A coaxial cable has an inner conducting wire carrying current Ii = 5.0 A and an

Question

A coaxial cable has an inner conducting wire carrying current Ii = 5.0 A and an outer conducting layer carrying current Io = 10.0 A. The inner cable has a radius of 0.5 cm and the outer conducting layer has a radius of 1.0 cm. There is air in between the two conductors.

a) Using Ampere’s Law, determine the magnitude and direction of the magnetic field at a distance of 0.6 cm from the center.

b) Using Ampere’s Law, determine the magnitude and direction of the magnetic field at a distance of 1.2 cm from the center?

Explanation / Answer

The diagram is not given.   (or) current directions are not given Let us   assume   inner conducting wire has current direction into the page                     outer Conducting wire has current direction out of the page      (a) magnetic field    B = 0I / 2r             Here r = 0.006 m           I   =   current enclosed =    0.5A      B =   ( 4*10-7 H /m)   ( 5 A) / (2 (0.006m =   1.67*10-4 T        Direction is clock wise direction (b)    magnetic field    B = 0I / 2r             Here r = 0.012 m           I   =   current enclosed = ( 10 A - 5A)   = 5A           B =   ( 4*10-7 H /m)   ( 0.5A)   / (2 (0.012) =   0.833 *10-4T           Direction is clock wise direction                      Here r = 0.012 m           I   =   current enclosed = ( 10 A - 5A)   = 5A           B =   ( 4*10-7 H /m)   ( 0.5A)   / (2 (0.012) =   0.833 *10-4T           Direction is clock wise direction           

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