Field and Flux

In: Computers and Technology

Submitted By cma078
Words 761
Pages 4
Magnetic Field & Flux: Ampere’s Law & Faraday’s Law
Physics 204, Yaverbaum John Jay College of Criminal Justice, the CUNY (The following consists of 4 problems)

I. A long coaxial cable, a section of which is shown above, consists of a solid cylindrical conductor of radius a, surrounded by a hollow coaxial conductor of inner radius b and outer radius c. The two conductors each carry a uniformly distributed current I, but in opposite directions. The current is to the right in the outer cylinder and to the left in the inner cylinder. Assume µ = µo for all materials in this problem. a. Use Ampere's law to determine the magnitude of the magnetic field at a distance r from the axis of the cable in each of the following cases. i. 0 < r < a ii. a < r < b b. What is the magnitude of the magnetic field at a distance r = 2c from the axis of the cable? c. On the axes below, sketch the graph of the magnitude of the magnetic field B as a function of r, for all values of r. You should estimate and draw a reasonable graph for the field between b and c rather than attempting to determine an exact expression for the field in this region.

II. The coaxial cable continues to carry currents I as previously described. In the cross section above, current is directed out of the page toward the reader in the inner cylinder and into the page in the outer cylinder. Point P is located between the inner and outer cylinders, a distance r from the center. A small positive charge q is introduced into the space between the conductors so that when it is at point P its velocity v is directed out of the page, perpendicular to it, and parallel to the axis of the cable. d. i. Determine the magnitude of the force on the charge q at point P in terms of the given quantities. ii. Draw an arrow on the diagram at P to indicate the direction of the force. e. If the current in the outer cylinder were…...

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