[3] A wire of radius a carries a uniform current density given by which is directed...
An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using symmetry and Ampere's law, find the magnitude and direction of the magnetic field at a point inside the wire. For the purposes of this problem, use a cylindrical coordinate system with the current in the +z-direction, as shown coming out of the screen in the top illustration. The radial r-coordinate of each point is the distance to the central axis of the wire, and...
2. (3 pts) A solid cylindrical wire of radius R carries uniform current density. Use Ampere's Law to calculate the magnetic field inside and outside the wire. Sketch your result as a function of distance r from the center.
given a solid wire of radius R in which there is a volume current density J= a/s solve for a, do not leave a in solution. Calculate total current I (s is radial term) Find magnetic field inside find magnetic vector potential A inside
A cylindrical non-magnetic wire, radius R, carries a uniform steady current I. Find H inside and outside the wire. If the current is 30 kA, what is the field in T at a distance of 1 m?
(a) (10 marks] A straight wire along the ź direction with a circular cross-section of radius R, carries a total current of magnitudel, and the magnitude of the current density varies as I = ks 2 where k is a constant and s is the radial distance from the axis of the wire. i) Express the constant k in terms of I and R. Show that the magnetic field inside the wire can be expressed as B = 80. Find...
A cylindrical copper wire with radius a = 0.021-m carries a uniform current of 229-A. What is the magnitude of the magnetic field at r = 0.0-m, r = a/2 and r = 2·a?
wire carries a current of -0,15 A. The second wire carries a current of -0.15A Randomized Variables d- 0.055m ▲ 20% Part (a) 圖 20% Part (b) Calculate the numerical alue offin Nm. 1 needed to e the two wires from a to 2d with radius a-05 m. The current density J-5.5 A/m is uniform in the cylinder In this problem we consider an imaginary cylieder with radius r around the axis AB IA pleted 14%Part(c) For," 0.5 a.c 14%...
b inside a current carrying wire A steady current I flows through a wire of radius a. The current density in a wire varies with ras ) = kr2, where k is a constant and r is the distance from the axis of the wire. Find expressions for the magnitudes of the magnetic field inside and outside the wire as a function of r. (Hint: Find the current through an Ampèrian loop of radius r using thru /j. dA. Use...
A circular loop of wire of radius R carries a current I in a region where a uniform magnetic field of magnitude B0 is present. (a) If the magnetic dipole moment of the loop makes an angle θ < π/2 with the magnetic field, do a drawing that includes the loop of current, its magnetic dipole moment, the magnetic field, and the direction of the torque experienced by the loop. Make sure to indicate the current i and the angle...
1. An infinite solenoid has n turns per unit length, a radius R, and carries a current I. The magnitude of the magnetic field inside the solenoid is given by B = Mon, pints along the solenoid, and vanishes outside. (a) Find the magnitude of the vector potential, A, at a radius r inside the solenoid. (b) Find the magnitude of the vector potential, A, at a radius r outside the solenoid. Check that your answers agree on the boundary,...