The electric potential difference across the membrane of a body cell is 0.070 V (higher on the outside than on the inside). The cell membrane is 8.0 x 10-9 m thick. Determine the magnitude and direction of the E field through the cell membrane. Describe any assumptions you made

Respuesta :

Answer:

The electric field is [tex]8.75 \times 10^{6}~v~m^{-1}[/tex] and the ditection is from outer to inner side of the membrane.

Explanation:

We know the electric field ([tex]\vec{E}[/tex]) is given by [tex]\vec{E} = - \nabla V[/tex], 'V' being the potential.

In 1-D, it can be written as

[tex]E=\dfrac{V}{d}[/tex]

where 'd' is the separation of space in between the potential difference is created.

Given, [tex]V = 0.070~V~[/tex] and the thickness of the cell membrane is [tex]d = 8.0 \times 10^{-9}~m[/tex].

Therefore the created electric field through the cell membrane is

[tex]E = \dfrac{0.07~V}{8 \times 10^{-9}~m} = 8.75 \times 10^{6}~m~s^{-1}[/tex]