EBK COLLEGE PHYSICS
3rd Edition
ISBN: 9780321989246
Author: Knight
Publisher: PEARSON CO
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Question
Chapter 25, Problem 61GP
a.
To determine
The energy dissipated in the loop.
b.
To determine
The increase in the tissue temperature.
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In Figure P19.2, assume in each case the velocity vector shownis replaced with a wire carrying a current in the direction ofthe velocity vector. For each case, find the direction of themagnetic force acting on the wire.
Pr3. A long, cylindrical wire has the cross-section of an annulus, i.e. region between two
concentric circles, see the shaded area in figure a). The outer radius of the wire is 2R, the inner
diameter is R. Current I flows along the wire (perpendicularly into the page) in uniform distribution
between radii R and 2R.
a)
b)
×I
R
R
P
2R
2R
a) Find and plot the magnitude of the magnetic field as a function of distance r from the
symmetry axis of the wire.
b) Suppose now that the cavity of radius R is not coaxial with the outer surface of the wire, as
seen in figure b). Find the magnetic field at point P located in the center of the cavity. The current
distribution in the wire is assumed to be uniform, the value of current is I.
Currents induced by rapid field changes in an MRI
solenoid can, in some cases, heat tissues in the body,
but under normal circumstances the heating is small. We
can do a quick estimate to show this. Consider the "loop"
of muscle tissue shown in the figure. This might be
muscle circling the bone of your arm or leg. Muscle tissue
is not a great conductor, but current will pass through
muscle and so we can consider this a conducting loop
with a rather high resistance. Suppose the magnetic field
along the axis of the loop drops from 1.6 T to 0 T in
0.30 s, as it might in an MRI solenoid.(Figure 1)
Figure
1.0 cm
8.0 cm
1 of 1
Part A
How much energy is dissipated in the loop? Assume that muscle tissue has resistivity 13 2-m, density
1.1 x 10¹ kg/m³, and specific heat 3600 J/(kg-K).
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Submit
Part B
AT=
Request Answer
By how much will the temperature of the tissue increase?
197 ΑΣΦ
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Chapter 25 Solutions
EBK COLLEGE PHYSICS
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