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The membrane of the axon of a nerve cell is a thin cylindrical shell of radius r = 10-5 m, length L = 0.21 m, and thickness d = 10-8 m. The membrane has a positive charge on one side and a negative charge on the other, and acts as a parallel-plate capacitor of area A = 2prL and separation d. Its dielectric constant is about ? = 6.

(a) Find the capacitance of the membrane. (nF)

(b) If the potential difference across the membrane is 50 mV, find the charge on each side of the membrane. (nC)

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