A cylindrical conductor whose the axis is coincident with the z-axis has an integral magnetic field given by:
H= ᶲ (1/r)[1-(1+r)e-r] (A/m) r ≤ a
Where a is the conductor radius. Find the total current flowing through the conductor
A cylindrical conductor whose the axis is coincident with the z-axis has an integral magnetic fie...
5.22 A long cylindrical conductor whose axis is coincident with the z axis has a radius a and carries a current characterized by a current density J żJo/r, where Jo is a constant and r is the radial distance from the cylinder's axis. Obtain an expression for the magnetic field H for (a) 0<r Sa (b) r > a
4. (12 points) Ampere's law in cylindrical coordinates (p,p,z.) An infinitely long coaxial cable is given in the figure below. The inner conductor has a radius of R1 = 1.00cm. The outer conductor has a radius R2 = 2.00cm and has negligible thickness. The inner conductor has a current density given by J 2.00A p (TR1) flowing out of the page (positive z direction), where ρ is the radial direction. The outer conductor has a current 1 of 1.00 Amperes...
(1 point) [DL:2/5] A cylindrical conductor of radius R = 0.85 m is centred on the z-axis. The current density in the conductor is given in cylindrical coordinates: J = 16e (1-p/R)a, A/m? 'a, A/m² Find the total current passing through the plane z = 0. 146.8/e
A solid cylindrical conductor is supported by insulating disks on the axis of a conducting tube with outer radius Ra = 7.25cm and inner radius Rb = 4.55cm The central conductor and the conducting tube carry equal currents of I = 1.45A in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. What is the value of the magnetic field at a distance r = 5.29cm from the axis of the conducting tube? What is...
A solid cylindrical conductor is supported by insulating disks on the axis of a conducting tube with outer radius Ra = 5.85 cm and inner radius Rb = 4.75 cm . (Figure 1) The central conductor and the conducting tube carry equal currents of I = 1.35 A in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. What is the value of the magnetic field at a distance r = 4.99 cm from the...
A hollow, circular cylindrical conductor in freespace of infinite length. The inner and outer radius are b and c respectively, from the center z axis. It carries a current I in z direction. (a) Find the vector current density J. (b) Use Ampere's Law to find the magnetic field B and H outside the conductor(r>c). (c) Find B inside the hollow interior(r<b). (d) Find B in the conductor(b<r<c).
' A 82% 3:06 PM physics102fin2 0910 (1) A long cylindrical conductor of radius Rcarries a current /as shown in Figure. The current density J however, is not uniform over the cross section of the conductor but is a function of the radius according to Jr, where c is a constant. Find an expression for the magnetic field B (a) at a distance ri<Rand (b) at a distance> R, measured from the axis.
25.- Two (1 and 2) infinite straight co- axial conductors run along the z axis. Conductor 1 is a thin line carrying a current of 27 amps in the (+z) direc- tion. Q +X Conductor 2 is a hollow cylindrical shell which has a circular cross sec- tion (inner radius a = 0.20 m; outer radius b = 0.80 m) carrying a current of 72 amps in the (-z) direction uniformly distributed over the region a srsb. What is the...
A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density), however, is not uniform over the cross-section of the conductor but is a function of the radius according to ) = 2br, where b is a constant. Find an expression for the magnetic field magnitude B at the following distances, measured from the axis. (Use the following variables as necessary: Mo, 11, 12, b, R.) (a) '1 <R B =...
Find the magnetic field (in cylindrical coordinates) both inside and outside of a very long cylindrical wire of radius R on the z-axis. Inside the wire, current density is given by ? (?) = ?0 (1 − (3?)/(2?) ) ?̂