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Suppose you have an infinitely long cylindrical current carrying wire with radius a=19cm. The current density of the wire is J=cr2/a2 where c=7A/m2 is a constant.

a)Find the enclosed current at radial distance r=(0.4a)cm.
b)Find the magnitude of magnetic field at radial distance r=(0.4a)cm.
c)Find the magnitude of magnetic field at radial distance d=63cm.

Now, consider a finite wire of length L=6cm which has the same current density as the infinite wire. This finite wire is made into a circular loop.

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

 

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