Two thin circular wires, each with radius a, carry equal currents I but in opposite directions. Theyare placed so that their centers are at z = ±a/2 and the plane of each loop is parallel to the xy-plane. Find the magnetic field at a point (0, 0, 2) on the symmetry axis. What is the magnetic dipolemoment of the system? Expand B(z) for z ≫ a keeping the lowest order term in a/z.

Answered: Image /qna-images/answer/a921d375-9f73-410f-aba9-8c33f8061721.jpg

Answered: Two thin circular wires, each with…

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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I = 7 A current flows from the infinitely long wire along the y axis that intersects the z axis at the point C (0,0,8) in the upper half space, which is the empty space. If z <0 half space, it is made of material with relative magnetic permeability µr = 7. Write the sum of the components of the magnetic field H [A / m] vector at point A (-2, -4,0-) (in half space z <0) in terms of the given magnitudes Hx + Hy + Hz numerically.
Consider an infinite hollow conducting cylinder of inner radius R and outer radius 3R, as shown in Figure 4. The non-uniform current density J is out of the page and varies with distance r from the center as J = Jork where Jo is a positive constant. Calculate the magnetic field at point P (r = 2R) from the centre, (magnitude and direction). Sketch the Amperian loop. P 2R 3R Figure 4: A cross-sectional view of an infinitely long cylinder used in question A6
If two magnetic field vectors H, and H2 are moving along the same axis in free space, write all the possible base vectors.
A +6.50 μC point charge is moving at a constant 8.00 × 106 m/s in the +y-direction, relative to a reference frame. At the instant when the point charge is at the origin of this reference frame, find the magnetic- field vector B it produces at point x = 0, y = -0.500 m, z = +0.500 m. Enter your answers numerically separated by commas. Bx, By, B₂ = Submit ΨΓ ΑΣΦ xa Xb 010 √x x x Previous Answers Request Answer X Incorrect; Try Again; 6 attempts remaining २४ Review | Constants Ć = ? |X| X.10n T
Consider an infinite hollow conducting cylinder of inner radius R and outer radius 3R, as shown in Figure 4. The non-uniform current density J is out of the page and varies with distance r from the center as J = Jork where J, is a positive constant. Calculate the magnetic field at point P (r = 2R) from the centre, (magnitude and direction). Sketch the Amperian loop. P 2R 3R Figure 4: A cross-sectional view of an infinitely long cylinder used in question A6
There is a long cylinder with radius of R, and magnetization of M = Mopî for p
Part A through D Please, and thank you A -4.60μC charge is moving at a constant speed of 6.80×10^5m/s in the +x−direction relative to a reference frame. At the instant when the point charge is at the origin, what is the magnetic-field vector it produces at the following points. Find Bx, By, Bz for each part. Part A x=0.500m, y=0, z=0 Part B x=0, y=0.500m, z=0 Part C x=0.500m, y=0.500m, z=0 Part D x=0, y=0, z=0.500m
1. Fig 1, shows a hollow cylindrical conductor of radii a and b which carries a current i uniformly spread over its cores section. a) show the the magnetic field B from points inside the body of the conductor is given by B={uoi/27(b²-a)} {(r2-a)/r}. And check the case when a=0. b) Make a rough plot at the general behavior of B(r) from r=0 to infinite. [r-current Fig. 1
function of r for each region below, in terms of a, b, and any physical page, uniformly distributed along its surface. Find the magnetic field as a through its cross-section, and the shell carries a total current /, into the thick wire carries a total current 1 out of the page, uniformly distributed thin cylindrical shell of radius b. (Neglect the thickness of the shell.) The A long, thick cylindrical wire of radius a is surrounded by a long. B6. 1. or numerical constants, and circle its direction. (a) B(a b) outside the shell Circle the direction: (clockwise ) (counter-clockwise ) (another direction) (there is no field)
Problem 4. R BA m Ꮎ N turns, carrying I A circular loop of wire with radius R, N turns, and total mass M carries a current I. It is pivoted about a line that passes through the loop as shown, then placed in a uniform magnetic field B = Bỏ2 so that its magnetic moment makes an initial angle of 0 << with the z-axis at time t = 0, and is then released. Describe its small-angle motion quantitatively. Note well that this arrangement has no angular momentum to speak of and will not precess!
A rectangular conducting frame has a steady current of the magnitude i. It is placed in a non-uniform magnetic field zone, as shown in the figure. The edge lengths of the rectangle are a and b. The magnetic field is given as, b B = (B, + 4.0y²) & (Here k is the unit vector along +z – axis, B, is a constant and y is the posi along y – axis) °B a Find the magnitude of the magnetic force on the frame, in terms of the given parameters. (Assume the frame is exactly on the xy-plane) ... ... .. ... ... .00... ...
Write down an expression for the electromotive force e generated between the ends of straight conductor of lengthI moving with velocity v at an angle 60 degrees to the lines of the magnetic field B. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual"+" and "-" signs as appropriate. For the trigonometric functions use the usual sin and cos (e.g. for sin 30°, use sin(30)). Please use the "Display response" button to check you entered the answer you expect. E=

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