Ionic Gradients, Membrane Potential and Ionic Currents Constance Hammond
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Electro Magnetic Fields Lecture Notes B.Tech
ELECTRO MAGNETIC FIELDS LECTURE NOTES B.TECH (II YEAR – I SEM) (2019-20) Prepared by: M.KUMARA SWAMY., Asst.Prof Department of Electrical & Electronics Engineering MALLA REDDY COLLEGE OF ENGINEERING & TECHNOLOGY (Autonomous Institution – UGC, Govt. of India) Recognized under 2(f) and 12 (B) of UGC ACT 1956 (Affiliated to JNTUH, Hyderabad, Approved by AICTE - Accredited by NBA & NAAC – ‘A’ Grade - ISO 9001:2015 Certified) Maisammaguda, Dhulapally (Post Via. Kompally), Secunderabad – 500100, Telangana State, India ELECTRO MAGNETIC FIELDS Objectives: • To introduce the concepts of electric field, magnetic field. • Applications of electric and magnetic fields in the development of the theory for power transmission lines and electrical machines. UNIT – I Electrostatics: Electrostatic Fields – Coulomb’s Law – Electric Field Intensity (EFI) – EFI due to a line and a surface charge – Work done in moving a point charge in an electrostatic field – Electric Potential – Properties of potential function – Potential gradient – Gauss’s law – Application of Gauss’s Law – Maxwell’s first law, div ( D )=ρv – Laplace’s and Poison’s equations . Electric dipole – Dipole moment – potential and EFI due to an electric dipole. UNIT – II Dielectrics & Capacitance: Behavior of conductors in an electric field – Conductors and Insulators – Electric field inside a dielectric material – polarization – Dielectric – Conductor and Dielectric – Dielectric boundary conditions – Capacitance – Capacitance of parallel plates – spherical co‐axial capacitors. Current density – conduction and Convection current densities – Ohm’s law in point form – Equation of continuity UNIT – III Magneto Statics: Static magnetic fields – Biot‐Savart’s law – Magnetic field intensity (MFI) – MFI due to a straight current carrying filament – MFI due to circular, square and solenoid current Carrying wire – Relation between magnetic flux and magnetic flux density – Maxwell’s second Equation, div(B)=0, Ampere’s Law & Applications: Ampere’s circuital law and its applications viz. -
Cellular Biology 1
Cellular biology 1 INTRODUCTION • Specialized intracellular membrane-bound organelles (Fig. 1.2), such as mitochondria, Golgi apparatus, endoplasmic reticulum (ER). This chapter is an overview of eukaryotic cells, addressing • Large size (relative to prokaryotic cells). their intracellular organelles and structural components. A basic appreciation of cellular structure and function is important for an understanding of the following chapters’ information concerning metabolism and nutrition. For fur- ther detailed information in this subject area, please refer to EUKARYOTIC ORGANELLES a reference textbook. Nucleus The eukaryotic cell The nucleus is surrounded by a double membrane (nuclear Humans are multicellular eukaryotic organisms. All eukary- envelope). The envelope has multiple pores to allow tran- otic organisms are composed of eukaryotic cells. Eukaryotic sit of material between the nucleus and the cytoplasm. The cells (Fig. 1.1) are defined by the following features: nucleus contains the cell’s genetic material, DNA, organized • A membrane-limited nucleus (the key feature into linear structures known as chromosomes. As well as differentiating eukaryotic cells from prokaryotic cells) chromosomes, irregular zones of densely staining material that contains the cell’s genetic material. are also present. These are the nucleoli, which are responsible Inner nuclear Nucleus membrane Nucleolus Inner Outer Outer mitochondrial nuclear mitochondrial membrane membrane membrane Ribosome Intermembrane space Chromatin Mitochondrial Rough matrix Mitochondrial Nuclear endoplasmic ribosome pore reticulum Crista Mitochondrial mRNA Smooth Vesicle endoplasmic Mitochondrion Circular reticulum mitochondrial Proteins of the DNA Vesicle budding electron transport off rough ER Vesicles fusing system with trans face of Cytoplasm Golgi apparatus ‘Cis’ face + discharging protein/lipid Golgi apparatus ‘Trans’ face Lysosome Vesicles leaving Golgi with modified protein/lipid cargo Cell membrane Fig. -
An Introduction to Effective Field Theory
An Introduction to Effective Field Theory Thinking Effectively About Hierarchies of Scale c C.P. BURGESS i Preface It is an everyday fact of life that Nature comes to us with a variety of scales: from quarks, nuclei and atoms through planets, stars and galaxies up to the overall Universal large-scale structure. Science progresses because we can understand each of these on its own terms, and need not understand all scales at once. This is possible because of a basic fact of Nature: most of the details of small distance physics are irrelevant for the description of longer-distance phenomena. Our description of Nature’s laws use quantum field theories, which share this property that short distances mostly decouple from larger ones. E↵ective Field Theories (EFTs) are the tools developed over the years to show why it does. These tools have immense practical value: knowing which scales are important and why the rest decouple allows hierarchies of scale to be used to simplify the description of many systems. This book provides an introduction to these tools, and to emphasize their great generality illustrates them using applications from many parts of physics: relativistic and nonrelativistic; few- body and many-body. The book is broadly appropriate for an introductory graduate course, though some topics could be done in an upper-level course for advanced undergraduates. It should interest physicists interested in learning these techniques for practical purposes as well as those who enjoy the beauty of the unified picture of physics that emerges. It is to emphasize this unity that a broad selection of applications is examined, although this also means no one topic is explored in as much depth as it deserves. -
Gravitational Potential Energy
Briefly review the concepts of potential energy and work. •Potential Energy = U = stored work in a system •Work = energy put into or taken out of system by forces •Work done by a (constant) force F : v v v v F W = F ⋅∆r =| F || ∆r | cosθ θ ∆r Gravitational Potential Energy Lift a book by hand (Fext) at constant velocity. F = mg final ext Wext = Fext h = mgh h Wgrav = -mgh Fext Define ∆U = +Wext = -Wgrav= mgh initial Note that get to define U=0, mg typically at the ground. U is for potential energy, do not confuse with “internal energy” in Thermo. Gravitational Potential Energy (cont) For conservative forces Mechanical Energy is conserved. EMech = EKin +U Gravity is a conservative force. Coulomb force is also a conservative force. Friction is not a conservative force. If only conservative forces are acting, then ∆EMech=0. ∆EKin + ∆U = 0 Electric Potential Energy Charge in a constant field ∆Uelec = change in U when moving +q from initial to final position. ∆U = U f −Ui = +Wext = −W field FExt=-qE + Final position v v ∆U = −W = −F ⋅∆r fieldv field FField=qE v ∆r → ∆U = −qE ⋅∆r E + Initial position -------------- General case What if the E-field is not constant? v v ∆U = −qE ⋅∆r f v v Integral over the path from initial (i) position to final (f) ∆U = −q∫ E ⋅dr position. i Electric Potential Energy Since Coulomb forces are conservative, it means that the change in potential energy is path independent. f v v ∆U = −q∫ E ⋅dr i Electric Potential Energy Positive charge in a constant field Electric Potential Energy Negative charge in a constant field Observations • If we need to exert a force to “push” or “pull” against the field to move the particle to the new position, then U increases. -
Passive and Active Transport
Passive and Active Transport 1. Thermodynamics of transport 2. Passive-mediated transport 3. Active transport neuron, membrane potential, ion transport Membranes • Provide barrier function – Extracellular – Organelles • Barrier can be overcome by „transport proteins“ – To mediate transmembrane movements of ions, Na+, K+ – Nutrients, glucose, amino acids etc. – Water (aquaporins) 1) Thermodynamics of Transport • Aout <-> Ain (ressembles a chemical equilibration) o‘ • GA - G A = RT ln [A] • ∆GA = GA(in) - GA(out) = RT ln ([A]in/[A]out) • GA: chemical potential of A o‘ • G A: chemical potential of standard state of A • If membrane has a potential, i.e., plasma membrane: -100mV (inside negative) then GA is termed the electrochemical potential of A Two types of transport across a membrane: o Nonmediated transport occurs by passive diffusion, i.e., O2, CO2 driven by chemical potential gradient, i.e. cannot occur against a concentration gradient o Mediated transport occurs by dedicated transport proteins 1. Passive-mediated transport/facilitated diffusion: [high] -> [low] 2. Active transport: [low] -> [high] May require energy in form of ATP or in form of a membrane potential 2) Passive-mediated transport Substances that are too large or too polar to diffuse across the bilayer must be transported by proteins: carriers, permeases, channels and transporters A) Ionophores B) Porins C) Ion Channels D) Aquaporins E) Transport Proteins A) Ionophores Organic molecules of divers types, often of bacterial origin => Increase the permeability of a target membrane for ions, frequently antibiotic, result in collapse of target membrane potential by ion equilibration 1. Carrier Ionophore, make ion soluble in membrane, i.e. valinomycin, 104 K+/sec 2. -
Evidence for a Respiratory Chain in the Chloroplast
Proc. NatL Acad. Sci. USA Vol. 79, pp. 4352-4356, July 1982 Cell Biology Evidence for a respiratory chain in the chloroplast (photosynthesis/respiration/starch degradation/evolution) PIERRE BENNOUN Institut de Biologie Physico-Chimique, 13, rue Pierre et Marie Curie, 75005, Paris, France Communicated by Pierre Joliot, April 12, 1982 ABSTRACT Evidence is given for the existence ofan electron in 20 ml of 20 mM N-tris(hydroxymethyl)methylglycine(Tri- transport pathway to oxygen in the thylakoid membranes ofchlo- cine)/KOH, pH 7.8/10 mM NaCl/10 mM MgCl2/1 mM K2- roplasts (chlororespiration). Plastoquinone is shown to be a redox HPO4/0.1 M sucrose/5% Ficoll. The cell suspension was carrier common to both photosynthetic and chlororespiratory passed through a Yeda press operated at 90 kg/cm2, diluted pathways. It is shown that, in dark-adapted chloroplasts, an elec- with 200 ml of Ficoll-lacking buffer, and centrifuged, and the trochemical gradient is built up across the thylakoid membrane pellet was suspended in the same buffer. by transfer of electrons through the chlororespiratory chain as Chlorophyll fluorescence kinetics and luminescence mea- well as by reverse functioning of the chloroplast ATPases. It is surements were performed as described (9). proposed that these mechanisms ensure recycling ofthe ATP and NAD(P)H generated by the glycolytic pathway converting starch into triose phosphates. Chlororespiration is thus an 02-uptake RESULTS process distinct from photorespiration and the Mehler reaction. The plastoquinone (PQ) pool ofchloroplast is a redox carrier of The evolutionary significance of chlororespiration is discussed. the photosynthetic electron transport chain. -
The Electrochemical Gradient of Protons and Its Relationship to Active Transport in Escherichia Coli Membrane Vesicles
Proc. Natl. Acad. Sci. USA Vol. 73, No. 6, pp. 1892-1896, June 1976 Biochemistry The electrochemical gradient of protons and its relationship to active transport in Escherichia coli membrane vesicles (flow dialysis/membrane potential/energy transduction/lipophilic cations/weak acids) SOFIA RAMOS, SHIMON SCHULDINER*, AND H. RONALD KABACK The Roche Institute of Molecular Biology, Nutley, New Jersey 07110 Communicated by B. L. Horecker, March 17, 1976 ABSTRACT Membrane vesicles isolated from E. coli gen- presence of valinomycin), a respiration-dependent membrane erate a trans-membrane proton gradient of 2 pH units under potential (AI, interior negative) of approximately -75 mV in appropriate conditions when assayed by flow dialysis. Using E. coli membrane vesicles has been documented (6, 13, 14). the distribution of weak acids to measure the proton gradient (ApH) and the distribution of the lipophilic cation triphenyl- Moreover it has been shown that the potential causes the ap- methylphosphonium to measure the electrical potential across pearance of high affinity binding sites for dansyl- and azido- the membrane (AI), the vesicles are shown to generate an phenylgalactosides on the outer surface of the membrane (4, electrochemical proton gradient (AiH+) of approximately -180 15) and that the potential is partially dissipated as a result of mV at pH 5.5 in the presence of ascorbate and phenazine lactose accumulation (6). Although these findings provide ev- methosulfate, the major component of which is a ApH of about idence for the chemiosmotic hypothesis, it has also been dem- -110 mV. As external pH is increased, ApH decreases, reaching o at pH 7.5 and above, while AI remains at about -75 mV and onstrated (6, 16) that vesicles are able to accumulate lactose and internal pH remains at pH 7.5. -
PET4I101 ELECTROMAGNETICS ENGINEERING (4Th Sem ECE- ETC) Module-I (10 Hours)
PET4I101 ELECTROMAGNETICS ENGINEERING (4th Sem ECE- ETC) Module-I (10 Hours) 1. Cartesian, Cylindrical and Spherical Coordinate Systems; Scalar and Vector Fields; Line, Surface and Volume Integrals. 2. Coulomb’s Law; The Electric Field Intensity; Electric Flux Density and Electric Flux; Gauss’s Law; Divergence of Electric Flux Density: Point Form of Gauss’s Law; The Divergence Theorem; The Potential Gradient; Energy Density; Poisson’s and Laplace’s Equations. Module-II3. Ampere’s (8 Magnetic Hours) Circuital Law and its Applications; Curl of H; Stokes’ Theorem; Divergence of B; Energy Stored in the Magnetic Field. 1. The Continuity Equation; Faraday’s Law of Electromagnetic Induction; Conduction Current: Point Form of Ohm’s Law, Convection Current; The Displacement Current; 2. Maxwell’s Equations in Differential Form; Maxwell’s Equations in Integral Form; Maxwell’s Equations for Sinusoidal Variation of Fields with Time; Boundary Module-IIIConditions; (8The Hours) Retarded Potential; The Poynting Vector; Poynting Vector for Fields Varying Sinusoid ally with Time 1. Solution of the One-Dimensional Wave Equation; Solution of Wave Equation for Sinusoid ally Time-Varying Fields; Polarization of Uniform Plane Waves; Fields on the Surface of a Perfect Conductor; Reflection of a Uniform Plane Wave Incident Normally on a Perfect Conductor and at the Interface of Two Dielectric Regions; The Standing Wave Ratio; Oblique Incidence of a Plane Wave at the Boundary between Module-IVTwo Regions; (8 ObliqueHours) Incidence of a Plane Wave on a Flat Perfect Conductor and at the Boundary between Two Perfect Dielectric Regions; 1. Types of Two-Conductor Transmission Lines; Circuit Model of a Uniform Two- Conductor Transmission Line; The Uniform Ideal Transmission Line; Wave AReflectiondditional at Module a Discontinuity (Terminal in an Examination-Internal) Ideal Transmission Line; (8 MatchingHours) of Transmission Lines with Load. -
Occupational Safety and Health Admin., Labor § 1910.269
Occupational Safety and Health Admin., Labor § 1910.269 APPENDIX C TO § 1910.269ÐPROTECTION energized grounded object) is called the FROM STEP AND TOUCH POTENTIALS ground potential gradient. Voltage drops as- sociated with this dissipation of voltage are I. Introduction called ground potentials. Figure 1 is a typ- ical voltage-gradient distribution curve (as- When a ground fault occurs on a power suming a uniform soil texture). This graph line, voltage is impressed on the ``grounded'' shows that voltage decreases rapidly with in- object faulting the line. The voltage to creasing distance from the grounding elec- which this object rises depends largely on trode. the voltage on the line, on the impedance of the faulted conductor, and on the impedance B. Step and Touch Potentials to ``true,'' or ``absolute,'' ground represented by the object. If the object causing the fault ``Step potential'' is the voltage between represents a relatively large impedance, the the feet of a person standing near an ener- voltage impressed on it is essentially the gized grounded object. It is equal to the dif- phase-to-ground system voltage. However, ference in voltage, given by the voltage dis- even faults to well grounded transmission tribution curve, between two points at dif- towers or substation structures can result in ferent distances from the ``electrode''. A per- hazardous voltages.1 The degree of the haz- son could be at risk of injury during a fault ard depends upon the magnitude of the fault simply by standing near the grounding point. current and the time of exposure. ``Touch potential'' is the voltage between the energized object and the feet of a person II. -
Photosynthesis and Respiration
18 Photosynthesis and Respiration ATP is the energy currency of the cell Goal To understand how energy from sunlight is harnessed to Cells need to carry out many reactions that are energetically unfavorable. generate chemical energy by photosynthesis and You have seen some examples of these non-spontaneous reactions in respiration. earlier chapters: the synthesis of nucleic acids and proteins from their corresponding nucleotide and amino acid building blocks and the transport Objectives of certain ions against concentration gradients across a membrane. In many cases, unfavorable reactions like these are coupled to the hydrolysis of ATP After this chapter, you should be able to: in order to make them energetically favorable under cellular conditions; we • Explain the concepts of oxidation and have learned that for these reactions the free energy released in breaking reduction. the phosphodiester bonds in ATP exceeds the energy consumed by the • Explain how light energy generates an uphill reaction such that the sum of the free energy of the two reactions is electrochemical gradient. negative (ΔG < 0). To perform these reactions, cells must then have a way • Explain how an electrochemical of generating ATP efficiently so that a sufficient supply is always available. gradient generates chemical energy. The amount of ATP used by a mammalian cell has been estimated to be on the order of 109 molecules per second. In other words, ATP is the principal • Explain how chemical energy is harnessed to fix carbon dioxide. energy currency of the cell. • Explain how glucose is used to generate How does the cell produce enough ATP to sustain life and what is the source ATP anaerobically. -
3. Transport Can Be Active Or Passive. •Passive Transport Is Movement
3. Transport can be active or passive. F 6-3 Taiz. Microelectrodes are used to measure membrane •Passive transport is movement down an electrochemical potentials across cell membrane gradient. •Active transport is movement against an electrochemical gradient. What is an electrochemical gradient? How is it formed? Passive and active transport of ions result in electric potential difference across membranes. •Movement of an uncharged mol Is dependent on conc. gradient alone. •Movement of an ion depends on the electric gradient and the conc. gradient. •Diffusion potential- Pump potential- How do you know if an ion is moving uphill or downhill? Nernst Eq What is the driving force for uphill movement? A) ATP ; b) H+ gradient 6-5. Pump potential and diffusion potential. How can we determine whether an ion moves in or out by active or passive transport? Nernst equation states that at equilibrium the difference in concentration of an ion between two compartments is balanced by the voltage difference. Thus it can predict the ion conc at equilibrium at a certain ΔE. Very useful to predict active or passive transport of an ion. Fig. 6-4, Taiz. Passive and active transporters. Tab 6-1, Taiz . Using the Nernst equation to predict ion conc. at equilibrium when the Cell electrical potential, Δψ = -110 mV ---------------------------------------------------------------------------------------- Ext Conc. Ion Internal concentration (mM) Summary: In general observed Nernst (Predicted) ---------------------------------------------------------------------------------------- Cation uptake: passive 1 mM K+ 75 mM 74 Cation efflux: active 1 mM Na+ 8 mM 74 1 mM Ca2+ 2 mM 5,000 Anion uptake: active 0.2 mM Mg2+ 3 1,340 Anion release: passive - 2 mM NO3 5 mM 0.02 1 Cl- 10 mM 0.01 - 1H2PO4 21 0.01 ---------------------------------------------------------------------------------------- 1 6-10. -
Molecular Biology of the Cell 6Th Edition
753 CHAPTER Energy Conversion: Mitochondria and Chloroplasts 14 To maintain their high degree of organization in a universe that is constantly drift- IN THIS CHAPTER ing toward chaos, cells have a constant need for a plentiful supply of ATP, as we have explained in Chapter 2. In eukaryotic cells, most of the ATP that powers life THE MITOCHONDRION processes is produced by specialized, membrane-enclosed, energy-converting organelles. Tese are of two types. Mitochondria, which occur in virtually all cells THE PROTON PUMPS OF THE of animals, plants, and fungi, burn food molecules to produce ATP by oxidative ELECTRON-TRANSPORT CHAIN phosphorylation. Chloroplasts, which occur only in plants and green algae, har- ness solar energy to produce ATP by photosynthesis. In electron micrographs, the ATP PRODUCTION IN most striking features of both mitochondria and chloroplasts are their extensive MITOCHONDRIA internal membrane systems. Tese internal membranes contain sets of mem- brane protein complexes that work together to produce most of the cell’s ATP. In CHLOROPLASTS AND bacteria, simpler versions of essentially the same protein complexes produce ATP, PHOTOSYNTHESIS but they are located in the cell’s plasma membrane (Figure 14–1). Comparisons of DNA sequences indicate that the energy-converting organ- THE GENETIC SYSTEMS elles in present-day eukaryotes originated from prokaryotic cells that were endo- OF MITOCHONDRIA AND cytosed during the evolution of eukaryotes (discussed in Chapter 1). This explains CHLOROPLASTS why mitochondria and chloroplasts contain their own DNA, which still encodes a subset of their proteins. Over time, these organelles have lost most of their own genomes and become heavily dependent on proteins that are encoded by genes in the nucleus, synthesized in the cytosol, and then imported into the organelle.