Question

Problem 3 (5 points): The membrane that surrounds a certain type of living cell has a surface area of 5.0x109 m2 and a thickness of 1.0 x108 m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant K 5.0. The potential difference between the inner surface of the membrane and the outer surface is +60mV, i.e. outer surface is at higher potential. a) Calculate the capacitance of the membrane. (1) b) How much charge resides on the outer surface of the membrane? (1) c) Calculate the magnitude of the electric field inside the membrane. (1) d) Calculate the work required to move a potassium ion (charge +1.60x1019 C) from the inner surface of the membrane to the outer surface of the membrane. (1) e) Calculate the energy stored in the membrane. (1)

Answer 1

んelute constants k: 5.0 Potential dlleterne 60mW- 0.06V - 12 12-2135x10,di F 6562 x 1 611.3281 x16 12 @ 勁6 k d

-19 10 6 =|192x10-13 2