(c) Sketch an equipotential surface at a distance r from a point charge q, and state the magnitude of the work done in moving a small test charge along that surface. The membrane that surrounds a certain type of living cell has a surface area of 4.1 x 10¯9 m 2 and a thickness of 1.5 x 10¯8 m. Assume that the sides of the membrane behave like a pair of equipotential surfaces, with a material of dielectric constant 5.2 between them. If the potential on the outer surface of the membrane is +86.9 mV greater than that on the inside surface, determine how much charge resides on the outside surface. [7 marks]
(c) Sketch an equipotential surface at a distance r from a point charge q, and state the magnitude of the work done in moving a small test charge along that surface. The membrane that surrounds a cert...
The membrane that surrounds a certain type of living cell has a surface area of 4.2 x 10-9 m2 and a thickness of 1.3 x 10-8 m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 5.0. (a) The potential on the outer surface of the membrane is +78.7 mV greater than that on the inside surface. How much charge resides on the outer surface? (b) If the charge in part (a) is...
The membrane that surrounds a certain type of living cell has a surface area of 6.5 x 10-9 m2 and a thickness of 1.9 x 10-8 m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 4.9. (a) The potential on the outer surface of the membrane is +88.6 mV greater than that on the inside surface. How much charge resides on the outer surface? (b) If the charge in part (a) is...
The membrane that surrounds a certain type of living cell has a surface area of 4.70 x 10-9 m2 and a thickness of 9.60 x 10-9 m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 5.40 (a) The potential on the outer surface of the membrane is +62.4 mv greater than that on the inside surface. How much charge resides on the outer surface? 1.11e-12X (b) If the charge in part (a》...
The membrane that surrounds a certain type of living cell has a surface area of 4.70 x 10-9 m2 and a thickness of 9.60 x 10-9 m. Assume that the membrane behaves like a parallel plate capacitor and has a dielectric constant of 5.40 (a) The potential on the outer surface of the membrane is +62.4 mv greater than that on the inside surface. How much charge resides on the outer surface? 1.11e-12X (b) If the charge in part (a》...
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...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...