An infinitely-long thin wire carrying a current of I is placed along the z axis (2 is out of the paper). An infinitely-long cylindrical shell made of PEC is centered at the wire with inner and outer radii of a and b, respectively. Find the surface current density J, on the shell at r = a. Note that the magnetic field is zero inside PEC.

An infinitely-long thin wire carrying a current of I is placed along the z axis (2 is out of the paper). An infinitely-long cylindrical shell made of PEC is centered at the wire with inner and outer radii of a and b, respectively. Find the surface current density J, on the shell at r = a. Note that the magnetic field is zero inside PEC.

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)...

See similar textbooks

Similar questions

paz For the current distribution given below. The cylinder radii are 2 cm and 3 cm. The current density at the inner cylinder, K= 10 A/m with an angle 0=30°, and the current K2= 5 A/m at the outer cylinder, calculate a. The magnetic field in points a (at radius 1 cm), b (at radius 2.5 cm), and c (at radius 4 cm). b. What is the force acting on the inner and outer surfaces of the inner cylinder? c. Calculate the energy per length inside the cylinder
pls take ur time
Calculate the magnetic field intensity inside and outside of a very long wire of radius R which is carrying a uniformly distributed total current of / in z-direction.
A current / flows through a straight wire AB of finite length. (a) Find the magnetic field B at distance r from the wire, the ends of the wire making inner angles 01 and 02 with P, Figure (b) Obtain the limit value for B for a very long wire. P. 0,
Consider an infinitely long cylinder with radius R and axis along the z direction. The magnetization inside the cylinder is given by M(s) =M,i. (a) Find the volume bound current density J» and the surface bound current density Ks. (b) Using Ampere's law, find the magnetic field inside and outside the cylinder.
Please Help ASAP!!!!
help
A long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the conductor but is a function of the radius according to J = 6br2, 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: ?0, r1, r2, b, R.) (a) r1 < RB = (b) r2 > R B =
For a cylindrical conductor with a hollow center, let the radius from the axis to the inner circle be a and the radius from the axis to the outer circle be b, as shown below. Note that the region from the axis to a is hollow while the region between a and b is a conductor. We assume that the current I in the cylindrical conductor is uniformly spread into the cross-section between a and b. Plot the magnitude of the magnetic field with respect to the distance r from the axis.
You are facing a loop of wire which carries a clockwise current of 3.0A and which surrounds an area of 600 cm2. Determine the torque (magnitude and direction) if the flux density of 2 T is parallel to the wire directed towards the top of this page.
A closed current path is made from two different circular arcs as shown in the figure below. The larger arc has radius 3.0 cm and covers one quarter of the circle, and the smaller arc has radius 1.0 cm and covers the remaining three quarters of the circle. If the current is 1.5 A going counterclockwise, what is the magnitude of the B-field at the center of the circular arcs? Express your answer to the nearest µT.
When the magnetic field is into the page (X), is that negative z direction, and when the magnetic field is out of the page (.), is that positive z direction?