Sheet (1)CE311- Third Year Class / Dr. Ali Al-Azza1. A field is given as Ģ = [ ²253,2] (xāx + yāy) . Find (a) a unit vector in the direction of G atP(3,4,-2); (b) the angle between G and ax at P; (c) the value of the following double integralon the plane y = 7.LLĞ· ãydzdxAns.: (a) āG (0.6, 0.8, 0). (b) 0 = 53°. (c) 26.2. Find (a) the vector component of F = 10āx - 6ãy + 5āz that is parallel to G = 0.1āx +0.2ā, +0.3āz;(b) the vector component of F that is perpendicular to G; (c) the vector component of G that isperpendicular to F.Ans: (a) (0.93, 1.86, 2.79) (b) (9.07,-7.86,2.21)(c) (0.02, 0.25, 0.26)3. Express the field D (x² + y²)-¹(xāx + yāy) in cylindrical components and cylindricalvariables. (b) Evaluate D at the point where p = 2, p = 0.2π, and z = 5, expressing the resultin cylindrical and rectangular components.Ans: (a)D=ā, (b) D = 0.41āx + 0.29ā,4. The surfaces p = 3, p = 5, p = 100°, = 130°, z = 3, and z = 4.5 define a closed surface.Find (a) the enclosed volume; (b) the total area of the enclosing surface.Ans: (a) 6.28 (b) 20.75. An infinite uniform line charge PL = 2 nC/m lies along the x axis in free space, while pointcharges of 8 nC each are located at (0,0,1) and (0,0,-1). a) Find E at (2,3,-4). (b) To what valueshould p, be changed to cause E to be zero at (0,0,3)?Ans: (a) Etot = 2.0ā, +7.3ā, -9.4ā₂V/m (b)-3.75nC/m6. The portion of the z axis for which |z| < 2 carries a nonuniform line charge density of 10|z|nC/m, and PL = 0 elsewhere. Determine E in free space at: a) (0,0,4). (b) (0,4,0).Ans: Ē(0,0,4)= 34.0ā, V/m (b) E (0,4,0)= 18.98 ā, V/m7. For identical uniform sheet charges with ps = 100 nC/m² are located in free space at z =

As per bartleby guidelines we need to answer 1 question for multiquestions.

1. A field is given as Ğ = [x25,²] (xāx + yāy) . Find (a) a unit vector in the direction of G at + P(3,4,-2); (b) the angle between G and ax at P; (c) the value of the following double integral on the plane y = 7. S Gāydzdx Ans.: (a) āG (0.6, 0.8, 0). (b) 0 = 53°. (c) 26.

1. A field is given as Ğ = [x25,²] (xāx + yāy) . Find (a) a unit vector in the direction of G at + P(3,4,-2); (b) the angle between G and ax at P; (c) the value of the following double integral on the plane y = 7. S Gāydzdx Ans.: (a) āG (0.6, 0.8, 0). (b) 0 = 53°. (c) 26.

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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