The membrane that surrounds a certain type of living cell has a surface area of

Question

The membrane that surrounds a certain type of living cell has a surface area of 6.0 x 10 m2 and a thickness of 1.2 x 10P m. Assume that the membrane behaves like a parallel plate membrane is +59.4 mV greater than that on the inside surface. How much charge resides on the outer surface? (b) If the charge in part (a) is due to K lons (charge +e), how many such ions are present on the outer surface? capacitor ard has a dielectric constant of 49. (a) The potential on the outer surface of t Units Units By accessing this question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor.

Explanation / Answer

here,

area , A = 6 * 10^-9 m^2

thickness , d = 1.2 * 10^-8 m

K = 4.9

the capacitance , C = area * K * e0 /d

C = 6 * 10^-9 * 4.9 * 8.85 * 10^-12 /(1.2 * 10^-8) F

C = 2.17 * 10^-11 F

V = 59.4 mV = 0.0594 V

a)

the charge on the outer surface , Q = C * V

Q = 2.17 * 10^-11 * 0.0594 C

Q = 1.29 * 10^-12 C

b)

the number of charges , N = Q/e

N = 8 * 10^6 charges

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