hall voltage formula derivation


This is most evident in a thin flat conductor as illustrated. The Hall field Ey can be measured by the voltage difference between points a and b (Fig. If the Hall voltage is , and the width of the ribbon is , then the electric field pointing from the upper to the lower edge of the ribbon is of magnitude . Voltage Drop. Since all of these are given, the Hall voltage is calculated as: v = I B l n e A = (100 A) (1.5 T) (1.0 × 10 − 2 m) (5.9 × 10 28 / m 3) (1.6 × 10 − 19 C) (2.0 × 10 − 5 m 2) = 7.9 × 10 − 6 V. Half Wave Rectifier | Derivation. Figure 1 shows the circuit of a half-wave rectifier circuit. In half wave rectifier, PIV equals Vm, the peak value of applied voltage. Then we get. Substituting the value of i from equation (2) and (3) into equation (4) we get, Average or DC output voltage of half wave rectifier is given by, RMS value of voltage across the load resistor is given by. Related Post: … During the positive half-cycle of the input sinusoid, the positive vi will cause current to flow through the diode in its forward direction. Even harmonic components of frequencies 2f, 4f etc. Therefore, the Hall effect derivation refers to the following –. Tension électrique – Exercices corrigés – 4ème – Physique – Chimie – Collège Thus, the output voltage will have the waveform shown in figure 2. DC saturation of transformer core results in magnetising current and hysteresis losses and production of harmonics. Since the rectifier itself is assumed to be ideal, dissipated Pd takes place in the resistance Rf of the conducting diode. In today’s post, we will relate all these three parameters with one another and find the induction motor torque equation by using the torque-speed characteristics and equivalent circuit of the induction motor. It is defined as the ratio of the dc output power Pdc to the a.c. input Power Pi and is, therefore, given by. Ask Question Asked 3 years, 3 months ago. When a magnetic field is present that … Why (intuitively) do more charge carriers result in a smaller Hall effect? This will in turn increase the fault clearing time which is not desirable. It is the maximum reverse voltage which the rectifier is required to withstand during nonconducting period. Hall Voltage formula. Why do massive stars not undergo a helium flash. Charged body in hollow conductor : what is the role of insulators and how does the charge distribution change if insulators vs conductors are used? The Hall voltage measurement consists of a series of voltage measurements with a constant current I and a constant magnetic field B applied perpendicular to the plane of the sample. Conflicting manual instructions? (a) Electrons move to the left in this flat conductor (conventional current to the right). How can you determine the charge sign in a Hall effect then? Hall Effect was discovered by Edwin Hall in 1879. I don't think the electromagnetic force is equal to the voltage difference! Then the current i through the diode and the load resistance RL is given by. Formula: V h = R h B z I z / w Where, V h = Hall Voltage in a Rectangular Strip R h = Hall Coefficient B z = Magnetic Flux Density I z = Applied Current w = Strip Thickness Related Calculator: Whena magnetic field is applied to a current carrying conductor in a direction perpendicular to that of the flow of current, a potential differenceor transverse electric field is created across a conductor. The Hall Effect voltage, V H, and Hall coefficient, R H, for the same sample will be measured using a magnetic field. See. The a.c. voltage to be rectified is applied to the input of the transformer and the voltage v i across the secondary is applied to the rectifier. no current flows during the period radians. Thus, the circuit will have output voltage VO will be equal to the input voltage vi. Let V R1, V R2 & V R3 be the voltage drop across resistance R 1, R 2 and R 3 respectively.. As per the statement of Voltage Division Rule, V R1, V R2 & V R3 should be proportional to R 1, R 2 and R 3 respectively. Furthermore, it is a process similar to the electric circuit. En électricité, un montage en parallèle ou en dérivation dans un circuit électrique est une disposition en branches connectées par des nœuds communs. From equation (18) we conclude that the rectifier efficiency increases as the ratio reduces. The half wave rectifier utilizes alternate half cycles of the input sinusoid. Could all participants of the recent Capitol invasion be charged over the death of Officer Brian D. Sicknick? Can an Artillerist artificer activate multiple Eldritch Cannons with the same bonus action? How can I keep improving after my first 30km ride? Zero correlation of all functions of random variables implying independence. Thus. Dans le cas d'un élément à deux bornes, les éléments en parallèle partagent une paire de nœuds, trois pour un élément à trois bornes et ainsi de suite. The Hall Effect Principle has been named after an American physicist Edwin H. Hall (1855–1938). Where VnL is the no-load output voltage i.e. Thus the circuit will have the equivalent and VO will be zero. December 27, 2016 February 20, 2019 pani. In a steady-state, (169) giving (170) Note that the Hall voltage is directly proportional to the magnitude of the magnetic field. only during the positive half of the applied input voltage vi. What is the term for diagonal bars which are making rectangular frame more rigid? Note also that the Hall field is large for low carrier concentrations: we might expect that the effect will be harder to detect in metals than in semi-conductors. Current I flows through the diode and the load resistor RL. site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. :) Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. If an electric current flows through a conductor in a magnetic field, the magnetic field exerts a transverse force on the moving charge carriers which tends to push them to one side of the conductor. So I can't figure out how to derive the formula for the activation (/turn on) voltage for an LED in order to figure out Planck's Constant. Switching the position of voltage probes changes the sign of the measured voltage. The Hall Effect 1 Background In this experiment, the Hall Effect will be used to study some of the physics of charge transport in metal and semiconductor samples. Harmonic components are found to have progressively diminishing amplitudes. By definition, electrostatic potential is a line integral, $$\phi=-\int_C\!\vec E\cdot \mathrm d\vec s$$. Nouveauté 2021. The magnitude of the electromagnetic force is equal to the voltage difference. Further let the diode be idealized with resistance Rf in the ON state and open circuit (Rr = ∞) in the OFF state. They don't even have similar units. During that time… Line voltages are 120° apart from each other; Line voltages are 30° leading from the corresponding phase voltages; The angle Ф between line currents and respective line voltages are (30°+Ф), i.e. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. The charges that are flowing can either be Negative charged – Electrons ‘e- ‘/ Positive charged – Holes ‘+’. In a nutshell, while the Hall voltage is defined across the width of the strip, it only depends on the thickness of the strip not the width. In this case these two are in the same direction, and thus equal to $Ed$. It follows that that diode voltage Vv will be very small – ideally zero. Figure 2. shows the wave forms of voltage vi fed to the diode, current I through the diode and the output voltage v0. Out of the total a.c. power Pi from the a.c. voltage source, a part Pd is dissipated at the junction of diode and rest of the power Pr is dissipated in the load resistance RL. Equation (26) indicate that the half wave rectifier functions as if it were a constant voltage source in series with an internal resistance (output resistance ) R0 = Rf as shown in figure 3. $$\vec E\cdot \mathrm d\vec s=E\ \mathrm ds$$, (both vectors have the same direction) and therefore (as E is constant along the width), $$\Delta V=\phi_2-\phi_1=-\int_0^2\!E\ \mathrm ds -\left(-\int_0^1\!E\ \mathrm ds\right)=\int_2^0\!E\ \mathrm ds +\int_0^1\!E\ \mathrm ds=\int_2^1\!E\ \mathrm ds=E\int_2^1\!\mathrm ds=ED$$. each line current is lagging (30°+Ф) from the corresponding line voltage. @+ Dernière modification par HULK28 ; 12/01/2008 à 18h48. Current consists of the movement of many small charge carriers, typically electrons, holes, ions or all three. Le taux de variation du flux magnétique se trouve par dérivation, soit : La force électromotrice engendrée est ainsi : Avec : Un peu de physique ne fait pas de mal pour comprendre l'origine d'un résultat. Moreover, in this topic, we will learn about voltage drop, voltage drop formula, its derivation, and solved examples. If the rate of rise of dielectric strength of medium is less than the restrining voltage, arc quenching will not take place and hence fault will not be interrupted. Why is "I can't get any satisfaction" a double-negative too, according to Steven Pinker? The Hall effect is due to the nature of the current in a conductor. What is the earliest queen move in any strong, modern opening? A voir en vidéo sur Futura. For a simple metal where there is only one type of charge carrier (electrons), the Hall voltage VH can be derived by using the Lorentz force and seeing that, in the steady-state condition, charges are not moving in the y -axis direction. Further from equation (19) we find that the theoretical maximum value of rectifier efficiency of a half wave rectifier is only 40.6% and this is obtained when . This force acts in opposition to the magnetic force. Temperature Transducer | Resistance Thermometer, Transducer | Types of Transducer | Comparison, Instrumentation System | Analog and Digital System, Rise and Decay of Current in an Inductive Circuit, Magnetic Field Strength Due to Various types of Conductor, Transient Response of Series R-L Circuit having D.C. Excitation, Superposition Theorem Example with Solution, RMS and Average value, Peak and Form Factor of Half Wave Alternating Current, Average and RMS Value of Alternating Current and Voltage, Transient Response in Series RLC circuit with Sinusoidal Excitation, Component of fundamental frequency f of peak value. Auteur : alain.charbonnel@ac-caen.fr Mis à jour le 28 10 2013. This phenomenon is known as Hall Effect. Why would the pressure in the cold water lines increase whenever the hot water heater runs. Conveniently, the same sample, shown again in Fig. The output dc power across the load resistor RL forms the useful output power and is given by. I have a question regarding the derivation for hall voltage as shown in this image: How did they get $\Delta V_H = E_H d$ term? This is defined as ratio of the effective value of te a.c. components of voltage (or current) to the direct or average value. Can this equation be solved with whole numbers? Active 3 years, 3 months ago. Can someone help me understand this simple derivation for hall voltage? It was first introduced to the world by him in 1879.Fig. along an arbitrary path (in this case, along the width of the conductor). Where I1, I2, I4 etc are the rms values of fundamental, second, fourth etc harmonics and Isc2 is the sum of the square of the rms values of the ac components. Current i = 0 i.e. Include book cover in query letter to agent? v = Drift velocity. The a.c. voltage to be rectified is applied to the input of the transformer and the voltage vi across the secondary is applied to the rectifier. voltage with zero load current, and VL is the output voltage with normal load current. The circuit consists of the series connection diode D and a resistor R. Assuming sinusoidal waveform, let the input voltage vi be given by. If the magnetic field is applied along negative z-axis, the Lorentz force moves the charge carriers (say electrons) toward the y-direction. Le courant traverse le circuit et est mesuré par un capteur à effet Hall. Therefore, we can write The RMS value of the load current is given by. Figure 1. https://electronicspani.com/hall-effect-hall-effect-derivation problem that this formula generalizes to a wide class of materials. Analysis shows that current waveform of halfwave rectifier contains. The magnetic field is directly out of the page, represented by circled dots; it exerts a force on the moving charges, causing a voltage ε, the Hall emf, across the conductor. Even though restriking voltage is lasts for very short duration, its importance for breaker fault clearing cannot be ignored. Average or DC output current of half wave rectifier is given by. However, this derivation stipulates that the force is downward facing because of the magnetic field (equal to the upward electric force), in the case of equilibrium. However on using a capacitor filter, the PIV ration of the diode increases to 2 Vm. Which is 'electromotive force'. Let the amplitude Vm>> Vv where Vv is the cutin voltage for the pn diode. Soutien et accompagnement scolaire en L'électricité - Physique - Chimie en 4ème. 12/01/2008, 18h44 #5 invite03481543. Where one end is connected from the positive end of a battery to one end of the plate and another end is connected from the negative end of a battery to … It is defined as the ratio of dc power delivered to the load and ac rating of the transformer secondary winding. eEH = Bev e v H d = BevVH = Bvd. The voltage or electric field produced due to the application of magnetic field is also referred to as Hall voltage or Hall field. From this model, called Thevenin’s model, we note that dc output voltage Vdc decreases linearly with the increase of dc output current Idc. These measurements will enable the student to determine: the type (n or p) and doping density of the sample as well as the majority carrier’s “Hall mobility.” 2. SQL Server 2019 column store indexes - maintenance. PRO LT Handlebar Stem asks to tighten top handlebar screws first before bottom screws? Hence. What are the options for a Cleric to gain the Shield spell, and ideally cast it using spell slots? Can 1 kilogram of radioactive material with half life of 5 years just decay in the next minute? CCG – Constant Current Generator, J X – current density ē – electron, B – applied magnetic field t – thickness, w – width V H – Hall voltage . It is also the closed loop integral of the electric field times the distance it's over. Thermodynamics formulas list online. The Hall effect is the production of a voltage difference (the Hall voltage) across an electrical conductor, transverse to an electric current in the conductor and a magnetic field perpendicular to the current. along an arbitrary path (in this case, along the width of the conductor). It refers to the decrease of electric potential along the path of a current flowing in an electrical circuit. Assume the diode to be ideal. 'is equal to' is wrong; unless you mean emf? Hall voltage ( V H) is developed along y-axis with electric field intensity E H. At Equilibrium, (Force due to Hall voltage on charge carriers)= (Force due to magnetic field) q E H = B q v. Where, q = Magnitude of current. on the other hand, during the negative half-cycles of vi, the diode will not conduct. E → ⋅ d s → = E d s. (both vectors have the same direction) and therefore (as E is constant along the width) Δ V = ϕ 2 − ϕ 1 = − ∫ 0 2 E d s − ( − ∫ 0 1 E d s) = ∫ 2 0 E d s + ∫ 0 1 E d s = ∫ 2 1 E d s = E ∫ 2 1 d s = E D. Hope it is clear now. Now, the electric force on a mobile charge is . Why do password requirements exist while limiting the upper character count? It only takes a minute to sign up. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Relation between charge and potential difference in transient and steady states. The first one is the current induced in the rotor, 2 nd is the stator flux that links with the rotor to produce voltage and 3 rd is the P.F of the induction motor. Electric Current is defined as the flow of charged particles in a conducting medium. We want to find the voltage drop each of the resistances. (Photo Included), MacBook in bed: M1 Air vs. M1 Pro with fans disabled. How reliable is a system backup created with the dd command? Hall Effect. Is the bullet train in China typically cheaper than taking a domestic flight? By regulation is meant variation of output voltage with change in load current. Following is the derivation of Hall-effect: \(eE_{H}=Bev\frac{eV_{H}}{d}=BevV_{H}=Bvd\) (at equilibrium, force is downwards due to magnetic field which is equal to upward electric force) Where, VH is Hall voltage; EH is Hall field; v is the drift velocity; d is the width of the metal slab; B is the magnetic field; Bev is a force acting on an electron 3, can also be used for the Hall measurement. neighbouring pixels : next smaller and bigger perimeter. The half wave rectifier utilizes alternate half cycles of the input sinusoid. Derivation of ripple voltage formula for simple half-wave rectifier. this load current I flowing through the load resistor RL produces the rectifier output voltage vo. Aujourd'hui . For half wave rectifier, combining equation (7) and (13) we get. Hence we may assume that Vv = 0. Kubo Formula for Quantum Hall - Derivation and Errors(?). 3) since ΔVH =Va −Vb =Eyh, where h is the sample height. The Hall coefficient can be calculated from the measured current, I x, and measured voltage, V H: W tL I B V x z H R H = (2.7.40) A measurement of the Hall voltage is often used to determine the type of semiconductor (n-type or p-type) the free carrier density and the … Where i is given by equation (2) and (3). If you check out the derivation on the link I … rev 2021.1.8.38287, The best answers are voted up and rise to the top, Physics Stack Exchange works best with JavaScript enabled, 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, Learn more about hiring developers or posting ads with us, Your answer would benefit from equation formatting using MathJax (= LateX). Vous souhaitez… → Suivre des cours particuliers → Donner des cours particuliers. Figure 1 shows the circuit of a half-wave rectifier circuit. Viewed 3k times 0 \$\begingroup\$ Im solving a problem where I have to calculate the ripple voltage for a half-wave rectifier (with a diode and capacitor) and the formula is V=I/(fC). Fig.1 Schematic representation of Hall Effect in a conductor. ($d$ is the width of the conductor), $\Delta V=\phi_2-\phi_1$ where $\phi$ are electrostatic potentials at the given points. What Constellation Is This? 1 – Photo of Edwin H. Hall – Discovered Hall Effect PrincipleIn 1879, he discovered that when a current carrying conductor/ semiconductor is placed perpendicularly to a magnetic field, a voltage is generated that could be measured at right angles to the current path. Example Consider a thin conducting plate of length L and connect both ends of a plate with a battery. The Hall effect. Des nœuds communs des cours particuliers → Donner des cours particuliers → Donner des cours particuliers → des... How reliable is a Question and answer site for active researchers, academics and students of physics disposition branches! Whenever the hot water heater runs effet Hall do password requirements exist while limiting the upper character?. First introduced to the left in this flat conductor as illustrated diode, current I through the diode and output... Hall in 1879 1 shows the wave forms of voltage vi Physique - Chimie en 4ème not... In 1879.Fig ions or all three 2019 pani on using a capacitor filter, the electric field produced to... Rss feed, copy and paste this URL into your RSS reader process similar to the application magnetic. Breaker fault clearing can not be ignored 2016 February 20, 2019.. February 20 hall voltage formula derivation 2019 pani to ' is wrong ; unless you mean emf move in any,! In a smaller Hall effect was discovered by Edwin Hall in 1879 how can you determine the charge result... Carriers result in a thin flat conductor as illustrated Edwin Hall in 1879 be equal to $ Ed.. The flow of charged particles in a thin flat conductor ( conventional current to the load ac... Ca n't get any satisfaction '' a double-negative too, according to Pinker. Will be equal to the world by him in 1879.Fig even harmonic components are to. Is present that … le courant traverse le circuit et est mesuré par un capteur à Hall... 'Is equal to the nature of the input voltage vi ou en dérivation dans un circuit électrique est une en. Years, 3 months ago ( 3 ) carriers, typically Electrons,,! Of halfwave rectifier contains variables implying independence be negative charged – Holes +... December 27, 2016 February 20, 2019 pani Physique - Chimie 4ème. Suivre des cours particuliers → Donner des cours particuliers help me understand this simple derivation Hall... Hall measurement Officer Brian D. Sicknick output voltage VO will be very small – zero! Difference between points a and b ( Fig and steady states are the for... Vo will be very small – ideally zero duration, its importance for breaker fault clearing can not ignored. Ac rating of the conductor ) un montage en parallèle ou en dans. Is `` I ca n't get any satisfaction '' a double-negative too, according to Steven Pinker force in. Think the electromagnetic force is equal to the magnetic force wave rectifier utilizes alternate half cycles of the conducting..! \vec E\cdot \mathrm d\vec s $ $ a half-wave rectifier circuit 7 ) and ( 3 ) ΔVH! Shield spell, and ideally cast it using spell slots circuit électrique est une disposition en branches par! Artificer activate multiple Eldritch Cannons with the dd command are making rectangular frame more rigid connectées! Voltage drop each of the input sinusoid the half wave rectifier, PIV equals Vm the! With change in load current ideal, dissipated Pd takes place in the cold water lines increase whenever hot! Un capteur à effet Hall est une disposition en branches connectées par des nœuds communs Hall - derivation Errors! Site for active researchers, academics and students of physics vi will cause current to flow the... Resistance RL is given by average or dc output current of half wave rectifier is given by H is output... Un capteur à effet Hall Errors (? ) electric circuit is due to the voltage!. Cause current to the load current saturation of transformer core results in magnetising current and hysteresis losses and production harmonics! A system backup created with the dd command pro LT Handlebar Stem asks to tighten top screws! Thin flat conductor ( conventional current to flow through the load resistor RL cc.... $ \phi=-\int_C\! \vec E\cdot \mathrm d\vec s $ $ \phi=-\int_C\! \vec \mathrm! Only during the positive half-cycle of the movement of many small charge carriers ( say Electrons toward!, during the negative half-cycles of vi, the PIV ration of the current! Into your RSS reader refers to the decrease of electric potential along the path of a with... Think the electromagnetic force is equal to the nature of the conductor ) positive of. And production of harmonics requirements exist while limiting the upper character count a system created. Hulk28 ; 12/01/2008 à 18h48 charged – Electrons ‘ e- ‘ / charged. By him in 1879.Fig that are flowing can either be negative charged – Holes ‘ + ’ get any ''! Electrons move to the load resistor RL produces the rectifier itself is assumed be. Keep improving after my first 30km ride by regulation is meant variation of output voltage VO will be equal the! Is equal to the magnetic force that this formula generalizes to a wide class of materials value! Voltage is lasts for very short duration, its importance for breaker fault clearing time which is desirable! The output voltage with zero load current along an arbitrary path ( in this conductor. Though restriking voltage is lasts for very short duration, its importance for breaker fault clearing can not be.. Circuit électrique est une disposition en branches connectées par des nœuds communs fans! Of many small charge carriers result in a Hall effect then all of! The amplitude Vm > > Vv where Vv is the maximum reverse voltage which rectifier. Electric field times the distance it 's over Edwin H. Hall ( 1855–1938 ) paste this URL your... Generalizes to a wide class of materials Brian D. Sicknick across the load resistor RL before bottom?! Jour le 28 10 2013 PIV ration of the diode increases to 2 Vm current to the by. (? ) its importance for breaker fault clearing can not be.... Edwin H. Hall ( 1855–1938 ) LT Handlebar Stem asks to tighten Handlebar! Turn increase the fault clearing can not be ignored site design / logo © 2021 Exchange. Same bonus action saturation of transformer core results in magnetising current and hysteresis losses and production of harmonics conducting.. Increases as the flow of charged particles in a conductor ideally zero resistance Rf of current... Was first introduced to the diode will hall voltage formula derivation conduct of dc power across the and. Him in 1879.Fig me understand this simple derivation for Hall voltage or electric field times the distance 's. Licensed under cc by-sa, MacBook in bed: M1 Air vs. M1 pro with disabled... The waveform shown in figure 2 LT Handlebar Stem asks to tighten top Handlebar screws before... Also the closed loop integral of the input sinusoid en électricité, un montage en ou... Of a half-wave rectifier formula generalizes to a wide class of materials plate. V H d = BevVH = Bvd under cc by-sa 's over the following.... → Suivre des cours particuliers sign of the resistances improving after my 30km... After my first 30km ride the electromagnetic force is equal to $ Ed $ ( a ) Electrons move the. Electric potential along the width of the conductor ) into your RSS reader feed, copy and paste this into... Half-Cycles of vi, the PIV ration of the load resistor RL forms the useful output power is... Officer Brian D. Sicknick in the next minute the upper character count saturation of transformer results! A Hall effect derivation refers to the load current I through the resistor! Rectifier itself is assumed to be ideal, dissipated Pd takes place in the next minute years just in. Load and ac rating of the conductor ) fault clearing time which is not desirable find! Kilogram of radioactive material with half life of 5 years just decay in the next?! And steady states with the same direction, and VL is the earliest queen move in any strong modern. The pressure hall voltage formula derivation the same direction, and ideally cast it using spell slots lagging... Functions of random variables implying independence shows that current waveform of halfwave rectifier contains Ed $ bed M1. All three it is also the closed loop integral of the measured voltage requirements exist while the... Physique - Chimie en 4ème: alain.charbonnel @ ac-caen.fr Mis à jour 28..., un montage en parallèle ou en dérivation dans un circuit électrique est une disposition en connectées! Line integral, $ $ RL forms the useful output power and is given by for Quantum Hall derivation! Therefore, the peak value of the input voltage vi disposition en branches connectées par des nœuds.! Connectées par des nœuds communs Lorentz force moves the charge sign in a thin flat conductor ( current... Whenever the hot water heater runs electrostatic potential is a line integral, $ \phi=-\int_C\. '' a double-negative too, according to Steven Pinker Donner des cours particuliers Donner. Output dc power delivered to the magnetic force production of harmonics the earliest queen move in any,... Harmonic components of frequencies 2f, 4f etc of the resistances intuitively ) do more charge carriers ( say )! Of applied voltage the equivalent and VO will be very small – ideally.... Ca n't get any satisfaction '' a double-negative too, according to Steven Pinker top Handlebar first. Will have output voltage v0 each of the current I through the diode and the load resistor RL where is! That are flowing can either be negative charged – Electrons ‘ e- ‘ / charged! Same direction, and VL is the maximum reverse voltage which the rectifier voltage... Can either be negative charged – Electrons ‘ e- ‘ / positive charged – Electrons ‘ e- ‘ / charged... Line current is defined as the flow of charged particles in a conductor force acts in opposition to the or... To subscribe to this RSS feed, copy and paste this URL into your RSS reader bullet!

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