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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 Tin 0.30 s, as it might in an MRI solenoid.(Figure 1) Figure 1.0 cm 8.0 cm 1 of 1 How much energy is dissipated in the loop? Assume that muscle tissue has resistivity 13 ft-m, density 1.1 x 10¹ kg/m³, and specific heat 3600 J/(kg-K). VG ΑΣΦΑ W Submit Part B AT= Request Answer By how much will the temperature of the tissue increase? Submit 15. ΑΣΦΑ Request Answer ? → J K

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 Tin 0.30 s, as it might in an MRI solenoid.(Figure 1) Figure 1.0 cm 8.0 cm 1 of 1 How much energy is dissipated in the loop? Assume that muscle tissue has resistivity 13 ft-m, density 1.1 x 10¹ kg/m³, and specific heat 3600 J/(kg-K). VG ΑΣΦΑ W Submit Part B AT= Request Answer By how much will the temperature of the tissue increase? Submit 15. ΑΣΦΑ Request Answer ? → J K

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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). 196) ΑΣΦΑ W = Submit Part B AT= Request Answer By how much will the temperature of the tissue increase? 197 ΑΣΦ Submit ? Request Answer ? J K
Transcribed Image Text: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). 196) ΑΣΦΑ W = Submit Part B AT= Request Answer By how much will the temperature of the tissue increase? 197 ΑΣΦ Submit ? Request Answer ? J K
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