COSMOS: Complete Online Solutions Manual Organization System
Chapter 1, Problem 1.
Given the vectors M = −10a x + 4a y − 8a z and N = 8a x + 7a y − 2a z , find: (a ) a unit
vector in the direction of − M + 2N; (b) the magnitude of 5a x + N − 3M ; (c)
| M || 2N | (M + N ).
Engineering Electromagnetics, 7th Edition William H. Hayt, Jr., (Deceased), John A Buck
©2006 The McGraw Hill Companies.
COSMOS: Complete Online Solutions Manual Organization System
Chapter 1, Problem 5.
A vector field is specified as G = 24 xya x + 12( x 2 + 2)a y + 18 z 2a z . Given two points,
P (1, 2, −1) and Q (−2,1, 3) , find: (a ) G at P; (b) a unit vector in the direction of G at
Q; (c) a unit vector directed from Q toward P; (d ) the equation of the surface on which
| G |= 60.
Engineering Electromagnetics, 7th Edition William H. Hayt, Jr., (Deceased), John A Buck
©2006 The McGraw Hill Companies.
COSMOS: Complete Online Solutions Manual Organization System
Chapter 1, Problem 7.
Given the vector field E = 4 zy 2 cos 2 xa x + 2 zy sin 2 xa y + y 2 sin 2 xa z for the region | x | ,
| y | , and | z | less than 2, find: (a ) the surfaces on which E y = 0; (b) the region in which
E y = Ez ; (c) the region in which E = 0.
Engineering Electromagnetics, 7th Edition William H. Hayt, Jr., (Deceased), John A Buck
©2006 The McGraw Hill Companies.
COSMOS: Complete Online Solutions Manual Organization System
Chapter 1, Problem 9.
A field is given as G = [25/( x 2 + y 2 )]( xa x + ya y ) . Find: ( a ) a unit vector in the direction
of G at P (3, 4, −2) ; ( b ) the angle between G and a x at P ; ( c ) the value of the double
integral on the plane y = 7.
Engineering Electromagnetics, 7th Edition William H. Hayt, Jr., (Deceased), John A Buck
©2006 The McGraw Hill Companies.
COSMOS: Complete Online Solutions Manual Organization System
Chapter 1, Problem 13.
( a ) Find the vector component of F = 10a x − 6a y + 5a z that is parallel to
G = 0.1a x + 0.2a y + 0.3a z . ( b ) Find the vector component of F that is perpendicular to
G . ( c ) Find the vector component of G that is perpendicular to F.
Engineering Electromagnetics, 7th Edition William H. Hayt, Jr., (Deceased), John A Buck
©2006 The McGraw Hill Companies.
COSMOS: Complete Online Solutions Manual Organization System
Chapter 1, Problem 19.
( a ) Express the field D = ( x 2 + y 2 )−1 ( xa x + ya y ) in cylindrical components and
cylindrical variables; ( b ) Evaluate D at the point where ρ = 2 , φ = 0.2π , and z = 5 ,
expressing the result in cylindrical and rectangular components.
Engineering Electromagnetics, 7th Edition William H. Hayt, Jr., (Deceased), John A Buck
©2006 The McGraw Hill Companies.
COSMOS: Complete Online Solutions Manual Organization System
Chapter 1, Problem 25.
Given point P(r = 0.8,θ = 30! , φ = 45! ) , and E = 1/r 2 (cos φa r + sin φ/ sin θ aφ ) ; ( a ) Find
E at P ; ( b ) Find | E | at P ; ( c ) Find a unit vector in the direction of E at P .
Engineering Electromagnetics, 7th Edition William H. Hayt, Jr., (Deceased), John A Buck
©2006 The McGraw Hill Companies.