Find the total force and torque on the rectangular löop, by x=1, x= 3, y=2, and y =5, all dimensions in cm, if there is a uniform current sheet located at plane y = 0 and carries surface current density of -8a, A/m.
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- a 70-cm solenoid is wound 5 000 times around an aluminum rod with a radius of 0.50 cm. Calculate the flux in the solenoid if a 3-A current is supplied to it. (the relative permeability of aluminum is 250).Given the following arc of current,find the angle of the arc such that theB-field at the center point is 1.26 x10-5 T, the radius 12 cm, and thecurrent 7 Awire 1n Y wire 2 K-- 1, - K.- 1,- A current carrying wire(wire-1) with i = 10 Amperes is placed at the origin on the Y-Z plane. Another current carrying wire(wire-2) with iz = 12 Amperes is placed I = 9 m distance apart on the Y-axis. The point Pa is l1 = 7 m from the wire-1. P (0, 7, -12), P2 (0, 7,0) and the point Pa (0, 7,8) are on the same line. The direction of the current is given in the figure. Step 1: Consider a wire-1 only. a) Calculate magnetic field at P x component Give your answer up to at least three significance digits. Tesla y component Give your answer up to at least three significance digits Tesla z component Give your answer up to at least three significance digits p to Tesla Calculate the magnetic field at P x component Give your answer up to at least three significance digits Tesla y component Give your answer up to at least three significance digits Tesla z component Give your answer up to at least three signiticance digits. Tesla Step 2:Consider both wires b) Now…
- A solid cylindrical conductor with radius 4.50 cm carriesa current of 2.00 A. The current is uniformly distributed over the crosssectionalarea of the conductor. Find the magnitude of the magneticfield at the following distances from the conductor axis: 6.00 cm.A cylindrical conducting cable with cross-sectional radius of R = 1.1mm carries a current gixen by the current density wwm wwww m j = 5 (1-) %3D where the magnitude of the constant vector Dis 5x10^6 A/m^2 and x is the distance to the axis, of the cylinder. What is the current in the cable in ynites of ampere? (Take pi=3) Mw man M M mTong coaxral is r1 and The figure shows the cross-section of a coble. of the s hell the ou ter is ro current Conductive the inner radius rodius Is 12 and the radius of + he 0n er conductor Interior and Equel ond opposite dlrection 1 stoble flous through outer conductors. Ampere's low ris the wher e t hr ough of the distonce from the oxis possing center +he the coble using expression that gives ro7.17 A solid cylindrical wire of radius a carries current Iin the positive z direction. The wire conductivity is radially dependent and is given by a(p) = oop S/m, where o is a constant. The electric field intensity, constant throughout the wire volume, is given by E = E, a. V/m. (a) Find J in terms of Eo, 0o, and p. (b) Find E, in terms of I. (c) Express J in terms of I and other parameters, excluding Eo. (d) Using your part c result, find H inside and outside the wire. (e) Verify your part d result by applying V x H = J.niobium metal becomes a superconductor when cooled below 9.00 k. If superconductivity is destroyed when the surface magnetic field exceeds 0.100 T, determine the maximum current a 5.31 mm diameters niobium wire can carry and remain superconductingAn infinite solid cylindrical conductor has radius c and carries a current I. The current is uniformly distributed over its cross section. A coaxial infinite cylindrical conducting shell with inner radius b and outer radius a carries the same magnitude but opposite direction current. If I= 120 A, c= 0.4 cm, b= 1.8 cm, a= 2 cm. What is the magnitude of the B-field at the distance of: 1) 0.3 cm from the center of the system. 2) 1 cm from the center of the system.b) Figure Q.1(b) illustrates a portion of a printed círcuit board (PCB) microstrip traces routing. It consists of a thin trace sectir in, which lead to a wide curved trace section before branches to another part of the PCB layouts. The sections are intended to carry a total current I. An H field is expected to be induced by the two current carrying sections at point P with coordinate (0,0,0). Assume a negligible microstrip trace thickness for analysis. Plane z=0 (a+ B)/2 -L Wide curved Thin trace trace section section Figure Q.1(b) (i) Determine the current density , inside the wide curved trace section. ch ASUS VivoBooka) Suppose an infinitely long cylindrical wire of radius a in a direction parallel with the z-axis is located at y =d carries volume current density of J = J₁ ā₂ (A/m²) as shown in Fig. 4. Here J is constant. Calculate magnetic flux density B everywhere due to only this infinitely long cylindrical wire. b) A loop of wire carrying a current of I A is in the shape of a right triangle with two equal sides, each with length has shown in the Fig. 4. The triangle lies within a magnetic field that is found in part a) (due to infinitely long wire). Calculate total the magnetic force exerted on the triangular loop. N ← d- a J = Jā₂ (A/m²) 4 C c+h Fig. 4. An infinitely long cylindrical wire of radius a and atriangular loop.3.30P) Determine the B field on the axis of a circular cylinderical shell. The cylinder has a Radius b, length L, and the surface current density j = Ims@. Calculate the B in the cylinder by using Ampere's Law for very long L RO, 0, 2) JmsSEE MORE QUESTIONS