61. III Currents induced by rapid BIO field changes in an MRI sole- INT noid can, in some cases, heat 8.0 cm tissues in the body, but under 1.0 cm normal circumstances the FIGURE P25.61 heating is small. We can do a quick estimate to show this. Consider the "loop" of muscle tis- sue shown in Figure P25.61. 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 O T in 0.30 s, as it might in an MRI solenoid. a. How much energy is dissipated in the loop? b. By how much will the temperature of the tissue increase? Assume that muscle tissue has resistivity 13 N•m, density 1.1 × 10° kg/m³, and specific heat 3600 J/kg • K.

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Chapter16: Electromagnetic Waves
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CH 25 / P 61

61. I| Currents induced by rapid
BIO field changes in an MRI sole-
INI noid can, in some cases, heat
tissues in the body, but under
circumstances
8.0 cm
1.0 cm
normal
the FIGURE P25.61
heating is small. We can do a
quick estimate to show this. Consider the "loop" of muscle tis-
sue shown in Figure P25.61. 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
OT in 0.30 s, as it might in an MRI solenoid.
a. How much energy is dissipated in the loop?
b. By how much will the temperature of the tissue increase?
Assume that muscle tissue has resistivity 13 N•m, density
1.1 × 10° kg/m³, and specific heat 3600 J/kg · K.
Transcribed Image Text:61. I| Currents induced by rapid BIO field changes in an MRI sole- INI noid can, in some cases, heat tissues in the body, but under circumstances 8.0 cm 1.0 cm normal the FIGURE P25.61 heating is small. We can do a quick estimate to show this. Consider the "loop" of muscle tis- sue shown in Figure P25.61. 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 OT in 0.30 s, as it might in an MRI solenoid. a. How much energy is dissipated in the loop? b. By how much will the temperature of the tissue increase? Assume that muscle tissue has resistivity 13 N•m, density 1.1 × 10° kg/m³, and specific heat 3600 J/kg · K.
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