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1. Consider the vector field G = TL xya- 5x²a+ yaz Find the vector component of G at (2, 5, 3) in the direction of 3a,+4ay. ma logated at 166 1 21 B(-2

1. Consider the vector field G = TL xya- 5x²a+ yaz Find the vector component of G at (2, 5, 3) in the direction of 3a,+4ay. ma logated at 166 1 21 B(-2

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Electromagnetics 1(Class 2, Midterm Exam) Department : Student Id Number : Student Name : 2023.10.23 1. Consider the vector field G = xyax- 5x²ayt yaz Find the vector component of G at (2, 5, 3) in the direction of 3a,+4ay. 2. The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4), and C(-3, 1, 5). Find the area of the triangle. 3. For the three points in problem 2, determine RBC × RAB. 4. Determine the rectangular coordinates of the point D(r= 5, 0-120°, = 60°). 5. Consider two point charges of -0.2 µC at (25, -30, 15) (in cm), and a second charge of 0.3 μC (-10, 8, 12) cm. Find E at (10, 20, 5) cm. 6. Consider two infinite uniform line charges of 10 nC/m at x=1 and y=3 in free space. Find E at (0, 2). 7. Assume a 32-µC point charge at the origin. Find the total electric flux passing through the sphere r = 2 cm bounded by 0 < 0 < π/2 and 0 << π/2 ; 8. Assume two point charges of 0.1 µC at (-1, 3, 6) and 0.3 µC at (1, -2, -2). Calculate the total electric flux leaving the cubical surface formed by the six planes x, y, z = ±5. 9. A point charge of 200 µC is located at r = 0, and uniform surface charge densities are located as follows: 0.3 mC/m² at r = 1 cm, and -0.6 mC/m² at r= 1.8 cm. Determine D at r= 1.5 cm. 10. Assume an electric field E= xa+ 2ya,+ 4a V/m. Determine the work to move a 2-C charge along the straight line from A(2, 3, -2) to B(-2, 1, -4). 11. Assume an electric field E = ax+ 2xya,+ 4za, V/m. Let A(1, 3, -1), B(-2, 1, -4). Find VAB.
Transcribed Image Text:Electromagnetics 1(Class 2, Midterm Exam) Department : Student Id Number : Student Name : 2023.10.23 1. Consider the vector field G = xyax- 5x²ayt yaz Find the vector component of G at (2, 5, 3) in the direction of 3a,+4ay. 2. The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4), and C(-3, 1, 5). Find the area of the triangle. 3. For the three points in problem 2, determine RBC × RAB. 4. Determine the rectangular coordinates of the point D(r= 5, 0-120°, = 60°). 5. Consider two point charges of -0.2 µC at (25, -30, 15) (in cm), and a second charge of 0.3 μC (-10, 8, 12) cm. Find E at (10, 20, 5) cm. 6. Consider two infinite uniform line charges of 10 nC/m at x=1 and y=3 in free space. Find E at (0, 2). 7. Assume a 32-µC point charge at the origin. Find the total electric flux passing through the sphere r = 2 cm bounded by 0 < 0 < π/2 and 0 << π/2 ; 8. Assume two point charges of 0.1 µC at (-1, 3, 6) and 0.3 µC at (1, -2, -2). Calculate the total electric flux leaving the cubical surface formed by the six planes x, y, z = ±5. 9. A point charge of 200 µC is located at r = 0, and uniform surface charge densities are located as follows: 0.3 mC/m² at r = 1 cm, and -0.6 mC/m² at r= 1.8 cm. Determine D at r= 1.5 cm. 10. Assume an electric field E= xa+ 2ya,+ 4a V/m. Determine the work to move a 2-C charge along the straight line from A(2, 3, -2) to B(-2, 1, -4). 11. Assume an electric field E = ax+ 2xya,+ 4za, V/m. Let A(1, 3, -1), B(-2, 1, -4). Find VAB.
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