Let us assume that u= µ, in region 1 where z>0, whereas u= µ, in region 2 where z<0. Moreover, let surface current density K = k x on the interface z=0. The magnetic field in region 1 is given as B, = wx+ v y+ uz. Use magnetic boundary %3D conditions to find: 1. Bn1, 2. Bt1, 3. Bn2, 4. B2, 5. B2
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- A finite current-carrying wire lies on the y-axis as shown below. The current has a constant magnitude of I. The wire goes from y =d to y = c . Point P lies on the x-axis at æ = -b.A 110 A current circulates around a 2.10-mm-diameter superconducting ring. What is the ring's magnetic dipole moment? What is the on-axis magnetic field strength 4.70 cm from the ring?Question 9, chap 134, sect 4. part 1 of 1 10 points The cable is carrying the current I(t). Evaluate the electromagnetic energy flux S at the surface of a long transmission cable of resistivity p, length and radius a, using the expression 5 = EX B. 440 1. S = 2. S= 3. S= = 4. S= 7. S = 5. S= HOc12 4 π a² l 6. None of these. = PI² 2 π² a³ €0 με 12 2πα2 [2 8. S= 4πμocl Hо €0p 1² παλ πα? 12 pl но 12 2πα2
- Suppose B in a region of space centered on the origin has cylindrical symmetry and is given by B = B, ộ where Bo is a constant, and ô is the azimuthal direction in cylindrical coordinates. i) What is the current density in this region of space? ii) Suppose the current density that you found extends out to a radius R and is zero for r>R. What is the magnetic field for r > R?Consider a conducting ring of radius a and resistance R. Case I We first place the ring in a constant magnetic field B = shown in Figure 9. Bo pointing into the page as a) Calculate the magnetic flux through the ring. Express the answer in terms of the defined parameters in the problem.calculate the magnetic flux density for the current distribution in free space to be A = (3x²y+yz) ax + (xy2- x z3) ay - (7xyz - 3x2y2)az wb/m
- A closed current path is made from two different circular arcs as shown in the figure below. The larger arc has radius 3.0 cm and covers one quarter of the circle, and the smaller arc has radius 1.0 cm and covers the remaining three quarters of the circle. If the current is 1.5 A going counterclockwise, what is the magnitude of the B-field at the center of the circular arcs? Express your answer to the nearest µT.Question A5 Consider an infinitely large sheet lying in the zz-plane at the origin, the extent of the sheet in the x, and z direction is infinite. The sheet carries surface current J = Jok, where Jo is the current per unit width perpendicular to the flow. Calculate the magnetic field everywhere (y > 0 and y < 0) due to J. Sketch the Amperian loop.e. Draw the Amperian loop that will allow you to find the magnetic field at a point P inside the cylinder (r < b). f. Write the integral B ds = $ B cos o ds in terms of the unknown B and the givens 7 and/or b. Your answer should look familiar. g. i. What is the current Ithru going through your Amperian loop? Hint: the current is spread out evenly over the cross-sectional area of the wire so set up a ratio of areas. Check that your expression for Ithrough has the dimensions of current. h. Use (f) and (g) to determine the magnetic field for rConsider two thin wires of length w with a uniform current I as shown in figure below. Determine the magnetic flux density B(F) at the point P(w,w,0). Show the direction of the magnetic flux density at the given point. W I Z W P(w,w,0) yPart A In MRI, the transverse relaxation time measures how long it takes precessing protons to get out of phase with each other so that their individual magnetic dipole moments no longer add up to a macroscopic magnetization. In a 2.5 T MRI machine, how many precessions does a proton make in deoxygenated whole blood during the transverse relaxation time? να ΑΣΦ ? N = precessions Submit Request Answer Provide Feedback Next > 14Figure 8 shows a coaxial cable (two nested cylinders) of length l, inner radius a and outer radius b. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder is charged to −Q. The cable carries a current I, which flows clockwise. Use Ampere’s Law to calculate themagnetic field B⃗ at r<a, a<r<b, and r>b.SEE MORE QUESTIONS