problem 4 magnetic flux through χ-1,0 < y i, i < 2 4. Calculate s Problem 4 (10 points) In free space, A= 10 sinπ ya, + (4 + cosπ x)az wb/m. Find H and J. Problem 5 (10 points) magnetic...
7.34 In free space, the magnetic flux density is (a) Show that B is a magnetic field (b) Find the magnetic flux through x-1,0 < 1,1 < z < 4. c) Calculate J (d) Determine the total magnetic flux through the surface of a cube defined by 0 x <2> 0 < y < 2, 0 < z < 2. 7.34 In free space, the magnetic flux density is (a) Show that B is a magnetic field (b) Find the...
Problem [2] <10 points> Calculate the total flux o passing through the surface of this loop at t=ls. Problem [3] <10 points> Calculate the current on this loop at t =ls. Problem [4] <5 points> What is the direction of the current at t=1s ? Clockwise or counter-clockwise? I For Problems 2 to 4: Figure shows a resistive loop with resistance of 2 Ohms. Magnetic flux density in this region is B = (2zî + 3xý)e-21. Calculate the current on...
For problems 6 to 10 An electromagnetic wave propagating in free space is given as E = 100e as H = H, e g where H is a magnitude and is a unit vector. . The magnetic field can be given Problem [6] <5 points> What is the direction of propagation? a) +x b) +y c) +z d) - e) - f) -Z Problem [7] <5 points> Calculate H Problem [8] <5 points> What is s in s. a) +x...
4. A radial magnetic field 2.39 X 106 cos Ф A/1 exists in free space. Find magnetic flux ФВ crossing the surface defined by-n/4 (2/s)6T. Determine the magnetic flux ФВ crossing the 5. For the magnetic field B 2.5m, 0.0 < z < 2.0m. s plane surface defined by 0.5
Problem 2: (4 points) Given the magnetic flux density B- B,(a, +a). Find the absolute value of magnetic flux crossing the region x20 and y20 of a spherical surface defined byx'+y*+-2-1 Problem 2: (4 points) Given the magnetic flux density B- B,(a, +a). Find the absolute value of magnetic flux crossing the region x20 and y20 of a spherical surface defined byx'+y*+-2-1
The magnetic flux that passes through one turn of a 30-turn coil of wire changes to 2.0 Wb from 11.0 Wb in a time of 0.028 s. The average induced current in the coil is 155 A. What is the resistance of the wire? (10 points) 1) 2) A proto n in a particle accelerator has a speed of 5.0 X 10 m/s. The proton encounters a magnetic field whose magnitude is 0.40 T a) Find the magnitude of the...
Problem 2: In free space, a magnetic field at 150 MHz is given by: H, = (4+j10)(2ax +jay)e-jß: A/m. A. Find the corresponding electric field B. Find B C. What is Elmax?
Let H=F(x,y) and x=g(s,t), y=k(s,t) be differentiable functions. Now suppose that g(1,0)=8, k(1,0)=4, gs(1,0)=8, gt(1,0)=2, ks(1,0)=1, kt(1,0)=5, F(1,0)=9, F(8,4)=3, Fx(1,0)=13, Fy(1,0)=7, Fx(8,4)=9, Fy(8,4)=2. Find Hs(1,0), that is, the partial derivative of H with respect to s, evaluated at s=1 and t=0.
5. Setup (but do not evaluate) one integral (of any type) to find the flux of vector field F through surface S, where S s the unit cube given by 0 < x < 1,0 < y 1.0 < z 1, 5. Setup (but do not evaluate) one integral (of any type) to find the flux of vector field F through surface S, where S s the unit cube given by 0
Problem 5 (20pts). The magnetic field of an electromagnetic wave propagating in free space is given by: H(R,6,t) = (@0.2653 + $0.5305) sinėsin(wt – kR), Ho = 41 x 10-7 (H/m), €, = 8.85 x 10-12 (F/m). Frequency of 150 x 106 Hz Hint: useĚ = 1vx jw Find: a) Ễ (R,Q) and E(R,6,t), Let în component equal zero b) value of k Problem 5 (20pts). The magnetic field of an electromagnetic wave propagating in free space is given by:...