ot13 Week 4 Communities and The Expert TAI Human-lik The Expert TAI Humai × http

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ot13 Week 4 Communities and The Expert TAI Human-lik The Expert TAI Humai × https/usq4Stx. theexpertta Assignment-3 Begn Date: 5/6/2018 12:01:00 AM le Solved A 250-m segre (32%) Problem 2: The magnetic field of a proton is relatively close to that of a circ carrying 1.05 x 10' A. An MRI machine needs to be able to manipulate these fields. ular current loop 0.650 10'15 m in radius sios Part a To see w loop-per-meter circular coil 0.660 m in radius to produce a 1.20 T field (typical of an MRI instrument) at its center with no iron insert. hy an MRI utilizes iron to increase the magnetic field produced by a coil, calculate the curent 10044 coso sin0 cotan asin atan acotan sinh0 coshO tanh)cotanh Late Pedeatial 75% Attempts reining 10 (5% per attempt) detailed ven O Radians Hinthaet Hints: 1 deduction per hint. Hints remaining:3 the 50% Part (b) what is the field at the center of a proton? Notice how t compares to he feld we wed R 557 PM /20/2018

Explanation / Answer

(A) B = u0 n I

putting values,

1.20 = (4pi x 10^-7) (400 ) (I)

I = 2387 A

(B) B = u0 I / 2 R

B = (4pi x 10^-7) (1.04 x 10^4) / 2(0.650 x 10^-15)

B = 1 x 10^13 T

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