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

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 $0.10\mu m$. The electric field within the cell membrane is $7.0\cdot {10}^{5}$ 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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aprovard
The cell membrane is approximated as parallel plate capacitorthen the charge density is
$\sigma ={ϵ}_{o}E$ ( E isindependent of distance )
$=\left(8.825\cdot {10}^{-12}\right)\cdot \left(7\cdot {10}^{5}\right)$
$=6.1775\cdot {10}^{-6}\frac{C}{{m}^{2}}$