QuestionDetails: A cell membrane typically has a capacitance around 1 µF/cm.It i

Question

QuestionDetails: A cell membrane typically has a capacitance around 1 µF/cm.It is believed the membrane consists of material having adielectric constant of 3. Find the thickness thisimplies. Other electrical measurements have indicated that theresistance of 1 cm2 of cell membrane is around 1000.

...I already have that the thickness, d = 2.66 x10-9m.

A) Show that the time constant of such a leakycapacitor is independent of the area of the capacitor.
B) How large is it in this case?
C)What is the resistivity? QuestionDetails:

Explanation / Answer

   thickness d = 2.66 x 10-9 m    area of the sphere 4 r2 (a)    the voltage across the capacitor at anytime is given by    V = Vo e-(/RC)    where time constanr = R C    from the above we can see that the timeconstant of such a leaky capacitor is independent of the area ofthe capacitor (c)    resistivity is defined as resistance perunit length     = R A / l    where time constanr = R C    from the above we can see that the timeconstant of such a leaky capacitor is independent of the area ofthe capacitor (c)    resistivity is defined as resistance perunit length     = R A / l

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