1 Let A = pcos o a, + pz² sin o a, (a) Transform A into the rectangular coordinates and calculate its magnitude at point ( 3,-4,0). (b) Transform A into the spherical system and calculate its magnitude at point (3,4,0).

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ASSIGNMENT 1
1. Let A = p cos o a, + pz sin p a,
(a) Transform A into the rectangular coordinates and calculate its magnitude at
point ( 3,-4,0).
(b) Transform A into the spherical system and calculate its magnitude at point (3,-4,0).
2. Prove that V.VXA = 0 where A is the vector field.
3. Find the volume of the following region by using diffential volume, dv:
(a) 0<x<2,1< y<3,-2<z<2
(b) 2 <p<4.<<R,-2<z<3
(«) 1<r<4<o<<•<
4. Find the electric field, E from the following density of charge distribution (spherical
symmetric):
OsrsR
P =R
r>R
5. A section of a Pluto is given by 5 msrs 55 msesnsos.
(a) Determine the surface area of the spherical section.
(b) Determine the enciosed volume.
(c) Sketch the outline of the section.
6. Describe the importance of the electrostatic field i
electronic integrated circuit.
Transcribed Image Text:ASSIGNMENT 1 1. Let A = p cos o a, + pz sin p a, (a) Transform A into the rectangular coordinates and calculate its magnitude at point ( 3,-4,0). (b) Transform A into the spherical system and calculate its magnitude at point (3,-4,0). 2. Prove that V.VXA = 0 where A is the vector field. 3. Find the volume of the following region by using diffential volume, dv: (a) 0<x<2,1< y<3,-2<z<2 (b) 2 <p<4.<<R,-2<z<3 («) 1<r<4<o<<•< 4. Find the electric field, E from the following density of charge distribution (spherical symmetric): OsrsR P =R r>R 5. A section of a Pluto is given by 5 msrs 55 msesnsos. (a) Determine the surface area of the spherical section. (b) Determine the enciosed volume. (c) Sketch the outline of the section. 6. Describe the importance of the electrostatic field i electronic integrated circuit.
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