solution7_electrostatics

solution7_electrostatics - =a and =b =45 o 50V gap V x=0...

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EE1259: Electromagnetic assignment 1 EE1259 Assignment 7 (Due on 9:30am Thursday, October 25, 2007) 1. A large conduction cone ( θ =45 o ) is placed on a grounded conducting plane with a tiny gap separating it from the plane shown below. If the cone is connected to a 50-V source, find V , E , and surface charge density. 2. A parallel-plate capacitor has its plates at x=0, d and the space between the plates is filled with an inhomogeneous material with an electric permittivity + = d x 1 0 ε , if the plate at x=d is maintained at V o while the plate at x=0 is grounded, find: (a) Electrical field potential V(x) , and electrical field E r between two plates (c) Polarization P r in the inhomogeneous materials (d) Bounded surface charge density ρ ps for x=0, and x=d (on the surface of dielectric, not on the metal) 3. A metal bar with conductivity σ is shown in the figure below, with an inner radius of a , the outer radius of b , and thickness of t , Find R between the vertical surface at
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Unformatted text preview: =a and =b =45 o 50V gap V x=0 x=d EE1259: Electromagnetic assignment 2 Math Problems: M1. A Given the vector field: ( ) z y x a x a x a z xy G r r r r + = 2 8 16 (a) Is G conservative? (b) Find the net flux of G over the cube 0< x, y, z <1 . (c) Determine the circulation of G around the edge of the square z=0, 0<x, y<1 , assume anticlockwise direction. M2. If the vector field: ( ) ( ) ( ) z y x a y xz a z x a z xy T r r r r + + = 2 2 3 3 3 Is conservative, determine , , . Find T at (2, -1, 0) Solution for Assignment 7 Problem #1: The gap between the cone and the conducting plane server as an insulator. V only depends on , so Laplaces equation in spherical coordinate becomes: EE1259: Electromagnetic assignment 3 Problem #2: EE1259: Electromagnetic assignment 4 Problem #3: EE1259: Electromagnetic assignment 5 Math Problem #1: Math Problem #2:...
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This homework help was uploaded on 04/10/2008 for the course ECE 1259 taught by Professor Chen during the Fall '07 term at Pittsburgh.

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solution7_electrostatics - =a and =b =45 o 50V gap V x=0...

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