coordinates and

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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Homework #1
QI. Transform the following vectors into spherical coordinates and then evaluate them
at the indicated points.
a) A = y'à, + xzà, + 4â, at Pi(1,-1,2)
b) B= cos pâ, - sin pâ, + cos øsin pâ̟ at P2(2, t/4,2)
Q2. For each of the following surfaces, sketch the surface outline and perform surface
integral to determine the surface area.
a) r=3; 0<0<T/3;-2szs2.
b) 2sr 55; 1/2<OST; z=0.
Q3. Using spherical coordinates to write the differential surface areas dS, and dS;
and then integrate to obtain the surface marked 1 and 2 in Figure below?
1
sp
ds,
60°
Q4. Express the unit vector directed toward the origin from an arbitrary point on
the line described by x-0, y-3?
âg + Rcos Đâ, +â, in Cartesian coordinate system? Find E at (-3, 4, 0)?
R
10
Q5. Express E=
Q6. Given that,
E (R,0,4) = (R'e*)ân +(e* cos tan ø)â, + cos pâ,
and S is the closed surface of a sphere with R=5. Evaluate E ds.
Transcribed Image Text:Homework #1 QI. Transform the following vectors into spherical coordinates and then evaluate them at the indicated points. a) A = y'à, + xzà, + 4â, at Pi(1,-1,2) b) B= cos pâ, - sin pâ, + cos øsin pâ̟ at P2(2, t/4,2) Q2. For each of the following surfaces, sketch the surface outline and perform surface integral to determine the surface area. a) r=3; 0<0<T/3;-2szs2. b) 2sr 55; 1/2<OST; z=0. Q3. Using spherical coordinates to write the differential surface areas dS, and dS; and then integrate to obtain the surface marked 1 and 2 in Figure below? 1 sp ds, 60° Q4. Express the unit vector directed toward the origin from an arbitrary point on the line described by x-0, y-3? âg + Rcos Đâ, +â, in Cartesian coordinate system? Find E at (-3, 4, 0)? R 10 Q5. Express E= Q6. Given that, E (R,0,4) = (R'e*)ân +(e* cos tan ø)â, + cos pâ, and S is the closed surface of a sphere with R=5. Evaluate E ds.
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