Cell Membranes and Dielectrics Many cells in the body have a cell membrane whose inner and outer surfaces carry opposite charges, just like the plates of a parallel-plate capacitor. Suppose a typical cell membrane has a thickness of 8.2×10−9 m , and its inner and outer surfaces carry charge densities of -5.3×10−4 C/m2 and +5.3×10−4 C/m2 , respectively. In addition, assume that the material in the cell membrane has a dielectric constant of 5.5.
Part A . Find the direction of the electric field within the cell membrane.
A) into the cell or B) out of the cell
Part B
Find the magnitude of the electric field within the cell membrane. Express your answer using two significant figures.
Cell Membranes and Dielectrics Many cells in the body have a cell membrane whose inner and...
The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. Assume that the membrane acts like a parallel plate capacitor in which the effective charge density on the inner and outer walls has a magnitude of 6.9 × 10-6 C/m2. (a) What is the magnitude of the electric field within the cell membrane? (b) Find the magnitude of the electric force that would be exerted on a potassium ion...
The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. Assume that the membrane acts like a parallel plate capacitor in which the effective charge density on the inner and outer walls has a magnitude of 7.2 × 10-6 C/m2. (a) What is the magnitude of the electric field within the cell membrane? (b) Find the magnitude of the electric force that would be exerted on a potassium ion...
The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. Assume that the membrane acts like a parallel plate capacitor in which the effective charge density on the inner and outer walls has a magnitude of 7.1 10-6 C/m2. (a) What is the magnitude of the electric field within the cell membrane? N/C (b) Find the magnitude of the electric force that would be exerted on a potassium ion...
A cell membrane consists of an inner and outer wall separated by a distance of approximately 10nm. Assume that the walls act like a parallel plate capacitor, each with a charge density of 10-5C/m2, and the outer wall is positively charged. Although unrealistic, assume that the space between cell walls is filled with air. part A: What is the magnitude of the electric field between the membranes? Part B: What is the magnitude of the force on a Mg++ ion...
36. The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. Assume that the membrane acts like a parallel plate capacitor in which the ef- fective charge density on the inner and outer walls has a magnitude of 7.1 x 10-6 C/m2. (a) What is the magnitude of the electric field within pont the cell membrane? (b) Find the magnitude of the electric force that de o would be...
36. E BIO GO The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. Assume that the mem- brane acts like a parallel plate capacitor in which the effective charge density on the inner and outer walls has a magnitude of 7.1 x 106 C/m2. (a) What is the magnitude of the electric field within the cell membrane? (b) Find the magnitude of the electric force that would be...
The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. Assume that the membrane acts like a parallel plate capacitor in which the effective charge density on the inner and outer walls has a magnitude of 7.1x10^-6 C/m^2. What is the magnitude of the electric field within the cell membrane? Then find the magnitude of the electric force that would be exerted on a potassium ion (K+; charge=+e) placed...
Some cell membranes in the human body have a layer of negative charge on the inside surface and a layer of positive charge of equal magnitude on the outside surface. Suppose that the charge density on either surface is ± 0.50×10−3 C/m2, the cell membrane is 5.00 nm thick, and the cell membrane is made up of tissue with a dielectric constant of 5.40. A) Find the magnitude of E in the membrane between the two layers of charge. E=?...
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...
surrounding a living cell consists of an inner and an outer wall that are separated by a small space. Assume that the membrane acts like a parallel plate capacitor in which the effectiv of 6.9 x 10-6 C/m2, (a) what is the magnitode of the electric field within the cel membrane? (b) Find the magnitude of the electric force that would be exerted on a potassium ion (K+; charge " +e) placed inside the membrane. 30 GO exerted on the...