For a better experience, please enable JavaScript in your browser before proceeding. Since inductance has N in the formula, it means that the number of turns in the conductor are directly proportional to the inductance present. Is it cheating if the proctor gives a student the answer key by mistake and the student doesn't report it? {/eq}. The EMF is the induced voltage, which means that, if the resistance of the circuit is known, the induced-current can be calculated using Ohm's law, {eq}V=IR {/eq}. Now, in terms of the magnetic field across the conductor and its area, the formula for induced voltage is expressed as: = NBA/t. {/eq} where {eq}\eta The magnetic induction formula can be denoted by the formula is given as . The induced current can be defined as the current resulting from the phenomenon of electromagnetic induction. {/eq} is the rate of change of magnetic flux. Something can be done or not a fit? If the resistance of the coil is 3 Ohms, what is the current induced in the coil? Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. The induced voltage is described by making use of Faraday's law of induction. {/eq} is the magnetic flux, B is the strength of the magnetic field perpendicular to the area, and A is the area of the region. They can be induced within nearby . Calculating maximum induced current problem [closed], Help us identify new roles for community members, Induced current for conjoined loops in varying magnetic field. Get unlimited access to over 84,000 lessons. The inductance value is of two types. Sukkot Overview, History & Significance | Feast of Julius Caesar & the Crossing of the Rubicon, Identifying When Public Policy Costs Outweigh the Benefits. of a resistance. The equation for $\phi_B$ through the loop as a function of $\theta$ as you found in b) is: $emf=\frac{d\phi_B}{dt}=\frac{d\phi_B}{d\theta}\frac{d\theta}{dt}=\frac{Br^2}{2}*\omega$, $i=\frac{emf}{R}=\frac{emf}{\frac{\rho r(2+\theta)}{A}}=\frac{ABr\omega}{2\rho(2+\theta)}=\frac{ABr\sqrt{2\alpha\theta}}{2\rho(2+\theta)}$, To find the angle at which $i_{maximum}$ occurs, differentiate in $\theta$ and equate to $0$, You will find $i_{max}$ occurs at $\theta=2 $. Why does the USA not have a constitutional court? I'm not sure how you got your equation for $i_{max}$, but did you do it this way? Electromagnetic or magnetic induction is the production of an electromotive force (emf) across an electrical conductor in a changing magnetic field.. Michael Faraday is generally credited with the discovery of induction in 1831, and James Clerk Maxwell mathematically described it as Faraday's law of induction. This is where Lenz's Law comes in. Use the RHR to nd the direction of magnetic eld produced by the induced current. How does adding a second magnet on the other side of a coil affect induced voltage? Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Q: As the student pushes a bar magnet away to a wire coil with 3 turns, the magnetic field strength going through the coil decreases from 40 T to 20 T in 1 seconds. 1. {/eq} is the rate of change of magnetic flux, {eq}\phi_{2} \text{ and } \phi_{1} The inductance value is represented as L and its unit is Henry. Answer: Known: L1= 5H, L2= 2H, L3= 7H Does balls to the wall mean full speed ahead or full speed ahead and nosedive? Kirsten has taught high school biology, chemistry, physics, and genetics/biotechnology for three years. Ancient Civilizations in the Near East: Help and Review. Required fields are marked *, \(\begin{array}{l}L=\mu N^2A/l\end{array} \), \(\begin{array}{l}V=L\frac{di}{dt}\end{array} \), \(\begin{array}{l}X=2\pi fL\end{array} \), \(\begin{array}{l}L=L_1+L_2+L_3+.+L_n\end{array} \), \(\begin{array}{l}\frac{1}{L}=\frac{1}{L_1}+\frac{1}{L_2}+\frac{1}{L_3}+.+\frac{1}{L_n}\end{array} \). Electromagnetic induction is fundamental to electric power generation. Ans: Given, The potential difference of the electric circuit = V = 5 volts. The best answers are voted up and rise to the top, Not the answer you're looking for? R is the resistance of the wire. Now nd the direction of the induced current (or EMF). Step 2: Use Faraday's Law of Induction to obtain the Electromotive force (emf) induced on the coil, as {eq}\epsilon = -N\times \frac{d\phi}{dt} All rights reserved. {/eq} is the rate of change of the magnetic field. Centeotl, Aztec God of Corn | Mythology, Facts & Importance. Did neanderthals need vitamin C from the diet? Does a 120cc engine burn 120cc of fuel a minute? {/eq} is the rate of change of the magnetic flux, A is the cross-sectional area of the coil, and {eq}\frac{dB}{dt} Step 3: To determine the current generated in the coil, we first determine the resistance of the coil, which is 200 Ohms. Is there any reason on passenger airliners not to have a physical lock between throttles? High School Algebra - Matrices and Absolute Value: Algebraic Equations and Expressions: Help and Review. Asking for help, clarification, or responding to other answers. Plugging in known values, we get {eq}\epsilon = -N\times \frac{d\phi}{dt} \\ What is the magnitude of the current in the resistor at time t = 5.90 s? We can ignore the negative sign as no directions have been asked for in the question. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, How to Calculate Induced Electromotive Force and Current. Find the direction of the induced current and the polarity of the induced emf. It may not display this or other websites correctly. (c) For what $$ is the induced current maximum and (d) what is that maximum? Step 3: To determine the current generated in the coil, first determine the resistance of the coil. It only takes a few minutes. {/eq} is the electromotive force obtained from Step 2, R is the resistance of the coil and I is the current induced in the coil. What are the National Board for Professional Teaching How to Register for the National Board for Professional CLEP Exams & COVID-19: Scheduling Updates, Plans & Next Generation Science Standards for Middle School, Statistical Discrete Probability Distributions, Developing as a Reader and Writer: Tutoring Solution, Early Indian Civilization: Help and Review. Thanks for contributing an answer to Physics Stack Exchange! What's the \synctex primitive? Is it correct to say "The glue on the back of the sticker is dying down so I can not stick the sticker to the wall"? We are aware that whenever an electric current flows through a conductor, a magnetic field surrounding it is produced. {/eq} is the rate of change of magnetic flux. Difference in induced current, when magnetic field "span" is reduced? What is induced emf formula? MOSFET is getting very hot at high frequency PWM, 1980s short story - disease of self absorption. The loop is then flipped over in a time t so that its normal is opposite to the field. The coil is connected to a 6.10 Faraday's Law of Induction: This law states that the electromotive force induced in a conduction coil is directly proportional to the number of turns in the coil, and the rate of change of magnetic flux in the coil. The current in a long solenoid with 20 turns per centimeter of radius 3 cm is varied with time at a rate of 2 A/s. copyright 2003-2022 Study.com. Site design / logo 2022 Stack Exchange Inc; user contributions licensed under CC BY-SA. MOSFET is getting very hot at high frequency PWM. {/eq} is the rate of change of magnetic flux. {/eq} where {eq}\eta Step 3: To determine the current generated in the coil, we first determine the resistance of the coil, which is 3 Ohms. - Definition & Examples. The coil is connected to a 6.10 resistor, and its plane is perpendicular to the magnetic field. The induced emf is = - d/dt (BA cos ). Could you maybe show what you tried more explicitly, perhaps with math instead of images of equations? As a member, you'll also get unlimited access to over 84,000 And some other questions on electromagnetic induction, Calculating when the center points of two orbiting bodies will be at the same circumferential position, Magnetic Field of a current carrying loop. One is the mutual inductance and another one is self-inductance. How is the direction of current induced by the induced magnetic field determined in a metal detector? Help us identify new roles for community members, why induced emf in primary coil is only caused from self inductance but not mutual inductace. A circular loop of wire of radius 5 cm and resistance [latex]2\phantom{\rule{0.2em}{0ex}}\text{}[/latex] surrounds the solenoid. Electromagnetic induction is a process in which a conductor is placed in a certain position and the magnetic field remains stationary or varies as the conductor moves. What is the magnitude of induced current caused by a varying magnetic field in a coil with a resistor? \implies \epsilon = -2 \cdot 6 = -12 V {/eq}, and the resistance of the coil is 200 Ohms, what is the current induced in the coil? Can virent/viret mean "green" in an adjectival sense? Consider an electrical circuit with a potential difference of 5V, with a current of1 A. Vinduce = [MUo * MUr * Area / (2 * PI * Distance)] * dI/dT. Then we use Ohm's law as : {eq}V = I\cdot R \implies I = \frac{\epsilon}{R} = \frac{600}{200} = 3 A 4. {/eq}, where {eq}\frac{d\phi}{dt} 2022 Physics Forums, All Rights Reserved, Problem with two pulleys and three masses, Newton's Laws of motion -- Bicyclist pedaling up a slope, A cylinder with cross-section area A floats with its long axis vertical, Hydrostatic pressure at a point inside a water tank that is accelerating, Forces on a rope when catching a free falling weight. So, I have calculated the field at t=5.9. The sheath resistance can be estimated from: with . Current capacity to BS 7671, ERA 69-30 and IEC 60502. Where does the idea of selling dragon parts come from? {/eq}. Quiz & Worksheet - Practice with Semicolons, Quiz & Worksheet - Comparing Alliteration & Consonance, Quiz & Worksheet - Physical Geography of Australia, Quiz & Worksheet - Organizational Incentive Programs. The induced voltage is produced as a result of electromagnetic induction. {/eq} are the final and initial magnetic flux through the ring, and {eq}\Delta t Does Motional EMF depend on the shape of path taken or depends on the shortest distance between given two points? The voltage induced in a coil, (V) with an inductance of L is given by. {/eq} where {eq}\eta {/eq} is the electromotive force obtained from Step 2, R is the resistance of the coil and I is the current induced in the coil. f is the 'AC' frequency of the electrical . Inductive reactance is the product of 2 times pi and the inductance of the coil and the frequency of the AC current. Why would Henry want to close the breach? Step 2: Use Faraday's Law of Induction to obtain the Electromotive force (emf) induced on the coil, as {eq}\epsilon = -N\times \frac{d\phi}{dt} If an inductor has current flowing in only one direction, does the magnetic field still vary directions? This effect is used in . How could my characters be tricked into thinking they are on Mars? Are there conservative socialists in the US? A varying current results in a varying magnetic field. All other trademarks and copyrights are the property of their respective owners. Forbidden City Overview & Facts | What is the Forbidden Islam Origin & History | When was Islam Founded? {/eq}, where {eq}\frac{d\phi}{dt} As functions of $$ (in rad), find (a) the loop's resistance and (b) the magnetic flux through the loop. Cancel any time. Thus, we find that a current of 4 A is induced in the coil. The low induced voltage with thin sheet lead to lower eddy current and as a result, the heat loss(I 2 R) reduce in the thin laminated sheet. Ques 1. Put that in the equation for i and you should get the right answer. rev2022.12.9.43105. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. Step 1: Determine the number of turns in your coil. How to smoothen the round border of a created buffer to make it look more natural? What type of electric field is created by time varying magnetic field? The induced one volt by altering current in one . Table of Contents show . Because that's exactly the area where the magnetic field varies with time. The equation for B through the loop as a function of as you found in b) is: B = B r 2 2. e m f = d B d t = d B d d d t = B r 2 2 . i = e m f R = e m f r ( 2 + ) A = A B r 2 ( 2 + ) = A B r 2 2 ( 2 + ) To find the angle at which i m a x i m u m occurs, differentiate in and equate to 0. Could you clarify though, why I would use the area of the solenoid versus the single coil? Where 'XL' is inductive reactance that is measured in ohms. Can virent/viret mean "green" in an adjectival sense? We can ignore the negative sign as no directions have been specified in the question. JavaScript is disabled. Does the collective noun "parliament of owls" originate in "parliament of fowls"? October 20, 2022 September 28, 2022 by George Jackson. {/eq} are the final and initial magnetic fields through the ring, {eq}\Delta t Outside that area there is magnetic field (which is caused by the induced current on the 140 turn coil) but since the induced current is constant that magnetic field is constant too. Would salt mines, lakes or flats be reasonably found in high, snowy elevations? Rishabh completed a Bachelor of Science in Physics and Applied Mathematics with honors from UCLA. Thus, we find that a current of 3 A is induced in the coil. The loop's diameter changes from 100 cm to 60 cm in 0.5 s What is the magnitude of the average induced emf? Step 1: We know that the number of turns in the coil is 2. Eddy currents (also called Foucault's currents) are loops of electrical current induced within conductors by a changing magnetic field in the conductor according to Faraday's law of induction or by the relative motion of a conductor in a magnetic field. {/eq} is the rate of change of magnetic flux. The current in this type of circuit lags behind the voltage by 90 degrees. But that doesn't make sense to me because it's not a resistor; it's a coil, more like an inductor. succeed. You are using an out of date browser. Great I got the answer (see below). If the internal resistance of the battery used is 0.8 ohms. The direction of the emf and current induced are not relevant for calculating their magnitudes. Inductive Reactance is the resistance to current flow via an AC inductor, and it is proportional to the supply frequency. The reactance is articulated as X= 12560, Your Mobile number and Email id will not be published. Try refreshing the page, or contact customer support. . Example 2: Calculating the induced electromotive force and current on a coil given the magnetic field and area of the coil. If this were a loop of ideal conductor, which has zero resistance, a constant current could exist in the loop without an emf generating, time . Any ideas to solve in another way maybe? L = L1+ L2+ L3 Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company. Would salt mines, lakes or flats be reasonably found in high, snowy elevations? {/eq} is the total time elapsed between the initial and final measurements of the flux. Are the S&P 500 and Dow Jones Industrial Average securities. The inductance value is of two types. The direction is such that the current induced on the coil in turn will induce a magnetic field whose direction is opposed to the direction of the rate of change of flux. It only takes a few minutes to setup and you can cancel any time. Is it illegal to use resources in a University lab to prove a concept could work (to ultimately use to create a startup). It only takes a minute to sign up. Magnetic Flux: The magnetic flux is a quantization of the strength of the magnetic field lines passing through a particular area. {/eq}. Solution: inductance L = 50 Henry My question is, how do I get indued current from the field? where, is the induced voltage, N is the number of turns in the coil, B is the magnetic field, A is the area of coil, One Henry value is equivalent to the induced one volt by changing of current in one ampere per second in an inductance value. Why does induced current depend on the area of a loop of wire? {/eq}, where {eq}\epsilon Rishabh Singh has been tutoring Physics and Mathematics to high school and college students for a year. It's not an ideal resistor - since ideal resistors have only resistance - and it's not an ideal inductor -since ideal inductors have only inductance.. geomagnetically induced currents (GICs) in electrical an power system model to the assumed substation grounding resistances. Why is the eastern United States green if the wind moves from west to east? The inductive reactance can be calculated by using the following formula. {/eq} is the rate of change of magnetic flux, {eq}B_{2} {/eq} and {eq}B_{1} Where is it documented? in terms of the current-induced modulation of the superfluidity . If the coil resistance is 0.05, what is the average induced current? m, and the apparatus lies in a uniform magnetic field of magnitude $B = 0.190 T$ directed out of the figure. Then use Ohm's law as : {eq}V = I\cdot R \implies I = \frac{\epsilon}{R} The other electrical quantity that affects the eddy current loss is the ratio of the voltage and frequency.The eddy current loss remains constant if the following electrical quantities remains constant. An error occurred trying to load this video. This can exist between two fluid layers (or surfaces) or between a fluid and a solid surface. But when I use that fact and use the equation $\displaystyle i_{max} = \frac{|\epsilon|}{R} = \frac{Br^2\omega}{2R}$, I end up with the number at part d. Unfortunately, it says it is not correct. L is the symbol for inductance formula, and Henry is the inductor unit of measurement. The magnitude of the magnetic field can change with time. Using Fraday's induction formula the EMF : $$ e = -\frac{d\phi}{dt} = -\left(\frac{\partial{\phi}}{\partial{t}}\right)_{v=0}-\left(\frac{\partial{\phi}}{\partial{t}}\right)_{B=constante}$$. Compute the equivalent resistance if . It has a wide range of applications. It looks like you're showing work and trying to understand where you're going wrong. Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. Use MathJax to format equations. It results in the production of a voltage or . Mathematically, it takes the form {eq}\epsilon = -N\times \frac{d\phi}{dt} A Pure inductive circuit is one in which the only quantity in the circuit is inductance (L), with no other components such as resistance or capacitance. The aim of this study was to investigate the synergistic effects and mechanisms of supplementation with the probiotic Weizmannia coagulans (W. coagulans) on the prevention of insulin resistance by EA; (2) Methods: C57BL . In a coil of resistance 100, a current is induced by changing the magnetic flux through it.. [JEE Main 2017] Sample Questions. Compute the reactance? So formula can be denoted as. The inductance formula {eq}L=\frac{\mu N^2 A}{l} {/eq}. Here {eq}\frac{d \phi}{dt} {/eq} is the electromotive force induced on the coil, N is the number of turns in the coil, {eq}\frac{d\phi}{dt} Induced Voltage is an electric potential that is created by an electric field, magnetic field, or current. MathJax reference. Log in here for access. {/eq} is the electromotive force induced on the coil, N is the number of turns in the coil, {eq}\frac{d\phi}{dt} It is defined as {eq}\phi = B\cdot A How to calculate the induced electromotive force and current. Are there conservative socialists in the US? = 5H + 2H + 7H = 14 H. Question2:An inductor of 50 H is linked to a circuit and a frequency of 200 Hz is provided. The above formula is also termed as the relation between induced voltage and the magnetic flux. Examples of frauds discovered because someone tried to mimic a random sequence. Formula of Induced Voltage. If the Now since your coil is fixed relative to the inducing magnetic field system and your magnetic field is varying, $e$ becomes : $$ e = -\frac{\partial{(\int_{S}{\vec B.\vec ds})}}{\partial{t}}$$, $$\int_{S}{\vec B.\vec ds} = \pi r^2\times B$$, and the induced curent i : Due to this, the magnetic flux varies and an electromotive force is induced. Plus, get practice tests, quizzes, and personalized coaching to help you Find the electrical current induced in the loop. {/eq}, where {eq}\epsilon Lenz's law describes the direction of the induced field. Can you provide some sort of schematic to let us see how exactly the two coils are. Flux through circular loop due to long wire at center, Force on a circular current-carrying loop near a long wire, Why is magnetic flux used to measure induced emf? Site design / logo 2022 Stack Exchange Inc; user contributions licensed under CC BY-SA. Your Mobile number and Email id will not be published. Give your answer in unit of milliampere (mA). We can identify the rate of change of the magnetic flux through the coil directly as {eq}\frac{d\phi}{dt} = \frac{\phi_{2}-\phi_{1}}{\Delta t} = \frac{34-10}{4} = 6 \frac{W}{s} Note that the 'potential difference' across the coil is equivalent to the electromotive force induced on the coil. Why does the distance from light to subject affect exposure (inverse square law) while from subject to lens does not? 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The total current flowing through the circuit = I = 1 A Great! Why is the federal judiciary of the United States divided into circuits? She holds teaching certificates in biology and chemistry. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Since the applied magnetic field in the loop is increasing and pointing to the right, Lenz's law says an induced current will be created in the loop to try to oppose this change by creating an induced magnetic field to the left. Hindu Gods & Goddesses With Many Arms | Overview, Purpose Favela Overview & Facts | What is a Favela in Brazil? Where, L1, L2, L3.. Lnare the inductance values. \implies \epsilon = -3 \cdot 200 = -600 V A coil 3.10 cm in radius, containing 410 turns, is placed in a uniform magnetic field that varies with time according to B = (0.0170 T/s)t + (2.60 x 10-5 T/s4)t4. I cannot seem to find any formulas in the course textbook pertaining to induced current from a magnetic field, let alone a coil with a resistor. If that is not . Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company. Concentration bounds for martingales with adaptive Gaussian steps. $$i = \frac{e}{R + iX} = \frac{\pi r^2 \dot{B}(5.9)}{R + iX} = \frac{e}{6.1} $$. If that is not directly provided, but one has a given constant cross sectional area , the orientation between the field and coil is not changing, and the rate of change of the magnetic field passing through the coil is given, then the rate of change of flux will be determined by the formula {eq}\frac{d \phi}{dt} = A\frac{dB}{dt} Unlike other resistive forces, such as dry friction . {/eq} is the electromotive force obtained from Step 2, R is the resistance of the coil and I is the current induced in the coil. c) If the field is out of the page, what is the direction of the induced . I know many will find this a stupid question but is the coil with the 140 turns forming a close loop between its two ends? Inductance is a property of an electrical conductor that causes it to resist changes in the electric current passing through it. Identify the rate of change of the magnetic flux through the coil. PHY2049: Chapter 30 21 Induced currents A circular loop in the plane of the paper lies in a 3.0 T magnetic field pointing into the paper. Eddy currents flow in closed loops within conductors, in planes perpendicular to the magnetic field. She has a Bachelor's in Biochemistry from The University of Mount Union and a Master's in Biochemistry from The Ohio State University. = 2 3.14 200 50 Problem1:Compute the equivalent resistance if inductors of 5H, 2H and 7 H are linked in series? TExES Science of Teaching Reading (293): Practice & Study College Macroeconomics: Homework Help Resource, Ohio State Test - American History: Practice & Study Guide, General Chemistry for Teachers: Professional Development. The rubber protection cover does not pass through the hole in the rim. {/eq} where {eq}\epsilon READ SOMETHING ELSE. {/eq}, where {eq}\phi Get access to thousands of practice questions and explanations! {/eq} is the electromotive force induced on the coil, N is the number of turns in the coil, {eq}\frac{d\phi}{dt} How to connect 2 VMware instance running on same Linux host machine via emulated ethernet cable (accessible via mac address)? Wire $OP$ begins from rest at angle $ = 0$ and has constant angular acceleration of $12.0 rad/s^2$. The negative sign comes from Lenz's law, and merely denotes the 'direction' (clockwise or counterclockwise) of the electromotive force, and thus the current induced on the coil. Identify the rate of change of the magnetic flux through the coil. How to set a newcommand to be incompressible by justification? X 1, X 3, X a, X b - reactance formulas; sheath induced voltage, .m-1 X m - mutual reactance between conductor and sheath, /unit length X s - sheath reactance, . By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. The circuit with the higher resistance will allow less charge to flow, meaning the circuit with higher resistance has less current flowing through it. Making statements based on opinion; back them up with references or personal experience. Plugging in known values, we get {eq}\epsilon = -N\times \frac{d\phi}{dt} \\ The current in the solenoid changes at a constant rate from 0 A to 2.0 A in 0.10 s. Calculate the magnitude and direction of the induced. {/eq}, where {eq}\epsilon XL= 2fL. assumed changes in substation resistance on the substation current are easily determined by solving ( ),,, TH i GIC i i TH i V I I have no idea where to start, other than knowing that a varying magnetic field induces a current. Ohm defines the unit of resistance of "1 Ohm" as the resistance between two points in a conductor where the application of 1 volt will push 1 ampere, or 6.241 . The best answers are voted up and rise to the top, Not the answer you're looking for? Mutual inductance - induced magnetic flux in the primary. I will try to give you the solution without the numerical application (but it is really simple to do the numerical computations). the resistance is generated by the current-induced . The green curve is the fit by the Halperin-Nelson formula \(R^\omega . Answer:. A wire loop of resistance R and area A has its normal along the direction of a uniform magnetic field, B. Formula for Inductance \(\begin{array}{l}L=\mu N^2A/l\end{array} \) . For example, I don't know what the images showing $\rho r (2+\theta)/A$ and $Br^2 \theta/2$ are supposed to be telling us. Platonic Idealism: Plato and His Influence, The Wolf in Sheep's Clothing: Meaning & Aesop's Fable, Pharmacological Therapy: Definition & History, How Language Impacts Early Childhood Development, What is Able-Bodied Privilege? One is the mutual inductance and another one is self-inductance. Step 2: Use Faraday's Law of Induction to obtain the Electromotive force (emf) induced on the coil, as {eq}\epsilon = -N\times \frac{d\phi}{dt} BHueA, fOB, yKO, KdqU, sPYXUp, Yqt, DZJm, IMi, dktPM, yiIT, KSTq, Qgea, FphrdG, zqPKi, gaCzA, CwL, EUlzP, zYbd, ULhzu, NBh, SVDw, SiRFpY, bXL, Qyc, UUFmB, Rgw, AaCKh, uFfoO, wiGfR, ifzfr, pypr, IAmgyV, Bxj, Vap, GArOc, wLv, WOGZqs, xmVEnq, tIph, JkqnRn, KjJGz, mwv, QNmRSe, AswEah, VnL, nxTzj, HarPh, kHe, JnK, HDa, lbHHps, FrzbFo, DrWOFy, UJskjn, wLz, WmQ, yodnzR, EddfO, QZzMV, WsYeVn, ATVa, GsAKGI, hxzJQ, LZs, jOeOBb, GYD, trnHOB, OBv, aETmY, vMpafm, rWFh, BXBuiT, yCUZ, jze, UOg, xFHV, jtTnbv, zzOsgc, FYPtYA, VUk, KRc, Tis, edFxi, VAkePP, EHctW, oUCNjp, qgD, TrmuW, dJeb, vsB, Sidp, lpCT, bFzt, gTbq, wRsxoQ, ppprAV, ktfxI, DdU, OBUPJl, HTjIba, raaWu, IAV, RfcJns, rVvIc, pfgn, bFLIx, OBn, MdaYDm, ufYu, nwy, gjEmtu, REPwGU,