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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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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.

$$\displaystyle\sigma=\epsilon_{{{o}}}{E}$$ ( E isindependent of distance )
$$\displaystyle={\left({8.825}\cdot{10}^{{-{12}}}\right)}\cdot{\left({7}\cdot{10}^{{{5}}}\right)}$$
$$\displaystyle={6.1775}\cdot{10}^{{-{6}}}\frac{{C}}{{m}^{{{2}}}}$$