Chapt. 30 Currents Causing Magnetic Fields 231 b) Imagine that you superimpose another cylindrical conductor of radius b on the ±rst. The two cylinders have aligned symmetry axes. The second cylinder has current − v J with direction aligned with the symmetry axis. The second cylinder is smaller than the ±rst cylinder and entirely inside it, but o²-center by an amount c : i.e., c is the distance from the center of the ±rst cylinder to the center of the superimposed one. What is the magnetic ±eld at the center of second cylinder due to its own current only? What is the net magnetic ±eld at the center of second cylinder? What is net current density inside the second cylinder? HINT: Draw a diagram. c) What is the net magnetic ±eld inside the second cylinder at any point along the line from the center of the ±rst cylinder and passing through the second cylinder’s center? Be very careful about getting the signs of the components correct.
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 11/16/2011 for the course PHY 2053 taught by Professor Buchler during the Fall '06 term at University of Florida.