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Fundamentals of Electromagnetics with Engineering Applications
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- According to the figure below, wire section 1 of diameter D1 = 8 R and wire section 2 of diameter D2= 4R connected by a tapered section. The wire is copper, its resistivity uniformly distributed across any cross-section area through the wire's width. The electric potential change V along the length L = 4 m shown in section 2 is 20 µV. The number of charge carriers per unit volume is 8.49 x 1028 m3.What is the drift speed of the conduction electrons in section. 1.69 x 10-8 Qm and carriers a current. Assume that the current isarrow_forward1-If the distance between two point charges with a charge of 1C each is 1 meter, find the force acting on each load in empty space?arrow_forwardFind the total charge in mC of a cylindrical conductor (solid wire) 1 meter long and a diameter of 2mm. Given also its charge density (De) is 10^29 carriers/m^3 and its carrier velocity (u) is 19.9x10^-6 m/sarrow_forward
- A long copper wire carries a current of 15A which is evenly distributed in each cross-section of the wire. If the diameter of the wire is 3 mm, and the resistance per unit length is 4 ohm/km. Calculate the density of the magnetic and electric fields on the surface of the wire.arrow_forwardA 10 m long copper wire with radius of 2.0 mm carries a uniform surface charge density of 3.0 x 10 ^-6 C/m ^2.What is the magnitude of the electric field at a distance of 10 cm from the wire.arrow_forwardThere is an arrangement of three charges distributed along a perimeter of a circumference, the charge q1, is located at the point r1 = r with an angle of 900, q2, is located at the point r2 = r with an angle of 1500, q3, is located at the point r3 = r with an angle of 300. Calculate the electric potential on charge q1. Consider that the charges q1, q2 and q3 are equal to q.arrow_forward
- What is the field strength (volts per meter) in free space for a test charge located 1000 m from a charge of 0.001 Carrow_forwardThere is an arrangement of three charges distributed along a perimeter of a circumference, the charge q1, is located at the point r1 = r with an angle of 900, q2, is located at the point r2 = r with an angle of 1500, q3, is located at the point r3 = r with an angle of 300. Calculate the electric field on charge q1. Consider that the charges q1, q2 and q3 are equal to q.arrow_forwardFind the total current flowing (in ampere) in a cylindrical conductor (solid wire) 1 meter long and a diameter of 1mm. Given also that its charge density (De) is 1029 carriers/m3 and its carrier velocity (u) is 19.9x10-6 m/s.arrow_forward
- Find the work (in mJ) done in moving a point charge of -20 μC from the origin to a point in free space (1, 2, 4) m in the field E = 2 ( x + 4 y ) ax + 8 x ay(V/m) along the path of x 2 = 8 y.arrow_forward8 points charges of 1 nC each are located at the corners of a cube in free space that is 1 m on a side. Find E at the center of: (a) the cube; (b) a face; (c) an edge.arrow_forwardThree uniform charge distributions are present in a region: an infinite line charge, an infinite sheet of charge, and a finite line charge. An infinite line charge has a charge density pL = -2 nC/m is located at (x, 0, 4); an infinite sheet of charge located at (x, y,-7) with a charge density pS = -3 nC/m 2 ;a finite line charge that spans from (0, -3, 0) to (0, 3, 0) with a charge density of pL = 4 nC/m. Indicate the formulas that you will use. All coordinates are in meters. Use k=9 x 10 9. Determine the electric field due to the infinite line charge at (0, 0, 3). Determine the electric field due to the infinite sheet charge at (0, 0, 3). Determine the electric field due to the finite line charge at (0, 0, 3). Determine the total electric field at (0, 0, 3) due to the three charge distributions.arrow_forward
- Electricity for Refrigeration, Heating, and Air C...Mechanical EngineeringISBN:9781337399128Author:Russell E. SmithPublisher:Cengage Learning