A conductor of length 2.5 m located at z-0, x-3 carries a current of 10A in (-a,) direction. Find the uniform B in the region if the force on the conductor is 1.2 x 10-2 +az V2
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- (a) — (b) — (c) O O Od>c>b> a Ob>d>a> c (d) — Ø The figure shows four arrangements in which long, parallel, equally spaced wires carry equal currents directly into or out of the page. Rank the arrangements according to the magnitude of the net force on the central wire due to the currents in the other wires, greatest first. Od>b>c> a Ob>a>c>d Ob>d>c> a & Ⓡ Ⓡ OIf A/m on plane z = 0, (a) Determine the current density, and (b) Verify Ampere's law by taking the circulation of H around the edge of the rectangle Show all calculation must. Don,t copy from another site or here. Answer must be correctThe figure below is a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and another rubber layer. In a particular application, the current in the inner conductor is I, = 1.06 A out of the page and the current in the outer conductor is I, = 3.04 A into the page. Assuming the distance d = 1.00 mm, answer the following. d d (a) Determine the magnitude and direction of the magnetic field at point a. magnitude pT direction |---Select--- (b) Determine the magnitude and direction of the magnetic field at point b. magnitude direction -Select---
- longitudinally-uniform, and axially-symmetric 2. The current distribution of an infinite, wire can be described in cylindrical coordinates by J = J(p)ź. (a) Show that · ƒ = 0. (b) Considerations of longitudinal and axial symmetry require that the mag- netic field can only depend upon p, i.e. that = Ẻ(p) = B₂(p)ô+ Bø(p)❖ + B₂(p)ź. Use Ampère's Law to determine Bo(p) in terms of I(p) = 2π ff J(p') p'dp'. (c) Use the Biot and Savart Law to show that Bp(p) = B₂ (p) = 0. Side note: it is pretty easy to show that Bp(p) must be zero using Gauss's Law for B with a cylindrical volume. I am not aware of an "easy" way to see B(p) 0 not that it is very difficult using the Biot and Savart Law... (d) Use the integral form for the vector potential [Jackson, Eq. (5.32)] to determine A for this current distribution. Hint: in order to deal with divergent integrals, you may want to limit the current distribution to -L≤ zLet's take a current-carrying cable with a gradually narrowing cross-sectional area along the length of the wire so the wire turns into the shape of a very long, truncated cone. How does the drift speed (vd) vary along the length of the wire? It speeds up with the length or vd first increases and then goes down after it reaches to a critical value.or It slows down with the length of the cable or vd remains the same regardless the cross section of the cable.A copper cable is designed to carry a current of 300. A witha power loss of 2.00 W/m. What is the required radius ofthis cable?An infinitely long filament on the x-axis carries a current of 10 mA in the k direction. FindH at P(3, 2,1) mThe unit of surface current is A/m^2. Select one: True O False6-43. Figure 6-25(a) shows two anti-parallel, infinite length strips of width w and vertical separation d. Find the force per unit length between strips. (a) Figure 6-25. Anti-parallel current-carrying strips (a) in the same plane (b) in parallel planes.Show complete solution. Answer should be in 4 decimal places.A cylindrical wire carries a steady current density modeled as J(r) = Cr², where ris radial distance from 1.5 mm. If 15.0 C of charge flows through the wire in 5.0 s, center of the wire. The radius of the wire is R determine C.ou have a summer job as an assistant technician for a telephone company in California.During a recent earthquake, a 1.0-mile long underground telephone line is crushed atsome point. This telephone line is made up of two parallel copper wires of the samediameter and same length, which are normally not connected. At the place where theline is crushed, the two wires make contact. Your boss wants you to find this placeso that the wire can be dug up and fixed. You disconnect the line from the telephonesystem by disconnecting both wires of the line at both ends. You then go to one end ofthe line and connect one terminal of a 6.0-V battery to one wire, and the other terminalof the battery to one terminal of an ammeter. When the other terminal of the ammeteris connected to the other wire, the ammeter shows that the current through the wire is1.0 A. You then disconnect everything and travel to the other end of the telephone line,where you repeat the process and find a current of 1/3 A.SEE MORE QUESTIONS