Q E r
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Lecture 4 2/20 Charged Sphere with Constant Charge Density Inside sphere total G G V Q V Q 2 0 0 2 0 4 4 ˆ r Q E Q r E Q dA n E G r G r S enclosed 3 0 2 0 2 0 4 4 4 R r Q E V r V Q r V E r G G r Q
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Lecture 4 3/20 Charged Sphere with Constant Charge Density Outside sphere 2 0 0 2 0 4 4 ˆ r Q E Q r E Q dA n E r r S enclosed Q
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Lecture 4 4/20 Uniform Surface Charge Inside (r < R) Outside (r > R ) +Q charge distributed uniformly over surface + + + + + + + + + + + 0 0 ˆ 0 r S enclosed E Q Q dA n E 2 0 0 2 0 4 4 ˆ r Q E Q r E Q dA n E r r S
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Lecture 4 5/20 Uniformly Semicircle of Charge What is the electric field at point P? P Q R dq E θ r r dq k E ˆ 2 cos 2 r dq k E x 2 2 2 R Q k E R Q R k E x x R Q L Q d r ds ds dq R k R k E R k E d R k E x x x 2 )} 1 ( 1 { 2 / 3 sin( ) 2 / {sin( cos 2 / 2 / 3 start end end start x x R d R k E r ds k E cos cos 2 2
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Lecture 4 6/20 Infinite Plane of Charge Use Gauss’s Law 0 0 ˆ enclosed end right sides end left S enclosed E Q Q dA n E σ h r n ˆ n ˆ n ˆ n ˆ 0 2 2 0 2 0 0 2 2 2 2 r r E r dA E A dA E Q end 0 2 E E cos ˆ ˆ n E n E n ˆ E
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Lecture 4 7/20 There are three infinite planes A, B, and C with different charge densities • σ A = 5 μ C/m 2 , σ B = 5 μ C/m 2 , and σ C = 14 μ C/m 2 Find the electric field between plane B and plane C. A) D) B) E) C) A x x x ˆ 9 ˆ 2 ˆ 4 0 0 0 B C x x x ˆ 2 ˆ 0 0 Quiz Question 1
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Lecture 4 8/20 Thin Sheet of Any Charge Distribution tiny disk
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This note was uploaded on 03/14/2012 for the course PHYS 241 taught by Professor Wei during the Summer '08 term at Purdue University-West Lafayette.

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Lecture_04 - Lecture 4 1/20 Uniformly Charged Thin Shell...

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