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Image for c) A 100 mV potential exists across a 5 nm thick bilayer membrane. The dielectric constant of the membrane is

c) A 100 mV potential exists across a 5 nm thick bilayer membrane. The dielectric constant of the membrane is 7. What is the electric field strength inside the membrane? What is the effective charge per unit area on the membrane?

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Answer #1

Electric field E   = Eo/K

so

Eo = V/d

Eo = 0.1/5e-9

Eo   = 2 e7 V/m

so

Enew = 2 e7 /7

Enew = 2.85 *10^6 V/m


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also as E = Q/eoA


Q/A = Eeo

Q/A = 2.85 e 6 * 8.85 e-12

Q/A = 2.52 e-5 C/m^2

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