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Electric Permittivity of Carbon Fiber
Carbon 143 (2019) 475e480 Contents lists available at ScienceDirect Carbon journal homepage: www.elsevier.com/locate/carbon Electric permittivity of carbon fiber * Asma A. Eddib, D.D.L. Chung Composite Materials Research Laboratory, Department of Mechanical and Aerospace Engineering, University at Buffalo, The State University of New York, Buffalo, NY, 14260-4400, USA article info abstract Article history: The electric permittivity is a fundamental material property that affects electrical, electromagnetic and Received 19 July 2018 electrochemical applications. This work provides the first determination of the permittivity of contin- Received in revised form uous carbon fibers. The measurement is conducted along the fiber axis by capacitance measurement at 25 October 2018 2 kHz using an LCR meter, with a dielectric film between specimen and electrode (necessary because an Accepted 11 November 2018 LCR meter is not designed to measure the capacitance of an electrical conductor), and with decoupling of Available online 19 November 2018 the contributions of the specimen volume and specimen-electrode interface to the measured capaci- tance. The relative permittivity is 4960 ± 662 and 3960 ± 450 for Thornel P-100 (more graphitic) and Thornel P-25 fibers (less graphitic), respectively. These values are high compared to those of discon- tinuous carbons, such as reduced graphite oxide (relative permittivity 1130), but are low compared to those of steels, which are more conductive than carbon fibers. The high permittivity of carbon fibers compared to discontinuous carbons is attributed to the continuity of the fibers and the consequent substantial distance that the electrons can move during polarization. The P-100/P-25 permittivity ratio is 1.3, whereas the P-100/P-25 conductivity ratio is 67. -
VELOCITY of PROPAGATION by RON HRANAC
Originally appeared in the March 2010 issue of Communications Technology. VELOCITY OF PROPAGATION By RON HRANAC If you’ve looked at a spec sheet for coaxial cable, you’ve no doubt seen a parameter called velocity of propagation. For instance, the published velocity of propagation for CommScope’s F59 HEC-2 headend cable is "84% nominal," and Times Fiber’s T10.500 feeder cable has a published value of "87% nominal." What do these numbers mean, and where do they come from? We know that the speed of light in free space is 299,792,458 meters per second, which works out to 299,792,458/0.3048 = 983,571,056.43 feet per second, or 983,571,056.43/5,280 = 186,282.4 miles per second. The reciprocal of the free space value of the speed of light in feet per second is the time it takes for light to travel 1 foot: 1/983,571,056.43 = 1.02E-9 second, or 1.02 nanosecond. In other words, light travels a foot in free space in about a billionth of a second. Light is part of the electromagnetic spectrum, as is RF. That means RF zips along at the same speed that light does. "The major culprit that slows the waves down is the dielectric — and it slows TEM waves down a bunch." Now let’s define velocity of propagation: It’s the speed at which an electromagnetic wave propagates through a medium such as coaxial cable, expressed as a percentage of the free space value of the speed of light. -
Importance of Varying Permittivity on the Conductivity of Polyelectrolyte Solutions
Importance of Varying Permittivity on the Conductivity of Polyelectrolyte Solutions Florian Fahrenberger, Owen A. Hickey, Jens Smiatek, and Christian Holm∗ Institut f¨urComputerphysik, Universit¨atStuttgart, Allmandring 3, Stuttgart 70569, Germany (Dated: September 8, 2018) Dissolved ions can alter the local permittivity of water, nevertheless most theories and simulations ignore this fact. We present a novel algorithm for treating spatial and temporal variations in the permittivity and use it to measure the equivalent conductivity of a salt-free polyelectrolyte solution. Our new approach quantitatively reproduces experimental results unlike simulations with a constant permittivity that even qualitatively fail to describe the data. We can relate this success to a change in the ion distribution close to the polymer due to the built-up of a permittivity gradient. The dielectric permittivity " measures the polarizabil- grained approach is necessary due to the excessive sys- ity of a medium subjected to an electric field and is one of tem size. Molecular Dynamics (MD) simulations of only two fundamental constants in Maxwell's equations. charged systems typically work with the restricted prim- The relative permittivity of pure water at room temper- itive model by simulating the ions as hard spheres while ature is roughly 78.5, but charged objects dissolved in accounting for the solvent implicitly through a con- the fluid significantly reduce the local dielectric constant stant background dielectric. Crucially, the solvent me- because water dipoles align with the local electric field diates hydrodynamic interactions and reduces the elec- created by the object rather than the external field [1{3]. trostatic interactions due to its polarizability. -
Ec6503 - Transmission Lines and Waveguides Transmission Lines and Waveguides Unit I - Transmission Line Theory 1
EC6503 - TRANSMISSION LINES AND WAVEGUIDES TRANSMISSION LINES AND WAVEGUIDES UNIT I - TRANSMISSION LINE THEORY 1. Define – Characteristic Impedance [M/J–2006, N/D–2006] Characteristic impedance is defined as the impedance of a transmission line measured at the sending end. It is given by 푍 푍0 = √ ⁄푌 where Z = R + jωL is the series impedance Y = G + jωC is the shunt admittance 2. State the line parameters of a transmission line. The line parameters of a transmission line are resistance, inductance, capacitance and conductance. Resistance (R) is defined as the loop resistance per unit length of the transmission line. Its unit is ohms/km. Inductance (L) is defined as the loop inductance per unit length of the transmission line. Its unit is Henries/km. Capacitance (C) is defined as the shunt capacitance per unit length between the two transmission lines. Its unit is Farad/km. Conductance (G) is defined as the shunt conductance per unit length between the two transmission lines. Its unit is mhos/km. 3. What are the secondary constants of a line? The secondary constants of a line are 푍 i. Characteristic impedance, 푍0 = √ ⁄푌 ii. Propagation constant, γ = α + jβ 4. Why the line parameters are called distributed elements? The line parameters R, L, C and G are distributed over the entire length of the transmission line. Hence they are called distributed parameters. They are also called primary constants. The infinite line, wavelength, velocity, propagation & Distortion line, the telephone cable 5. What is an infinite line? [M/J–2012, A/M–2004] An infinite line is a line where length is infinite. -
Measurement of Dielectric Material Properties Application Note
with examples examples with solutions testing practical to show written properties. dielectric to the s-parameters converting for methods shows Italso analyzer. a network using materials of properties dielectric the measure to methods the describes note The application | | | | Products: Note Application Properties Material of Dielectric Measurement R&S R&S R&S R&S ZNB ZNB ZVT ZVA ZNC ZNC Another application note will be will note application Another <Application Note> Kuek Chee Yaw 04.2012- RAC0607-0019_1_4E Table of Contents Table of Contents 1 Overview ................................................................................. 3 2 Measurement Methods .......................................................... 3 Transmission/Reflection Line method ....................................................... 5 Open ended coaxial probe method ............................................................ 7 Free space method ....................................................................................... 8 Resonant method ......................................................................................... 9 3 Measurement Procedure ..................................................... 11 4 Conversion Methods ............................................................ 11 Nicholson-Ross-Weir (NRW) .....................................................................12 NIST Iterative...............................................................................................13 New non-iterative .......................................................................................14 -
Product Information PA 2200
Product Information PA 2200 PA 2200 is a non-filled powder on basis of PA 12. General Properties Property Measurement Method Units Value DIN/ISO Water absorption ISO 62 / DIN 53495 100°C, saturation in water % 1.93 23°C, 96% RF % 1.33 23°C, 50% RF % 0.52 Property Measurement Method Unit Value DIN/ISO Coefficient of linear thermal ex- ISO 11359 / DIN 53752-A x10-4 /K 1.09 pansion Specific heat DIN 51005 J/gK 2.35 Thermal properties of sintered parts Property Measurement Method Unit Value DIN/ISO Thermal conductivity DIN 52616 vertical to sintered layers W/mK 0.144 parallel to sintered layers W/mK 0.127 EOS GmbH - Electro Optical Systems Robert-Stirling-Ring 1 D-82152 Krailling / München Telefon: +49 (0)89 / 893 36-0 AHO / 03.10 Telefax: +49 (0)89 / 893 36-285 PA2200_Product_information_03-10_en.doc 1 / 10 Internet: www.eos.info Product Information Short term influcence of temperature on mechanical properties An overview about the temperature dependence of mechanical properties of PA 12 can be re- trieved from the curves for dynamic shear modulus and loss factor as function of temperature according to ISO 537. PA 2200 dynamic mechanical analysis (torsion) Temp.: - 100 bis 188°C 1E+10 G' 1E+03 G" tan_delta 1E+02 1E+09 , 1E+01 1E+08 tan_delta 1E+00 1E+07 loss modulus G´´ [Pa] 1E-01 storage modulus G´ [Pa] modulus storage 1E+06 1E-02 1E+05 1E-03 -100 -50 0 50 100 150 200 Temperature [°C] In general parts made of PA 12 show high mechanical strength and elasticity under steady stress in a temperature range from - 40°C till + 80°C. -
Properties of Cryogenic Insulants J
Cryogenics 38 (1998) 1063–1081 1998 Elsevier Science Ltd. All rights reserved Printed in Great Britain PII: S0011-2275(98)00094-0 0011-2275/98/$ - see front matter Properties of cryogenic insulants J. Gerhold Technische Universitat Graz, Institut fur Electrische Maschinen und Antriebestechnik, Kopernikusgasse 24, A-8010 Graz, Austria Received 27 April 1998; revised 18 June 1998 High vacuum, cold gases and liquids, and solids are the principal insulating materials for superconducting apparatus. All these insulants have been claimed to show fairly good intrinsic dielectric performance under laboratory conditions where small scale experiments in the short term range are typical. However, the insulants must be inte- grated into large scaled insulating systems which must withstand any particular stress- ing voltage seen by the actual apparatus over the full life period. Estimation of the amount of degradation needs a reliable extrapolation from small scale experimental data. The latter are reviewed in the light of new experimental data, and guidelines for extrapolation are discussed. No degradation may be seen in resistivity and permit- tivity. Dielectric losses in liquids, however, show some degradation, and breakdown as a statistical event must be scrutinized very critically. Although information for break- down strength degradation in large systems is still fragmentary, some thumb rules can be recommended for design. 1998 Elsevier Science Ltd. All rights reserved Keywords: dielectric properties; vacuum; fluids; solids; power applications; supercon- ductors The dielectric insulation design of any superconducting Of special interest for normal operation are the resis- power apparatus must be based on the available insulators. tivity, the permittivity, and the dielectric losses. -
Waveguides Waveguides, Like Transmission Lines, Are Structures Used to Guide Electromagnetic Waves from Point to Point. However
Waveguides Waveguides, like transmission lines, are structures used to guide electromagnetic waves from point to point. However, the fundamental characteristics of waveguide and transmission line waves (modes) are quite different. The differences in these modes result from the basic differences in geometry for a transmission line and a waveguide. Waveguides can be generally classified as either metal waveguides or dielectric waveguides. Metal waveguides normally take the form of an enclosed conducting metal pipe. The waves propagating inside the metal waveguide may be characterized by reflections from the conducting walls. The dielectric waveguide consists of dielectrics only and employs reflections from dielectric interfaces to propagate the electromagnetic wave along the waveguide. Metal Waveguides Dielectric Waveguides Comparison of Waveguide and Transmission Line Characteristics Transmission line Waveguide • Two or more conductors CMetal waveguides are typically separated by some insulating one enclosed conductor filled medium (two-wire, coaxial, with an insulating medium microstrip, etc.). (rectangular, circular) while a dielectric waveguide consists of multiple dielectrics. • Normal operating mode is the COperating modes are TE or TM TEM or quasi-TEM mode (can modes (cannot support a TEM support TE and TM modes but mode). these modes are typically undesirable). • No cutoff frequency for the TEM CMust operate the waveguide at a mode. Transmission lines can frequency above the respective transmit signals from DC up to TE or TM mode cutoff frequency high frequency. for that mode to propagate. • Significant signal attenuation at CLower signal attenuation at high high frequencies due to frequencies than transmission conductor and dielectric losses. lines. • Small cross-section transmission CMetal waveguides can transmit lines (like coaxial cables) can high power levels. -
Acid Dissociation Constant - Wikipedia, the Free Encyclopedia Page 1
Acid dissociation constant - Wikipedia, the free encyclopedia Page 1 Help us provide free content to the world by donating today ! Acid dissociation constant From Wikipedia, the free encyclopedia An acid dissociation constant (aka acidity constant, acid-ionization constant) is an equilibrium constant for the dissociation of an acid. It is denoted by Ka. For an equilibrium between a generic acid, HA, and − its conjugate base, A , The weak acid acetic acid donates a proton to water in an equilibrium reaction to give the acetate ion and − + HA A + H the hydronium ion. Key: Hydrogen is white, oxygen is red, carbon is gray. Lines are chemical bonds. K is defined, subject to certain conditions, as a where [HA], [A−] and [H+] are equilibrium concentrations of the reactants. The term acid dissociation constant is also used for pKa, which is equal to −log 10 Ka. The term pKb is used in relation to bases, though pKb has faded from modern use due to the easy relationship available between the strength of an acid and the strength of its conjugate base. Though discussions of this topic typically assume water as the solvent, particularly at introductory levels, the Brønsted–Lowry acid-base theory is versatile enough that acidic behavior can now be characterized even in non-aqueous solutions. The value of pK indicates the strength of an acid: the larger the value the weaker the acid. In aqueous a solution, simple acids are partially dissociated to an appreciable extent in in the pH range pK ± 2. The a actual extent of the dissociation can be calculated if the acid concentration and pH are known. -
Wave Guides Summary and Problems
ECE 144 Electromagnetic Fields and Waves Bob York General Waveguide Theory Basic Equations (ωt γz) Consider wave propagation along the z-axis, with fields varying in time and distance according to e − . The propagation constant γ gives us much information about the character of the waves. We will assume that the fields propagating in a waveguide along the z-axis have no other variation with z,thatis,the transverse fields do not change shape (other than in magnitude and phase) as the wave propagates. Maxwell’s curl equations in a source-free region (ρ =0andJ = 0) can be combined to give the wave equations, or in terms of phasors, the Helmholtz equations: 2E + k2E =0 2H + k2H =0 ∇ ∇ where k = ω√µ. In rectangular or cylindrical coordinates, the vector Laplacian can be broken into two parts ∂2E 2E = 2E + ∇ ∇t ∂z2 γz so that with the assumed e− dependence we get the wave equations 2E +(γ2 + k2)E =0 2H +(γ2 + k2)H =0 ∇t ∇t (ωt γz) Substituting the e − into Maxwell’s curl equations separately gives (for rectangular coordinates) E = ωµH H = ωE ∇ × − ∇ × ∂Ez ∂Hz + γEy = ωµHx + γHy = ωEx ∂y − ∂y ∂Ez ∂Hz γEx = ωµHy γHx = ωEy − − ∂x − − − ∂x ∂Ey ∂Ex ∂Hy ∂Hx = ωµHz = ωEz ∂x − ∂y − ∂x − ∂y These can be rearranged to express all of the transverse fieldcomponentsintermsofEz and Hz,giving 1 ∂Ez ∂Hz 1 ∂Ez ∂Hz Ex = γ + ωµ Hx = ω γ −γ2 + k2 ∂x ∂y γ2 + k2 ∂y − ∂x w W w W 1 ∂Ez ∂Hz 1 ∂Ez ∂Hz Ey = γ + ωµ Hy = ω + γ γ2 + k2 − ∂y ∂x −γ2 + k2 ∂x ∂y w W w W For propagating waves, γ = β,whereβ is a real number provided there is no loss. -
Uniform Plane Waves
38 2. Uniform Plane Waves Because also ∂zEz = 0, it follows that Ez must be a constant, independent of z, t. Excluding static solutions, we may take this constant to be zero. Similarly, we have 2 = Hz 0. Thus, the fields have components only along the x, y directions: E(z, t) = xˆ Ex(z, t)+yˆ Ey(z, t) Uniform Plane Waves (transverse fields) (2.1.2) H(z, t) = xˆ Hx(z, t)+yˆ Hy(z, t) These fields must satisfy Faraday’s and Amp`ere’s laws in Eqs. (2.1.1). We rewrite these equations in a more convenient form by replacing and μ by: 1 η 1 μ = ,μ= , where c = √ ,η= (2.1.3) ηc c μ Thus, c, η are the speed of light and characteristic impedance of the propagation medium. Then, the first two of Eqs. (2.1.1) may be written in the equivalent forms: ∂E 1 ∂H ˆz × =− η 2.1 Uniform Plane Waves in Lossless Media ∂z c ∂t (2.1.4) ∂H 1 ∂E The simplest electromagnetic waves are uniform plane waves propagating along some η ˆz × = ∂z c ∂t fixed direction, say the z-direction, in a lossless medium {, μ}. The assumption of uniformity means that the fields have no dependence on the The first may be solved for ∂zE by crossing it with ˆz. Using the BAC-CAB rule, and transverse coordinates x, y and are functions only of z, t. Thus, we look for solutions noting that E has no z-component, we have: of Maxwell’s equations of the form: E(x, y, z, t)= E(z, t) and H(x, y, z, t)= H(z, t). -
Determination of the Relative Permittivity, E′, of Methylbenzene
1056 J. Chem. Eng. Data 2008, 53, 1056–1065 Determination of the Relative Permittivity, E′, of Methylbenzene at Temperatures between (290 and 406) K and Pressures below 20 MPa with a Radio Frequency Re-Entrant Cavity and Evaluation of a MEMS Capacitor for the Measurement of E′ Mohamed E. Kandil and Kenneth N. Marsh Department of Chemical and Process Engineering, University of Canterbury, Christchurch, New Zealand Anthony R. H. Goodwin* Schlumberger Technology Corporation, 125 Industrial Boulevard, Sugar Land, Texas 77478 The relative electric permittivity of liquid methylbenzene has been determined with an uncertainty of 0.01 % from measurements of the resonance frequency of the lowest order inductive-capacitance mode of a re-entrant cavity (J. Chem. Thermodyn. 2005, 37, 684–691) at temperatures between (290 and 406) K and pressures below 20 MPa and at T ) 297 K with a MicroElectricalMechanical System (MEMS) interdigitated comb capacitor. For the re-entrant cavity, the working equations were a combination of the expressions reported by Hamelin et al. (ReV. Sci. Instrum. 1998, 69, 255-260) and a function to account for dilation of the resonator vessel walls with pressure that was determined by calibration with methane (J. Chem. Eng. Data 2007, 52, 1660–1671). The results were represented by an empirical equation reported by Owen and Brinkley (Liq. Phys. ReV. 1943, 64, 32–36) analogous to the Tait equation (Br. J. Appl. Phys. 1967, 18, 965–977) with a standard (k ) 1) uncertainty of 0.33 %. The values reported by Mospik (J. Chem. Phys. 1969, 50, 2559–2569) differed from the interpolating equation by <( 0.2 % at temperatures that overlap ours; extrapolating the smoothing expression to T ) 223 K, a temperature of 40 K below the lowest used for the measurements, provided values within ( 0.6 % of the data reported by Mospik.