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32.80 Part A Find expressions for the magnetic field within the inner conductor.

ID: 1264820 • Letter: 3

Question



32.80

Part A

Find expressions for the magnetic field within the inner conductor. Express your answer in terms of the variables r, R1, R2, I, and appropriate constants.
your answer B ( r < R1) = .............

Part B

Find expressions for the magnetic field in the space between the conductors. Express your answer in terms of the variables r, R1, R2, I, and appropriate constants.
your answer: B (R1 < r < R2) =...................

Part C

Find expressions for the magnetic field outside the outer conductor. Express your answer in terms of the variables r, R1, R2, I, and appropriate constants.
your answer: B (r > R2) = .................

Please show me the formula you used becuse I need to understand it. The answered must be submitted today no late than 11:59 pm.

32.80 The coaxial cable shown in the figure consists of a solid inner conductor of radius R1 surrounded by a hollow, very thin outer conductor of radius R2. The two carry equal currentsI, but in opposite directions. The current density is uniformly distributed over each conductor.? Part A Find expressions for the magnetic field within the inner conductor. Express your answer in terms of the variables r, R1, R2, I, and appropriate constants. your answer B ( r

Explanation / Answer

For the inside conductor, inside the conductor
?B.dl=u0i (Ampere's law)

B=u0ri/2? (R1)2 where r is the distance from the centre of the conductor to the edge of the inner conductor.

For the zone between conductors
B=u0I/2?r
for the area outside the conductors (inner and outer), B=0

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