General Physics, 2nd Edition
General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 18, Problem 1RQ
To determine

Comparing between telephone cable and an axon.

Expert Solution & Answer
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Answer to Problem 1RQ

Compared to a telephone cable, an axon has much more resistance, is much more poorly insulated, and needs much more frequent amplification.

Explanation of Solution

Write the expression or the resistance of the axoplasm

R=ρ0lπr2        (I)

Here, R is the resistance, ρ0 is the resistivity, l is the length, r is the radius.

Conclusion:

Substitute, 2Ω-m for ρ0, 1cm for l, 2μm for r in equation (I) to find R.

R=(2Ω-m)[(1cm)(1×102m1cm)]π[(2μm)(1×106m1μm)]2=1.59×109Ω

Here. The resistance of axon is equal to the resistance of telephone cable which contains 70 km of number 40 copper wire.

Thus, Compared to a telephone cable, an axon has much more resistance, is much more poorly insulated, and needs much more frequent amplification.

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