Question

Shown in the figure below is a long hollow wire. The wire has an inner radius of a, an outer radius of b, and is carrying a current of I. Region I Region II Region III (r>b) (b>r>a) (r<a) infinite length Infinite Hollow Wire carrying Current Use Ampere's Law to determine the magnetic field in each of these three regions as a function of r: • Region 1 (b): • Region II (a<r<b): o What is the length of the Ampere path? o What is the current enclosed by your path? . What is the magnetic field? • Region III (ra): In Region II, which way is the magnetic field oriented? To the bottom of the screen O Clockwise as viewed from the left O Into the screen O To the right O To the Left O Counter-Clockwise as viewed from the left O Out of the screen O To the top of the screen NOTE: The area of a circle with a hole missing is: n(router? - Cinner?

Answer 1

region I for rob 2 & Bode = lo i enclosed li BRTIX = lol B = lo I 2TIX region 11 alrlb length = 2ti8 current enclosed = I (8²ah) = I (820) Ti (6²_q2) b²-92 magnetic field B2718 = lo I (8²02) 5-02 B = lo I (82_q²) 2T18 (62_92) region II rca B 2T18 = leo I enclosed = 0 B=0 in region I magnetic field orientation Counter clockwise as to viewed from left