Problem 36 :
The electric field at any point due to an infinite sheet of charge density is given by
Where,
And the electric field inside the capacitor made by infinite sheets is given by
Given,
(a) So, magnitude of electric field within the membrane is
(b) The force on a charge q inside an electric field E is given by
As the potassium ion has charge ' +e ' , so the magnitude of force exerted on the potassium due to the field of the membrane is
Problem 30 :
(a) Given, the object has charge of +10.0 x 10-6 C and the force exerted on it is 50.0 x 10-6 N .
We have,
So,
or,
And the direction of electric field will be same as the direction of force i.e. due east.
(b) Given, the object has charge of -25.0 x 10-6 C and the force exerted on it is 10.0 x 10-6 N .
So,
The negative sign is indicating the the direction of electric field is in the opposite direction of the force.
Hence, the electric field has magnitude 0.4 N and has a direction towards east (opposite of west) .
For any doubt please comment and please give an up vote. Thank you.
surrounding a living cell consists of an inner and an outer wall that are separated by...
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...
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...
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...
Chapter 18, Problem 36 Go The membrane surraundin ng 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 7.0 x 10 C /m. (a) What is the magnitude of the electric field within the cell membrane? (b) Find potassium ion (K; charge - +e) placed...
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...
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...
acquires the same negatiye charge due to the addition of electrons. As a result, each object experiences an electrostatic force that has a nm did it take to produce the charge on one of the objects? 1 x 10 m. The objects are intially electrically neutral and are very small compared to the distance between them. Each object agnitude of 2.05 x 102 N. How many electrons Number 6e-38 exact number, no tolerance exact Chapter 18, Problem 36 GO cell...