solution4_electrostatics

solution4_electrostatics - =30 o M.3: If H= x 2 a x + y 2 a...

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EE1259: Electromagnetic assignment 1 EE1259 Assignment 4 ((Due on 9:30am, Tuesday, October 2 nd , 2007) 1. The electric flux density inside a dielectric sphere of radius a centered at the origin is given by r a r D r 0 ρ = (C/m 2 ) Apply Gauss’s law to find volume charge density v . 2. If the charge density increases linearly with distance from the origin such that v =10 C/m 3 at r=2m , find the corresponding variation of D . 3. Given that otherwise m nC v ) 2 1 ( 0 / 12 3 < < = Determine D r everywhere 4. For a spherical charge distribution > < = a r a r r a v 0 2 2 0 ) ( a. Determine E r everywhere b. Find the total charge c. Find the location with maximum E r Math question M.1: at point T (2, 3, -4), express unit vectors a z in the spherical system and a r in the rectangular system. M.2: Let z a a z a H r r r r φ 2 cos sin 5 + = . At point P (2, 30 o , -1) find: (a) a unit vector along H (b) the component of H parallel to a x (c) the component of H normal to =2 (d) the component of H tangential to
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Unformatted text preview: =30 o M.3: If H= x 2 a x + y 2 a y , evaluate L l d H r r where L is along the curve y=x 2 from (0,0) to (1,1) EE1259: Electromagnetic assignment 2 EE1259 Assignment 4 Solution EE1259: Electromagnetic assignment 3 EE1259: Electromagnetic assignment 4 M.1: at point T (2, 3, -4), express unit vectors a z in the spherical system and a r in the rectangular system. M.2: Let z a a z a H r r r r 2 cos sin 5 + = . At point P (2, 30 o , -1) find: (a) a unit vector along H (b) the component of H parallel to a x (c) the component of H normal to =2 (d) the component of H tangential to =30 o EE1259: Electromagnetic assignment 5 M.3: If H=x 2 a x +y 2 a y , evaluate L l d H r r where L is along the curve y=x 2 from (0,0) to (1,1)...
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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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solution4_electrostatics - =30 o M.3: If H= x 2 a x + y 2 a...

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