Question

3) Electrical model of a cell membrane Consider a piece of cell membrane. The membrane has a specific conductivity of Om = 10-10 (12 cm)', a dielectric constant Em = 8 and thickness dm = 7.5 nm. On both sides of the membrane are two boundary layers with equal specific conductivity Op = OL = 102 (2 cm)-1. The thickness of these layers is dp = 50 nm and di = 100 nm and their capacitance is negligible. a) What is the simplest possible equivalent circuit diagram that captures these electrical characteristics? b) What are the resistance and capacitance that occur in this equivalent circuit diagram if the area of the membrane surface considered is A = 1 um? Assume that the capacitance is that of a parallel plate capacitor.

Answer 1

Dear student,

Find this solution, and RATE IT ,If you find it is helpful .your rating is very important to me.If any incorrectness ,kindly let me know I will rectify them soon.

Thanks for asking ..

um=lolo Lam) = 1010 ml (x10²m] = 108 nlml K=8, d= 7.5x103m, 8=Op = 10² vix (102)= 1 Wm' dp=soxism, de-Iconm = looxTom It is a leaky Capacitor which can be equivalent to a RC- discharging circuit b) A = 1x 106m) ²102 m2 2 3 lo mi Capacitance/o-KEGA - 888.85X10² 103 =9.44x12217) 7.5X10} EXO 1x 10/2 R = Bestystence & left side to lonxit = 10°n) Rp = 1 x de = Sox 12 = 5x108 h Aul R = • Inside resistance of capacitar = 1 / + d = 7.5x10? = 7.5000 W) And А