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Chapter 1 Solutions
Engineering Electromagnetics
- Express the unit vector ax in spherical components at the point:a) r = 2, θ = 1 rad, φ = 0.8 rad;b) x = 3, y = 2, z = −1;c) ρ = 2.5, φ = 0.7 rad, z = 1.5.arrow_forward1. Determine the initial point of the vector <2, 4, -1> whose terminal point is (3, -2, 2) 2. Find the magnitude and angle of the resultant vector if the given vectors are V1=-7i+7J and V2=6i-9j 3. for what values of "a" and "b" are the vectors <a-b, 2> and <4, a+b> equal?arrow_forwardGiven the two pointsA(2,3,-1) and B(4,250, 1200). Find the spherical coordinates of A and Cartesian Coordinates of B.arrow_forward
- Given the scalar field defined by ∅(x, y, z) = 4yz^(3) + 3xyz- z^(2)+ 2. Find ∅(1, -1, -2)arrow_forwardGiven points A(x = 2, y = 3, z = -1) and B(r = 4, Ø = 25º, φ = 120º) find:A. The spherical coordinates of AB. The cartesian coordinates BC. The distance from A to Barrow_forwardConsider the vector field G = yx ax + 2.5x ay – 2y2 az and the point Q(6, 5, -2). Find: (a) G at Q; (b) the scalar component of G at Q in the direction of aN = 1/3 (2ax + ay − 2az ); (c) the scalar and vector component of G at Q in the direction of aN ; (d) the angle θGa between GQ and aN .arrow_forward
- The ff vector fields are given: A = -10ax + 20x(y-1) ay B = 2x²y ax - 4ay + zaz For the given point P (2, -3, 4) find the Unit vector from B to Aarrow_forwarda. Two vectors A and B are given at a point P(r, Ɵ, Φ) in space as A = 10ar + 30aƟ – 10a Φ B = 3ar + 10aƟ – 20a Φ Determine: 2A – 5B B A X B Repeat the above solution if the two vectors A and B given at a point P(r, Ɵ, Φ) in space reduced by 30 percent. Discuss the differences in solution a and b above.arrow_forwardGiven points A(x = 2, y = 3, z = −1) and B(ρ = 4, ∅ = −50°, z = 2),Find the distance from:(a) A to origin;(b)B to the origin;(c)A to B.arrow_forward
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