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Nerve cells are long, thin cylinders along which electric disturbances (nerve impulses) travel. The cell membrane if a typical nerve cell consists of

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asked 2021-04-22
Nerve cells are long, thin cylinders along which electric disturbances (nerve impulses) travel. The cell membrane if a typical nerve cell consists of an inner and outer wall separated by a distance of \(\displaystyle{0.10}\mu{m}\). The electric field within the cell membrane is \(\displaystyle{7.0}\cdot{10}^{{{5}}}\) N/C. Approximating the cell membrane as a parallel plate capacitor, determine the magnitude of the charge density on the inner and outer cell walls.

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2021-04-24
The cell membrane is approximated as parallel plate capacitorthen the charge density is
\(\displaystyle\sigma=\epsilon_{{{o}}}{E}\) ( E isindependent of distance )
\(\displaystyle={\left({8.825}\cdot{10}^{{-{12}}}\right)}\cdot{\left({7}\cdot{10}^{{{5}}}\right)}\)
\(\displaystyle={6.1775}\cdot{10}^{{-{6}}}\frac{{C}}{{m}^{{{2}}}}\)
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