Axons in the brain have smaller diameters than motor neurons; 0.6 μm is a typical value. Most connections are short range, with an average axon length of about 700 μm. The resistivity of the 7-nm-thick axon membrane is approximately 4x1072-m; the dielectric constant is 5. Model the axon as a cylinder. Part A What is the resistance of the axon membrane? Express your answer with the appropriate units. μA R= Value T= What is the time constant of the axon membrane? Express your answer with the appropriate units. μA Units Value d ? Units ?

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Axons in the brain have smaller diameters than
motor neurons; 0.6 μm is a typical value. Most
connections are short range, with an average axon
length of about 700 μm. The resistivity of the
7-nm-thick axon membrane is approximately
4x1072 m; the dielectric constant is 5. Model
the axon as a cylinder.
Part A
What is the resistance of the axon membrane?
Express your answer with the appropriate units.
HÅ
R= Value
T
What is the time constant of the axon membrane?
Express your answer with the appropriate units.
Value
Units
1
?
Units
?
Transcribed Image Text:Axons in the brain have smaller diameters than motor neurons; 0.6 μm is a typical value. Most connections are short range, with an average axon length of about 700 μm. The resistivity of the 7-nm-thick axon membrane is approximately 4x1072 m; the dielectric constant is 5. Model the axon as a cylinder. Part A What is the resistance of the axon membrane? Express your answer with the appropriate units. HÅ R= Value T What is the time constant of the axon membrane? Express your answer with the appropriate units. Value Units 1 ? Units ?
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