Q4) Given the magnetic vector potential: A = y²z ax-(x + 1)z² az A/m Find(a) the magnetic flux density; (b)the magnetic flux through a square loop described by 0≤x≤1, 0 ≤ y ≤1, z=2.
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- Integrating over the current gives the total magnetic field. An integration variable s is defined in the diagram below. We want to integrate over the infinitely long straight wire to determine the magnetic field at point P which is a distance R from the wire. Which statement below is true? ds P---- so B = [∞ H,I R²+s² ds s R and sin ø = r = 2TR ds R R so B = J_∞ 4n s²(R²+s²)/² r = s and sin ø R²+s² 2nR O HoI so B = J_∞ 4n (R²+s²)°/² ds s HoI r = VR? + s² and sin ø R²+s? 2TR R ds HI R and sin ø = So B R²+s² Lo AT R(R²+s²)'/² 2TR O HoI so B = J_∞ 4n (R²+s²)®/² R ds R r = R + s² and sin o R²+s² 2nRThis is a practice problem from the Engineering Electromagnetics course in my Electrical Engineering program. Could you please walk me through the steps of solving it so that I can solve more complicated ones in the future? Thank you for your assistance.When the current in a long, straight, air-filled solenoid is changing at the rate of 2000 A/s, the voltage across the solenoid is 0.600 V. The solenoid has 1200 turns and uniform cross- sectional area 25.0 mm2 . Assume that the magnetic field is uniform inside the solenoid and zero outside, so the result L =M0AN2/l applies. What is the magnitude B of the magnetic field in the interior of the solenoid when the current in the solenoid is 3.00 A?
- Needs Complete solution with 100 % accuracy.10 Given a common magnetic core whose length is 100 cm, its cross-sectional area is 25 cm square. The relative permeability of the core material is 5000. Two coils are tightly wound on the core. N1 =1000 turns and N2 = 500 turns. The self-inductance of coil N1 will be: [ 7.85 m H 15.7 m H 3.927 m H 5.17 mHLength of a current carrying wire A straight length of wire carries a current of 50 A in a region where a uniform magnetic field has a magnitude of 0.100 T. The field is directed at an angle of 30 degrees away from the wire. How long is the WIRE ? F: ION
- Two parallel and coaxial current loops of radius, a, are separated by a distance, D. When you look at the loops along the axis, you notice that the current direction for both loops is not the same. What is the magnitude of the magnetic field at a location halfway between the loops on the axis? A. B. C. D. O Hola² 4(a² + D²)³/2 Hola2 2(a² + D²) ³/₂ 0 2μ01 DThe figure below shows a wire that forms a semicircle of radius R=10. 0 cm and two straight segments each of length 7.0 cm. The wire carries a current i = 42.0 mA.(a) What are the magnitude, and(b) direction of the magnetic field at point C?A wire is bent in the following shape and carries a current of 10 A in the direction shown. Find the components and the magnitude of the magnetic field at point “P". 1 m 0.5 m 0.5 m 1 m 1 m
- Please, I do not want a theoretical solution or using artificial intelligence. I want a solution on paper using the mathematical laws of the topicThe loop shown in the figure is within a uniform magnetic field B = 50ax mWb/m². If the DC side of the loop cuts the lines of flux at the frequency of 50 Hz and the loop lies in the yz plane at time t = 0, find: a) The induced emf at t = 1 ms and the induced current at t = 3 ms. b) b) Repeat the procedure now to: ⚫ B = 50ax mWb/m2. The magnetic field is oriented in the y direction. • B = 0.02t ax Wb/m2. The magnetic field varies with time. 4 cm- 3 cm 0.1 11%1. a) Suppose, a magnetic field, B = axzi + byzj + ck; using Gauss's law find out the relation between components a and b.