The cell membrane in a nerve cell has a thickness of 0.12 μm. Approximating the cell membrane as a parallel-plate capacitor with a surface charge density of 5.9 x 10-6C/m², find the electric field within the membrane.
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- Consider two infinite planes of charge. One coincides with the x-y plane and has a charge density of +9.5 x 10-12 C/m2. The second plane coincides with the y-z plane and has a charge density of -9.5 x 10-12 C/m2. Calculate the magnitude of electric field, in N/C, at any location that is not on the x-y or y-z planes. Use ε 0 = 8.9 x 10-12 F/m. (Please answer to the fourth decimal place - i.e 14.3225)The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. Assumne 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 7.1x 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 (K*; charge = +e) placed inside the membrane. (a) Number Units (b) Number UnitsA uniform electric field 3.41E3 N/C is applied in a cubic box with each side being 2.23 m long. What is the energy stored by the electric field in the box (in J)?
- An isolated charged conducting sphere has a radius R = 13.0 cm. At a distance of r = 24.0 cm from the center of the sphere the electric field due to the sphere has a magnitude of E = 4.90 × 104 N/C. (a) What is its surface charge density (in µC/m²)? μC/m² (b) What is its capacitance (in pF)? pF (c) What If? A larger sphere of radius 26.0 cm is now added so as to be concentric with the first sphere. What is the capacitance (in pF) of the two-sphere system? pFThe cell membrane is to be considered a thin layer enveloping a cell. In the static case, the membrane has a charge distribution of -2.5x10−6 C/m2 on the inner surface and +2.5x10−6 C/m2 on the outer surface. [Assume 0 net charge enclosed within the cell from the center to but not including the interior of the cell membrane.] i. Is there any electric field OUTSIDE of the cell? If non-zero, calculate the electric field magnitude. ii. Is there any electric field within the cell membrane? If non-zero, calculate the electric field magnitude.Two pieces of tape are stuck together, and then ripped apart, forming an electric dipole with one piece of tape at +0.20nC, the other at -0.20nC, held 3.0cm apart from each other. What is the electric field at a point positioned 10.0cm from the positive charge and 13.0cm from the negative? If a capacitor has an electric field with a magnitude of 1 microNewton/Coulomb exactly halfway between its positive and negative plates, which are each one square meter, then how much charge is on its positive plate? please provide correct significant figures in answer.
- 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 6.8 × 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 (K+; charge = +e) placed inside the membrane.parallel-plate capacitors are widely used in electronics such as preventing direct current leakage. An electric field is generated between a pair of plates that has a surface charge density of 7.70 x 10^-6 C/m^2 The plates are seperated by 0.49 um. a) what is the magnitude of the electric field between the plates ? b) suppose the thickness of the plates doubled, would my answer increase, decrease, or remain the same?Red blood cells can be modeled as spheres of 7.03 µm diameter with -2.55 × 10-12 C excess charge uniformly distributed over the surface. Find the electric field at the following locations, with radially outward defined as the positive direction and radially inward defined as the negative direction. The permittivity of free space eo is 8.85 × 10-12 C/(V-m). What is the electric field Éj inside the cell at a distance of 3.25 µm from the center?