4. A total current I is distributed over the area between two cylinders with radii a and b as shown below. The actual distribution (or the current density) is unknown, but we know that it only depends on the radius p in the region between the two cylinders. The current density is zero outside this range (i.e., it is zero for p < a and p > b). The magnetic field in which region(s) is independent of p (regardless of the actual current distribution)? a. p < a and p> b b. p

4. A total current I is distributed over the area between two cylinders with radii a and b as shown below. The actual distribution (or the current density) is unknown, but we know that it only depends on the radius p in the region between the two cylinders. The current density is zero outside this range (i.e., it is zero for p < a and p > b). The magnetic field in which region(s) is independent of p (regardless of the actual current distribution)? a. p < a and p> b b. p

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 80AP: The current density in the long, cylindrical wire shown in the accompanying figure varies with...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

4. A total current I is distributed over the area between two cylinders with radii a and b as shown
below. The actual distribution (or the current density) is unknown, but we know that it only
depends on the radius p in the region between the two cylinders. The current density is zero
outside this range (i.e., it is zero for p < a and p> b). The magnetic field in which region(s) is
independent of p (regardless of the actual current distribution)?
a. p< a and p> b
b. p<a
c. everywhere
d. None of the three regions (i.e., magnetic field in each region may or may not depend on p
depending on the actual formula for the current density)

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