An axon is a long, slender projection of a nerve cell, or neuron e , that...
Suppose that we have an axon that is 10 cm long, with an inner radius r1 of 1 μm and outer radius r2 = r1+ 1nm = 1 μm + 1nm. In this exercise, you may use a dielectric constant for cellular fluid of κ = 3. Write an expression for the magnitude of the Electric Field, “E” outside (at an arbitrary radius r) for a uniformly charged cylinder of length “l” with charge “q”: This cylinder is in a...
The long thin cylindrical axon of a nerve carries nerve impulses. The axon can be as long as 1 m. A) Estimate the capacitance of a 1.0-m-long axon of radius 3.9 ×10−6 m with a membrane thickness of 7.6 ×10−9 m. The dielectric constant of the membrane material is about 6.0. B)Determine the magnitude of the charge on the inside (negative) and outside (positive) of the membrane wall if there is a 0.065-V potential difference across the wall. C)Determine the...
The long thin cylindrical axon of a nerve carries nerve impulses. The axon can be as long as 1 m A) Estimate the capacitance of a 1.0-m-long axon of radius 4.2 ×10−6 m with a membrane thickness of 8.2 ×10−9 m. The dielectric constant of the membrane material is about 6.0? B) Determine the magnitude of the charge on the inside (negative) and outside (positive) of the membrane wall if there is a 0.079-V potential difference across the wall? C)...
The long thin cylindrical axon of a nerve carries nerve impulses. The axon can be as long as 1 m. a. Estimate the capacitance of a 1.0-m-long axon of radius 3.9 ×10−6 m with a membrane thickness of 7.2 ×10−9 m. The dielectric constant of the membrane material is about 6.0. b. Determine the magnitude of the charge on the inside (negative) and outside (positive) of the membrane wall if there is a 0.077-V potential difference across the wall. c....
The long thin cylindrical axon of a nerve carries nerve impulses. The axon can be as long as 1 m. A) Estimate the capacitance of a 1.0-m-long axon of radius 3.9 ×10−6 m with a membrane thickness of 7.6 ×10−9 m. The dielectric constant of the membrane material is about 6.0. the answer is not 2.8534x10^-8 F B)Determine the magnitude of the charge on the inside (negative) and outside (positive) of the membrane wall if there is a 0.065-V potential...
The membrane of
the axon of a nerve cell is a thin cylindrical shell of radius r-
10 m, length L 0.48 m, and thickness d 108 m. The membrane has a
positive charge on one side and a negative charge on the other, and
acts as a parallel plate capacitor of area A 2arL and separation d.
Its dielectric constant is about 7.
Tipler6 24,P.067. 1 2 3 The membrane of the axon of a nerve cell is a...
The figure to the right shows a cylindrical capacitor with inner radius b and outer radius a. Between the cylinders (shaded region) is a dielectric of constant k. If the inner cylinder contains charge +Q and out charge -Q determine an expression for: The electric field in the region between the cylinders. The potential difference between in the region between the cylinders. The capacitance of the capacitor. The energy density of the capacitor
please answer question 8-13
This is the prior information: Nerve impulses are electrical
currents in the form of “ionic flows.” Therefore the electrical
properties of the axon are important to understand in order to
understand the flow of electrical impulses. In this test, you will
explore the capacitance and resistivity of an axon of a nerve cell.
For this test, the axon will be treated as a CYLINDER of arbitrary
length “L” and radius “a” that is filled with a...
A.) We'll start with a very long coaxial cable that has two parts. There's a conducting cylindrical inner wire of radius a, and a conducting cylindrical sheath around that with radius b. The space in between (a<r<b) is empty. Let the inner conductor have some linear charge density lambda along its length. Derive an expression for the magnitude of the electric field between the inner and outer conductors as a function of r. B.) Consider the same geometry as the...
A nerve signal is transmitted along the long, thin axon of a neuron in a small fish. The transmission occurs as sodium ions (Na+)transfer like tipping dominos across the axon membrane from outside to inside. Each short section of axon gets an excess of about 6.0×108sodiumions/mm. a. Determine the E⃗ field 4.0 cm from the axon produced by the excess sodium ions on the inside of the axon and an equal number of negative ions on the outside of a 1.0-mm...