
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question

Transcribed Image Text:**Topic: Modeling a Red Blood Cell as a Spherical Capacitor**
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 101 nm and has a dielectric constant of 5.00.
**(a)** If an average red blood cell has a mass of \( 1.10 \times 10^{-12} \) kg, estimate the volume of the cell and thus find its surface area. The density of blood is \( 1,100 \, \text{kg/m}^3 \).
(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.
- \_\_\_\_\_\_\_\_ F
**(c)** Calculate the charge on the surface of the membrane.
- \_\_\_\_\_\_\_\_ C
**How many electronic charges does the surface charge represent?**
- \_\_\_\_\_\_\_\_
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A capacitor is powered by a voltage of 1.5 V. The plates of this capacitor are 2.0 mm apart and have an area of 360 mm². Determine approximately (a) the capacitance of the capacitor in pF; (b) the total energy stored by the capacitor in pJ. Use ε0 = 8.85x10⁻¹² C²/Nm².arrow_forwardA parallel-plate air-filled capacitor having area 31 cm² and plate spacing 1.2 mm is charged to a potential difference of 810 V. Find (a) the capacitance, (b) the magnitude of the charge on each plate, (c) the stored energy, (d) the electric field between the plates, (e) the energy density between the plates. (a) Number i (b) Number i (c) Number i (d) Number i (e) Number i Units Units Units Units Unitsarrow_forward100 There is a system with four capacitors connected, as shown in Figure P25.10. (a) Calculate the equivalent capacity between points a and b. (b) Find the charge amount of each capacitor when the potential difference AV between points a and bis 15.0 V. 11 (13). Find the equivalent capacitance a 15.0μF 3.00 μF 120.0 με 16: HH 6.00 με Figure P25.10arrow_forward
- A capacitor consists of two large flat parallel plates. One plate has surface charge density 4.96 nC/m2 and the other has an equal but opposite surface charge density. The plates are spaced a distance 8.01 cm apart. Give the magnitude of the voltage (difference in electric potential) between the two plates. Answer in units of V.arrow_forwardAn electronic flash unit for a camera contains a capacitor with a capacitance of 940 µF. When the unit is fully charged and ready for operation the potential difference between the capacitor plates is 430 V. What is the magnitude of the charge on each plate of the fully charged capacitor? Group of answer choices 0.140 C 2.57 C 10.1 C 0.404 Carrow_forwardhelparrow_forward
- Two parallel-plate capacitors C, and C, are connected in parallel to a 12.0 V battery. Both capacitors have the same plate area of 4,10 cm? and plate separation of 2.65 mm. However, the first capacitor C, is filled with air, while the second capacitor C, is filled with a dielectric that has a dielectric constant of 4.00. (a) What is the charge stored on each capacitor? Q1 = pC Q2 = pC (b) What is the total charge stored on the parallel combination? PC Additional Materialsarrow_forwardA 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?arrow_forwardA 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?arrow_forward
- A parallel-plate capacitor in air has a plate separation of 1.58 cm and a plate area of 25.0 cm2. The plates are charged to a potential difference of 270 V and disconnected from the source. The capacitor is then immersed in distilled water. Assume the liquid is an insulator. (a) Determine the charge on the plates before and after immersion. before pC pC after (b) Determine the capacitance and potential difference after immersion. Cf = F AV = V (c) Determine the change in energy of the capacitor. nJ Need Help? Read Itarrow_forwardA potential difference of 90 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?arrow_forwardThe capacitance of an empty capacitor is 1.2 μF. The capacitor is connected to a 12-V battery and charged up. With the capacitor connected to the battery, a slab of dielectric material is inserted between the plates. As a result, 2.6 × 10–5 C of additional charge flows from one plate, through the battery, and onto the other plate. What is the dielectric constant of the material?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON

College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning

University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press

Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning

Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley

College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON