(i) Using the Ampere's Law, find the magnetic field of an infinitely long straight hollow wire with inner radius a and outer radius b, and carrying a current I surrounded by a thin cylindrical shell of radius c (coaxial to the wire) carrying current –I at (i) p< a, (ii) a c.

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(i) Using the Ampere's Law, find the magnetic field of an infinitely long straight hollow wire
with inner radius a and outer radius b, and carrying a current I surrounded by a thin
cylindrical shell of radius c (coaxial to the wire) carrying current –I at (i) p< a, (ii) a < p<b,
(iii) b < p<c and (iv) p> c.
(ii) Find the magnetic potential energy of the system.
(iii) Using Eqs. (5-148) and (5-149), find the vector potential at (i) p< a, (ii) a < p< b, (iii)
b<p<c and (iv) p> c.
Transcribed Image Text:(i) Using the Ampere's Law, find the magnetic field of an infinitely long straight hollow wire with inner radius a and outer radius b, and carrying a current I surrounded by a thin cylindrical shell of radius c (coaxial to the wire) carrying current –I at (i) p< a, (ii) a < p<b, (iii) b < p<c and (iv) p> c. (ii) Find the magnetic potential energy of the system. (iii) Using Eqs. (5-148) and (5-149), find the vector potential at (i) p< a, (ii) a < p< b, (iii) b<p<c and (iv) p> c.
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