28.56 A coaxial cable carries a current I wire in its inner conducting wire and

Question

28.56

A coaxial cable carries a current Iwire in its inner conducting wire and a current Ishell in its outer conducting shell. The radius of the wire is Rwire, the distance from the cable center to the inside of the shell is Rshell, and the distance from the center to the outer edge of the shell is 2Rshell.

Part A Determine all locations (if any exists) at which the magnetic field magnitude is zero if I wire = I shell. Check all that apply. The magnetic field is zero at the very center of the wire. The magnetic field is zero in the region inside the shell, at a radius r = R shell root 5/2 The magnetic field is zero in the region inside the shell, at a radius r = R shell root 1/2 The magnetic field s zero throughout all of the region outside the shell. There s no location where the magnetic field is zero. Part B Determine all locations (if any exists) at which the magnetic field magnitude is zero if I wire = I shell. Check all that apply. The magnetic field is zero in the region inside the shell, at a radius r = R shell root 5/2 The magnetic field is zero at the very center of the wire. The magnetic field is zero throughout all of the region outside the shell. The magnetic field is zero in the region inside the shell, at a radius r = R shell root 1/2 There is no location where the magnetic field is zero. Part C Determine all locations (if any exists) at which the magnetic field magnitude is zero if I wire = -I shell/2. Check all that apply. The magnetic field is zero throughout all of the region outside the shell. The magnetic field is zero in the region inside the shell, at a radius r = R shell root 1/2 The magnetic field is zero in the region inside the shell, at a radius r = R shell root 5/2 The magnetic field is zero at the very center of the wire. There is no location where the magnetic field is zero.

Explanation / Answer

part a)

since current is in teh samedirection so field will not be zero at any point

part b)

since current is in teh opposite direction, so field will be zero

where field due to shell and wire is equal in magnitude

part c)

in this case current is in opposite direction

field will be zero where field due to shell and wire are equal in amgnitude

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