When a nerve cell fires, a charge is transferred across the cell membrane to change the cell's potential from negative to positive. For a typical nerve cell, 9.0 pC of charge flows in a time of 0.47 ms.
What is the average current through the cell membrane?

Respuesta :

Explanation:

The given data is as follows.

      q = 9.0 pC = [tex]9 \times 10^{-12} C[/tex]    (as 1 pC = [tex]10^{-12} C[/tex])

      t = 0.47 ms = [tex]0.47 \times 10^{-3} s[/tex]  (as 1 ms = [tex]10^{-3} sec[/tex])

As we know that relation between charge and current is as follows.

             I = [tex]\frac{q}{t}[/tex]

Putting the given values into the above formula as follows.

             I = [tex]\frac{q}{t}[/tex]

               = [tex]\frac{9 \times 10^{-12} C}{0.47 \times 10^{-3} s}[/tex]

               = [tex]19.14 \times 10^{-9} A[/tex]

or,           = 19.14 nA

Thus, we can conclude that the average current through the cell membrane is 19.14 nA.