A physiologist is looking to quantify the charge transfer coefficient, \(S_{k}\), about a nerve bundle that is being tested for a myelin sheath growth hormone. The nerve bundle itself is 1 micron in diameter and \(1 \mathrm{~cm}\) long. The myelin sheath is 0.3 microns thick with a conductivity of \(\sigma_{o}=6.25 \times 10^{-8}\). The physiologist puts a potential of \(0-60 \mathrm{mV}\) across the myelin and records the current. The data are shown below.

a. What is a representative value for \(S_{k}\) in this system?

b. Is the myelin sheath above the critical insulation thickness.

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Current (A) Potential (mV) Current (A) Potential (mV) 0.00488 4.0503e-11 0.03501 2.9051 x 10 10 0.01091 9.0532e-11 0.03992 3.3129 x 10-10 0.01593 1.3220e-10 0.04692 3.8941 x 10 10 0.02181 1.8102e-10 0.49209 4.0838 x 10 09 0.02657 2.2047e-10 0.05298 4.3968 x 10-10 0.02959 2.4560e-10 0.06552 5.4374 x 10 10