The membrane that surrounds a certain type of living cell has a surface area of 7.3 x 10-9 m² and a thickness of 1.3x 108 m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 5.5. (a) The potential on the outer surface of the membrane is +75.4 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* ions (charge +e), how many such ions are present on the outer Curfaco?
The membrane that surrounds a certain type of living cell has a surface area of 7.3 x 10-9 m² and a thickness of 1.3x 108 m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 5.5. (a) The potential on the outer surface of the membrane is +75.4 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* ions (charge +e), how many such ions are present on the outer Curfaco?
College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Question
Transcribed Image Text:The membrane that surrounds a certain type of living cell has a surface area of 7.3 x 10° m² and a
thickness of 1.3x 108 m. Assume that the membrane behaves like a parallel plate capacitor and has
a dielectric constant of 5.5. (a) The potential on the outer surface of the membrane is +75.4 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* ions (charge +e), how many such ions are present on the outer
surface?
Expert Solution
Step 1
Given
Area A = 7.3 × 10-9 m2
Thickness d = 1.3 × 10-8 m
Dielectric constant k = 5.5
Potential difference V = 75.4 mV
= 75.4 × 10-3 V
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