You\'ve got some RG-6 coaxial cable: this is the sort your cable TV box plugs in

Question

You've got some RG-6 coaxial cable: this is the sort your cable TV box plugs into. It's really long, and has an inner wire, and an outer cylindrical shell of radius R. At one end, you connect the shell to the inner conductor. At the other, you hook a battery up so that current flows down the wire to the other end where you've shorted the two, then back up the shell to the battery. If the cable is laid out straight, find the magnetic field B a) at points between the wire and shell, far from the ends; and b) outside the cable. Express it in variable form as a function of current and radial distance.

Explanation / Answer

Magnetic field due to a long straight wire is given by B = uoI/2piR

where i is current enclosed

R is the location where we wish to find Magnetic field

uo is permittivity constant = 4pi e -7

--------------------

part B : Current Enclosded between the Shells = 0

so

magnetic field.B = 0 as i = 0

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