There is a spherical neuronal soma with a radius of 35 µm and a resting membrane potential of -60 mV with 7.8 x 107 negatively charged monovalent ions on the inside of the neuronal membrane compared to the outside of the membrane. Please calculate (1) the charge, (2) surface area, (3) membrane capacitance. (1 Coulomb = 6.24 x 10¹⁹ ions.)

There is a spherical neuronal soma with a radius of 35 µm and a resting membrane potential of -60 mV with 7.8 x 107 negatively charged monovalent ions on the inside of the neuronal membrane compared to the outside of the membrane. Please calculate (1) the charge, (2) surface area, (3) membrane capacitance. (1 Coulomb = 6.24 x 10¹⁹ ions.)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A model of a red blood cell portrays the cell as a spherical capacitor, a positively charged liquid sphere of surface area A separated from the surrounding negatively charged fluid by a membrane of thickness t. Tiny electrodes introduced into the interior of the cell show a potential difference of 100 mV across the membrane. The membrane's thickness is estimated to be 96 nm and has a dielectric constant of 5.00. (a) If an average red blood cell has a mass of 1.10 ✕ 10−12 kg, estimate the volume of the cell and thus find its surface area. The density of blood is 1,100 kg/m3. (Assume the volume of blood due to components other than red blood cells is negligible.) volume m3 surface area m2 (b) Estimate the capacitance of the cell by assuming the membrane surfaces act as parallel plates. (c) Calculate the charge on the surface of the membrane. How many electronic charges does the surface charge represent?
Consider the following figure (a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in the figure if C1 = 2.00 microfarad, C2 = 14.00 microfarad, and C3 = 2.00 microfarad. (b) If the potential between points a and b is 60.0 V, what charge is stored on C3?(In microcoulombs)
An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm², separated by a distance of 2.20 mm. If a 17.8-V potential difference is applied to these plates, calculate the following. (a) the electric field between the plates magnitude kv/m direction from the positive plate to the negative plate ✓ (b) the capacitance pF (c) the charge on each plate pC
Both capacitore are iInitlally charged to 68.OV. How long after closing the 1 owitch will the potential aorocs each capaoltor be reduced to 14.OV? 32 µF 24 µF 350 6.22 ma 3.32 ma 5.66 a 4.21 ma 1.42 a UST
(a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in the figure above. Take C1 = 2.00 µF, C2 = 14.0 µF, and C3 = 6.00 µF.(b) What charge is stored on C3 if the potential difference between points a and b is 60.0 V?
Let C, = Cs = 8.4 uF, C2 = C3 = CA= 4.2 µF, and the applied potential Vab = 220 V. (a) What is the equivalent capacitance of the network? (b) What is the charge at capacitor C2? C at C2 Cs C4 be Select one: O a (a) Cag = 53 UF, (b) Q2= 210 µc O b. (a) Cag = 2.5 UF, (b) Q2 = 370 pc O cla) Caq = 5.3 UF, (b) Q2 = 540 µC O d. (a) Cag = 9.5 UF, (b) Q2= 250 pc e. None of these is correct
Two parallel-plate capacitors, 5.2 uF each, are connected in series to a 11 V battery. One of the capacitors is then squeezed so that its plate separation is halved. Because of the squeezing, (a) how much additional charge is transferred to the capacitors by the battery and (b) what is the increase in the sum of the charges: the charge on the positive plate of one capacitor plus the charge on the positive plate of the other capacitor? Give your answers in Coulombs.
A potential difference exists between the inner and outer surfaces of the membrane of a cell. The inner surface is negative relative to the outer surface. If 1.25 x 10^-20 J of work is required to eject a positive sodium ion (Na+) from the interior of the cell, what is the magnitude of the potential difference between the inner and outer surfaces of the cell?
A potential difference of 75 mV exists between the inner and outer surfaces of a cell membrane. The inner surface is negative relative to the outer surface. How much work is required to eject a positive sodium ion (Na+) from the interior of the cell?
If a proton gains 6x10^-12 J of electrical potential energy as it moves from point A to point B, what is the voltage difference between points A and B, and which point is at the higher potential?
11 of 35 > A potential difference exists between the inner and outer surfaces of the membrane of a cell. The inner surface is negative relative to the outer surface. If 1.25 x 10-20 J of work is required to eject a positive sodium ion (Na+) from the interior of the cell, what is the magnitude of the potential difference between the inner and outer surfaces of the cell? magnitude of the potential difference:
Figure 2 shows four capacitors connected in the combination between point A and point B. Given C1 = 12 µF, C2 = 8 µF, C3 =4 µF and C4 = 6 µF. C2 Ci C3 A в Figure 2 If a potential difference of 20.0 V is connected through point A and point B, compute the (i) equivalent capacitance. (ii) total charge stored in the equivalent capacitor.