Suppose you have an infinitely long cylindrical current carrying wire with radius a=24cm. The current density of the wire is J=cr2a2 where c=5A/m2 is a constant. a)Find the enclosed current at radial distance r=(0.5a)cm. b)Find the magnitude of magnetic field at radial distance r=(0.5a)cm. c)Find the magnitude of magnetic field at radial distance d=78cm.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section22.7: The Biot–savart Law
Problem 22.4QQ: Consider the magnetic field due to the current in the wire shown in Figure 22.24. Rank the points A,...
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Suppose you have an infinitely long cylindrical current carrying wire with radius a=24cm. The current density of the wire is J=cr2a2 where c=5A/m2 is a constant.

a)Find the enclosed current at radial distance r=(0.5a)cm.

b)Find the magnitude of magnetic field at radial distance r=(0.5a)cm.

c)Find the magnitude of magnetic field at radial distance d=78cm.

Now, consider a finite wire of length L=10cm which has the same current density as the infinite wire. This finite wire is made into a loop.

d)Find the magnitude of magnetic field at the center of the loop.

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