Multiple-Choice Homework Problem 19.2 The cylindrical system of conductors shown

Question

Multiple-Choice Homework Problem 19.2 The cylindrical system of conductors shown to the right s compased of three conductors A, B, and C. The center conductor, A, carries a current I out of the page which is distributed uniformly over its a. This current returns in the two outer conductors The conductor B carries a current I3 into the page nd is infinitely thin. The conductor C carriesa current 21/3 into the page and is infinitely thin Compute the magnitude of the magnetic field in re- sion III radius Select One of the Folowing (a) Bill =0 (b) B111 = (c) BII (d) Bn,- IV (f) Bill = ar Multiple-Choice Honework Problem 19.3 An infinite straight wire with radius r carries a current I uniformy distributed over its cross section. The magnetic field at a distance d magnetic field a distance 2d from the axis of the wire? Both points are INSIDE (2d Is (c)

Explanation / Answer

from amperes law

integrationB*ds = uo*Ienclosed

consider a circle at radial distance c < r < b in the III region

ds = 2*pi*r

B*2*pi*r = uo*(I + I/3)

B = 3*uo*I/6*pi*r)

B = uo*I/(3*pi*r) <<----answer

option f

++++++++++++++

inside the wire

magnetic field due to infinite air B = uo*I*d /(2*pi*r)

B2/B1 = d1/d2

B2/B = 2d/d

B2 = 2B

option (d)

+++++++++++++++++++

area of effective path1 < area of effective path3 < area of effective path2

I1 < I3 < I2

option d

+++++++

emf = l*B*v*sintheta

for maximum emf theta = 90

to the left or to the right

option (b)

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