7) Currents induced by rapid field changes in an MRI solenoid can, in some cases, heat tissue in the body, but under normal circumstances the heating is small. Consider a "loop" of muscle encircling the bone of your arm that is made up of a single strand 8.0 cm long and 1.0 cm in diameter. Muscle tissue is not a great conductor, but current will pass through it 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 0.0 T in 0.30 s, as it might in an MRI solenoid. Assume that the muscle tissue has resistivity of p= 13 Qm, density of D = 1.1 x 10° kg/m', and specific heat capacity of c= 3600 J/kgK. a) How much energy is dissipated in the loop?
7) Currents induced by rapid field changes in an MRI solenoid can, in some cases, heat tissue in the body, but under normal circumstances the heating is small. Consider a "loop" of muscle encircling the bone of your arm that is made up of a single strand 8.0 cm long and 1.0 cm in diameter. Muscle tissue is not a great conductor, but current will pass through it 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 0.0 T in 0.30 s, as it might in an MRI solenoid. Assume that the muscle tissue has resistivity of p= 13 Qm, density of D = 1.1 x 10° kg/m', and specific heat capacity of c= 3600 J/kgK. a) How much energy is dissipated in the loop?
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Currents induced by rapid field changes in an MRI solenoid can, in some cases, heat tissue in
the body, but under normal circumstances the heating is small. Consider a “loop" of muscle
encircling the bone of your arm that is made up of a single strand 8.0 cm long and 1.0 cm in
diameter. Muscle tissue is not a great conductor, but current will pass through it 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 0.0 T in 0.30 s, as it might in an MRI solenoid. Assume
that the muscle tissue has resistivity of p = 13 Qm, density of D = 1.1 x 103 kg/m³, and specific
heat capacity of c = 3600 J/kg K.
a)
How much energy is dissipated in the loop?
b)
By how much will the temperature of the tissue increase?
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