A cell membrane has both a resistance and a capacitance and thus a characteristi

Question

A cell membrane has both a resistance and a capacitance and thus a characteristic time constant. A 5.6 x 10^-3 cm diameter speherical cell is surrounded by 0.89 mm think membrane.the resistivity of cell membrane can be assumed as 8.8x10^6 ohm. And the dielectric constant is 8.0 What is the resistance of the cell membrane What is the capacitance of the cell meme brave What is the time constant of the cell membrane A cell membrane has both a resistance and a capacitance and thus a characteristic time constant. A 5.6 x 10^-3 cm diameter speherical cell is surrounded by 0.89 mm think membrane.the resistivity of cell membrane can be assumed as 8.8x10^6 ohm. And the dielectric constant is 8.0 What is the resistance of the cell membrane What is the capacitance of the cell meme brave What is the time constant of the cell membrane What is the resistance of the cell membrane What is the capacitance of the cell meme brave What is the time constant of the cell membrane

Explanation / Answer

resistance = ?l/A = ?l/4?r2

R = 8.8* 106  * 5.6 * 10-5 / 4 * 3.14 * 2.82 * 10-10

= 5.004 * 1015 ohm

C= ?o?rA/d = 8.854 * 10-12 * 8*4 * 3.14 * 2.82 * 10-10 / 5.6 * 10-5

= 6,974.8553728 * 10 -12-10+5 / 5.6

= 12.46 * 10 -15 C

time constant = RC = 62.34984 ohm.F

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