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 as shown below. 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

(a) the 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  anticlock wise direction (b)    the 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   anticlock 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   anticlock wise direction

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