Q1) For the two vectors: A = - ay +2az, B= 3ax - 2ay + az find:1) 2A+ B2) the angle between A and B3) the component of B along A4) A. 2B5) Ax BQ2) a) Convert the point (5, TT/2, 5) to spherical coordinat system.b) Convert the vector A= - ax at P(0,2,0) to cylinderical coordinat system.Q3) In free space, a three equal point charges of 2 µc are located as follows:Q1 at (-2,0,2), Q2 at (2,0,2), Q3 at (0,0,0), find the force on Q3Q4) In free space a point charge of 20 µc at (0, 0,4) and a line charge of pL= - 10nc/m aty=3, z=4 find the electric field intensity at i) P1(0, 1, 4), ii) P2(0, -1, 4)Q5) a three infinit sheets of charge in free space , the first and second sheets is as follows:ps1=3 nc/m2at x=6ps2=5 nc/m2 at y=2find the surface charge density ps3 and location of the therd sheet to obtain anelectric field intensity at P(4,-1,1) is equal to (-90TT ay)V/m?

Answered: Image /qna-images/answer/810302e8-491e-498c-9f62-24623125e06b.jpg

Answered: Q1) For the two vectors: A = - ay +2az,…

Q1) For the two vectors: A = - ay +2az, B= 3ax - 2ay + az find: 1) 2A+ B 2) the angle between A and B 3) the component of B along A 4) A. 2B 5) A x B

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Solenoidal Vector Field

In Physics and Mathematics vector calculus attached to each point in a subset of space, there is an assignment of a vector in a field called a vector field.

Question

Q1) For the two vectors: A = - ay +2az, B= 3ax - 2ay + az find:
1) 2A+ B
2) the angle between A and B
3) the component of B along A
4) A. 2B
5) Ax B
Q2) a) Convert the point (5, TT/2, 5) to spherical coordinat system.
b) Convert the vector A= - ax at P(0,2,0) to cylinderical coordinat system.
Q3) In free space, a three equal point charges of 2 µc are located as follows:
Q1 at (-2,0,2), Q2 at (2,0,2), Q3 at (0,0,0), find the force on Q3
Q4) In free space a point charge of 20 µc at (0, 0,4) and a line charge of pL= - 10nc/m at
y=3, z=4 find the electric field intensity at i) P1(0, 1, 4), ii) P2(0, -1, 4)
Q5) a three infinit sheets of charge in free space , the first and second sheets is as follows:
ps1=3 nc/m2
at x=6
ps2=5 nc/m2 at y=2
find the surface charge density ps3 and location of the therd sheet to obtain an
electric field intensity at P(4,-1,1) is equal to (-90TT ay)V/m?

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