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faltersainse
12 days ago
11

If the charge that enters each meter of the axon gets distributed uniformly along it, how many coulombs of charge enter a 0.100

mm length of the axon?
Physics
1 answer:
serg [3.4K]12 days ago
3 0

Answer:

The charge that enters a segment of axon measuring 0.100 mm is 8.98\times 10^{-12} C

Explanation:

The electric field E produced at a certain point by a point charge is expressed as

E=k \frac{q}{r^2}

where k represents the constant =9.0 \times 10^9 Nm^2 / C^2

q denotes the point charge's magnitude, and r is the distance from the point charge

The amount of charge entering one meter of the axon equals 5.\times 10^{11} \times (+e)

The charge that enters a 0.100 mm length of the axon is 5.\times 10^{11} \times (+e) \times (0.1 \times 10^{-3}

by substituting the value of +e=1.6\times 10^{-19} C into the equation above, we find that the charge entering a 0.100 mm segment of the axon is

q=5.\times 10^{11} \times1.6\times 10^{-19} \times (0.1 \times 10^{-3}\\q=8.98\times 10^{-12} C

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