Answered: Figure P19.65

Science

Physics

Figure P19.65

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter38: Refraction And Images Formed By Refraction

Section: Chapter Questions

Problem 33PQ

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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

Two coplanar and concentric circular
loops of wire carry currents
of I₁ = 5.00 A and I₂ = 3.00 A in
opposite directions as in Figure
P19.65. (a) If r₁ = 12.0 cm and
r₂ = 9.00 cm, what are (a) the
magnitude and (b) the direction
of the net magnetic field at the
center of the two loops? (c) Let r₁
remain fixed at 12.0 cm and let r₂
be a variable. Determine the value of r₂ such that the net field
at the center of the loop is zero.

Expert Solution

Step 1

the net magnetic field is ,

Step 2

substitute the known values,

(47×10-" N/A?)(5.00 A)
B =
-(47x10-" N/A*)(3.00 A)
10-m
10 m
2(9.00 cm)
2(12.0 cm)
1cm
1cm
= (47x10-" N/A? )(20.83A/m –16.67A/m)
= 5.23x10- T

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