Nerve impulses are carried along axons, the elongated fibers that transmit neural signals. We can model an axon as a tube with an inner diameter of 10 μm. The tube wall is insulated, but the fluid inside it has a resistivity of 0.50 Ω⋅m. What is the resistance of a 2.0-mm-long axon?

The resistance of the axon is .

Explanation:

Given that,

Inner diameter of the model of an axon,

Radius of the model,

Resistivity of the fluid inside the tube wall,

Length of the axon, l = 2 mm = 0.002 m

We know that the resistance in terms of resistivity of an object is given by :

So, the resistance of the axon is . Hence, this is the required solution.

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