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Q1) Transform the vector to cylindrical coordinate system: - K= yx'+xy + (x²//x²+y*)z° Q2) Express the vector (A) in rectangular coordinate system: - A = 5R R' + 2sin(4) 4´+ 2cos(0) 0 Q3//a)/ Convert the points D(1,-6,4), V(0,0,7), and S(-3,-4,1) to cylindrical and spherical forms. (b)Transform the vector :- M= (x²+y/ vx*+y+z) x - (yz/ vx+y'+z) z In cylindrical and spherical coordinate systems. Q4) A vector of magnitude (10) points from (5,5n/4,0) in cylindrical coordinates toward the origin as shown in fig.(1). Express the vector to rectangular coordinate system. Sz/4 Fig.l Q5) Convert the vector to rectangular coordinate system and evaluate it at the point (8,-1,2.5):- B = rz sin() r +3rcos(4) +r cosío) sin() z'. Q6) Transform the vector to rectangular coordinate system and find the magnitude at point (2,1,0). W = RR +sin(0) Q*. Q7) Transform the following vectors to cylindrical and spherical coordinate systems:- (a) P = (y +z) x. (b) Q = y x+xzy + (x+y) z. (c) T= (x/(x*+y) - y')x + (xy/(x+y*) - xy)y +z.

Q1) Transform the vector to cylindrical coordinate system: - K= yx'+xy + (x²//x²+y*)z° Q2) Express the vector (A) in rectangular coordinate system: - A = 5R R' + 2sin(4) 4´+ 2cos(0) 0 Q3//a)/ Convert the points D(1,-6,4), V(0,0,7), and S(-3,-4,1) to cylindrical and spherical forms. (b)Transform the vector :- M= (x²+y/ vx*+y+z) x - (yz/ vx+y'+z) z In cylindrical and spherical coordinate systems. Q4) A vector of magnitude (10) points from (5,5n/4,0) in cylindrical coordinates toward the origin as shown in fig.(1). Express the vector to rectangular coordinate system. Sz/4 Fig.l Q5) Convert the vector to rectangular coordinate system and evaluate it at the point (8,-1,2.5):- B = rz sin() r +3rcos(4) +r cosío) sin() z'. Q6) Transform the vector to rectangular coordinate system and find the magnitude at point (2,1,0). W = RR +sin(0) Q*. Q7) Transform the following vectors to cylindrical and spherical coordinate systems:- (a) P = (y +z) x. (b) Q = y x+xzy + (x+y) z. (c) T= (x/(x*+y) - y')x + (xy/(x+y*) - xy)y +z.

Introductory Circuit Analysis (13th Edition)
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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Q1) Transform the vector to cylindrical coordinate system: - K= yx+ x y"+ (x/x?+y*)z° Q2) Express the vector (A) in rectangular coordinate system: - A = 5R R + 2sin(4) 4*+ 2cos(0) 0 Q3/(a)/ Convert the points D(1,-6,4), V(0,0,7), and S(-3,-4,1) to cylindrical and spherical forms. (b)/Transform the vector :- M = (Vx²+y/ vx*+y+z*) x - (yz/ Vx+y'+z?) z In cylindrical and spherical coordinate systems. Q4) A vector of magnitude (10) points from (5,5n/4,0) in cylindrical coordinates toward the origin as shown in fig.(1). Express the vector to rectangular coordinate system. 5a/4 Fig.1 Q5) Convert the vector to rectangular coordinate system and evaluate it at the point (8,-1,2.5):- B = rz sin(4) r +3rcos() +r cos() sin() z. Q6) Transform the vector to rectangular coordinate system and find the magnitude at point (2,1,0). W = R R° + sin(0) *. Q7) Transform the following vectors to cylindrical and spherical coordinate systems:- (a) P= (y +z) x'. (b) Q = y x + xz y + (x+y) z. (c) T= (x/ (x+y) - y') x + (xy/(x*+y)- xy)y +z.
Transcribed Image Text:Q1) Transform the vector to cylindrical coordinate system: - K= yx+ x y"+ (x/x?+y*)z° Q2) Express the vector (A) in rectangular coordinate system: - A = 5R R + 2sin(4) 4*+ 2cos(0) 0 Q3/(a)/ Convert the points D(1,-6,4), V(0,0,7), and S(-3,-4,1) to cylindrical and spherical forms. (b)/Transform the vector :- M = (Vx²+y/ vx*+y+z*) x - (yz/ Vx+y'+z?) z In cylindrical and spherical coordinate systems. Q4) A vector of magnitude (10) points from (5,5n/4,0) in cylindrical coordinates toward the origin as shown in fig.(1). Express the vector to rectangular coordinate system. 5a/4 Fig.1 Q5) Convert the vector to rectangular coordinate system and evaluate it at the point (8,-1,2.5):- B = rz sin(4) r +3rcos() +r cos() sin() z. Q6) Transform the vector to rectangular coordinate system and find the magnitude at point (2,1,0). W = R R° + sin(0) *. Q7) Transform the following vectors to cylindrical and spherical coordinate systems:- (a) P= (y +z) x'. (b) Q = y x + xz y + (x+y) z. (c) T= (x/ (x+y) - y') x + (xy/(x*+y)- xy)y +z.
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