The nerve cell membrane has both resistance and capacitance therefore it can be modeled as an RC circuit. If the resistance of the cell wall is 3.2 x 107 Ω and its capacitance is 8.9 x 10-11 F, what is the time constant of the system?

The nerve cell membrane has both resistance and capacitance therefore it can be modeled as an RC circuit. If the resistance of the cell wall is 3.2 x 107 Ω and its capacitance is 8.9 x 10-11 F, what is the time constant of the system?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

The nerve cell membrane has both resistance
and capacitance therefore it can be modeled
as an RC circuit. If the resistance of the cell
wall is 3.2 x 107
Ω
and its capacitance is 8.9 x 10-11 F, what is
the time constant of the system?
Provide the solution:
x 10-3 s
S

Expert Solution

Step 1

Given data:

Resistance (R) = $3.2 \times 10^{7} O h m$

Capacitance (C) = $8.9 \times 10^{- 11} F$

Formula :

Time constant , $τ = R C$ ----Eqn(1)

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