ASSIGNMENT 11. Let A = p cos o a, + pz sin p a,(a) Transform A into the rectangular coordinates and calculate its magnitude atpoint ( 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) 0R5. 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 ielectronic integrated circuit.

Answered: Image /qna-images/answer/7ea6b7e9-40d7-4226-9748-62bc5c426805.jpg

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).

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).

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Spherical Coordinate System

The spherical coordinate system is a three-dimensional coordinate system for space where the position of a point is specified by three numbers- the radial distance of that point from a fixed source, its polar angle measured from a certain zenith, and the azimuth angle. Its orthogonal projection on the reference plane passes through the source and is measured from the direction of constant reference on that plane which is orthogonal to the highest level. It can be viewed as a three-dimensional version of the polar coordinate system.

Question

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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