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The impedance and the reactance of the various AC circuits: 4. Check our website for more details. Besides NEET 2022 application form release date, learn about the application process, steps to fill the form, how to submit, exam date sheet etc online. As the current in the circuit becomes maximum. It is a measure of the sharpness of the resonance. If a current periodically changes its direction and magnitude then it is termed as alternating current. There will be two rounds of counselling for admission under All India Quota (AIQ), deemed and central universities, AIIMS, JIPMER, ESIC, and AFMC. Trick: Here the formulae of capacitive, inductive reactance and impedance play a major role in ans along with the power. 1. Average value of alternating current for first half equation is: Iav > = T / 20 I0sindt T / 20 dt = 2I0 = 0.637I0. The inductance of a choke-coil is 0.2 Henry and its resistance is 0.50 . There are two types of transformer: Step-up and Step-down transformers. Given, i = 0.3 sin (200t 40) A, L = 40mH =$40 \times 10^{-3} H $, $X_{L}$ = ${\omega L}$ = $200\times 400 \times 10^{-3}$ = 8, $V_{m}$ = $I_{m}\times X_{L}$ = $ 0.3 \times 8$ =2.4V. Use the sample questions given in the notes to evaluate your preparation level. For an AC circuit The voltage reading on the voltmeter V in the circuit shown below will be: : Here the formulae of capacitive, inductive reactance and impedance play a major role in ans along with the power. Hence over a full cycle the capacitor does not consume any energy from the voltage source. For a pure inductive circuit where only the inductor L is connected in the circuit with some alternating voltage source $v = v_{m}\sin(wt)$, the current flowing through the inductor circuit is, Current in this circuit lags behind the applied voltage source by phase difference of $\dfrac{\pi}{2}$, Impedance of the circuit is called inductive reactance = wL. At resonance, Z is minimum and current is maximum i.e. Root mean square of alternating current is defined as that value of steady current, which would generate the same amount of heat in a given resistance in a given time, as is done by the alternating current when passed through the same resistance for the same time. As per the union governments norms, NTA has released the NEET 2022 reservation criteria for different candidates categories (SC/ST/OBC/PwD), All India Quota, State Government Quota, Deemed Universities, and more. if frequency of a.c. is n then. Correct solution is 0.47W and the closest option is (a). The efficiency of a DC motor is given by: $\eta=\frac{\text { back emf }}{\text { emf of battery }}$, ${I_{av}} = \dfrac{{\int\limits_0^T {{I_0}\sin \omega dt} }}{{\int\limits_0^T {dt} }} = 0$, ${V_{av}} = \dfrac{{\int\limits_0^T {{V_0}\sin \omega dt} }}{{\int\limits_0^T {dt} }} = 0$, The RMS value of alternating current is also known as effective value or virtual value of ac. A circuit which has an inductor and capacitor connected in series is called an LC circuit. (a) impedance of the circuit at resonance. Go over the chapter's relationships between the physical quantities again. Direct current is the current that may or may not change in magnitude but does not change in its direction. Inductive reactance, Alternating current is a current whose magnitude changes with time, and direction reverses periodically. NEET 2022 state rank lists are based on the marks obtained in entrance exams. The unit of admittance is $(ohm){}^{ - 1}$ or Siemens. This will permanently delete All Practiced Questions. Peak and RMS Values of Alternating Current / Voltage, The common alternating current varying as a sine function of time, is given by I The average value of an AC, for one complete cycle is zero. The NEET test series for Physics, Chemistry and Biology that is based on the latest syllabus of NEET and also the Previous Year Question Papers.". Download the. According to the latest trends, the expected cut off mark for NEET 2022 is 50% for general category candidates, 45% for physically challenged candidates, and 40% for candidates from reserved categories. A DC motor converts direct current energy from a battery into mechanical energy of rotation. "NEET 2022 free online mock test series for exam preparation are available on the Vedantu website for free download. The power loss in A.C. circuit is (NEET - 2016), V=10 sin 340t = $V_{rms} = \dfrac{10}{\sqrt{2}}$, $X_{C}$ =$\dfrac{1}{\omega C}$ = $X_{C}$ = $\dfrac{1}{340\times 50 \times 10^{-6}}$ = 58.8, $X_{L} = {\omega L}$ = ${340\times 20 \times 10^{-3} }$ = 6.8, $Z = \sqrt{R^{2} + (X_{L}- X_{C})^{2}}$ = $Z = \sqrt{40^{2} + (58.8- 6.8)^{2}}$ = $\sqrt{4304}$, Or P = $(\dfrac{V_{rms}}{Z})^{2}\times R$. 2. We provide you year-long structured coaching classes for CBSE and ICSE Board & JEE and NEET entrance exam preparation at affordable tuition fees, with an exclusive session for clearing doubts, ensuring that neither you nor the topics remain unattended. Its unit is Siemens (S). For a step-up transformer, k > 1. i.e. It is based on the phenomenon of mutual induction. Its unit is ohm and dimensional formula is [ML2T-3A-2]. and hypotenuse represents impedance (Z) of the series LCR circuit as shown in figure above. Alternating Current MCQs for NEET. A DC motor converts direct current energy from a battery into mechanical energy of rotation. The series resonance circuit is known as acceptance circuit. Grab the concepts of alternating current and different AC circuits faster and score well in the competitive exam. In our domestic circuits, the frequency of AC is 50 Hz. The power factor of the circuit is (NEET 2020), Phase = $\tan\phi$= $\dfrac{ X_{C}}{R}$ = $\tan\dfrac{\pi}{3}$ = $\dfrac{\ X_{C}}{R}$, Phase=$\tan\phi$ = $\dfrac{X_{L}}{R}$ = $\tan\dfrac{\pi}{3}$ = $\dfrac{\ X_{L}}{R}$, From both above-mentioned equations, we have $X_{C} = X_{L}$, Hence, the circuit is in resonance and Z = R, So, power factor = $\cos\phi=\dfrac{R}{Z} $, Trick: Formula of phase is given as = $\tan\phi = \dfrac{X_{L} - X_{C}}{R}$, 1. A device which is used for converting either high voltage to low voltage or vice versa is called a transformer. Root mean square value of alternating current is defined as that value of steady current which produces same heating effect, in a resistance, in a certain time as is produced by the alternating current in same resistance in same time. Thus, the alternating current lags behind the alternating voltage by a phase angle of $\dfrac{\pi }{2}$ when ac flows through an inductor. Instantaneous power: The power in the AC circuit at any instant of time is known as instantaneous power. Frequency is measured in hertz (Hz), and 1 Hz = 1 cycle per second. I rms = I 0 /2 The value of the peak current is, Output of Secondary Voltage = $V_{s}$ = 24V, Power associated with Secondary $P_{s}$ = 12W, $I_{s}$ = $\dfrac{P_{s}}{V_{s}}$ = $\dfrac{12}{24}$ = 0.5A. : Quality factor of an L-C-R circuit is given by, Importance of Class 12 Physics Alternating Current, On proceeding further, students will learn the features of an, This chapter is very important as it teaches how to deduce the formula of the, Benefits of Vedantus Alternating Current Class 12 Notes for NEET, The concise description of all the principles and concepts in, Use the sample questions given in the notes to evaluate your preparation level. Generally, average or mean value of an AC means the average value of the given AC over one half cycle, i.e NEET Physics Syllabus is divided into units from class 11th and class 12th. which will help in boosting your confidence to score high marks in the NEET 2022 exam. To make your preparation easier and revisions better, download and use the Alternating Current Class 12 notes. (a) Alternating emf e and current I at any time are given by: e = e 0 sint, where e 0 = NBA. Quality factor is a measure of sharpness of resonance. Practice the more and more numerical questions from each as well. Get NEETprep's Unique MCQ Books with Online Audio/Video/Text Solutions via Telegram Bot, Analternatingcurrentisgivenasi=i1cost-i2sint. Therefore, is negative. 1. zero, Prefer Books for Question Practice? Here, N is total number of turns in the coil, A is face of the coil, B is strength of magnetic field applied and w is angular velocity of the armature coil. \ What \ is \ the \ r.m.s \ current \ value \ of \ an \ alternating \ current \ given \ by \ the \ equation \ of \ i=i_1\cos \omega t+i_2\sin \omega t?\end{array} \), \(\begin{array}{l}\frac{1}{\sqrt{2}}(i_1^2+i_2^2)^{1/2}\end{array} \), \(\begin{array}{l}\frac{1}{2}(i_1^2+i_2^2)^{1/2}\end{array} \), \(\begin{array}{l}\frac{1}{\sqrt{2}}(i_1+i_2)^{2}\end{array} \), \(\begin{array}{l}\frac{1}{\sqrt{2}}(i_1+i_2)\end{array} \), \(\begin{array}{l}Answer: (a) \frac{1}{\sqrt{2}}(i_1^2+i_2^2)^{1/2}\end{array} \). 1. Find Best Teacher for Online Tuition on Vedantu. The ques here focuses mainly on the phase difference between current and voltage in an inductive circuit. $E_{P}$, $I_{P}$ are the input voltage and current of the primary coil. The capacitive reactance is infinite for dc $\left( {\upsilon = 0} \right)$ and has a finite value for ac. NTA has announced the NEET 2022 application form release date on the official website https://neet.nta.nic.in/. Attempt Now. Vav = T / 20 V0sindt T / 20 dt = 2V0 = 0.637V0. The reciprocal of the reactance of an ac circuit is known as susceptance. So Enroll Now in this Free Class Using Code - MS25. A DC generator/Dynamo produces direct current from mechanical energy of rotation of a coil. The form of EMF induced is, $\varepsilon = {\varepsilon _o}\sin \omega t$. A circuit with a resistor and a capacitor connected in series is called a RC circuit. Average value of alternating current for first half equation is: $I_{a v>}=\dfrac{\int_{0}^{T / 2} I_{0} \sin \omega d t}{\int_{0}^{T / 2} d t}=\dfrac{2 I_{0}}{\pi}=0.637 I_{0}$, Similarly, for alternating voltage, the average value of first half cycle is, $V_{a v}=\dfrac{\int_{0}^{T / 2} V_{0} \sin \omega d t}{\int_{0}^{T / 2} d t}=\dfrac{2 V_{0}}{\pi}=0.637 V_{0}$, Average value of alternating current for second cycle is, $I_{a v^{\prime}}=\dfrac{\int_{T / 2}^{T} I_{0} \sin \omega d t}{\int_{T / 2}^{T} d t}=-\dfrac{2 I_{0}}{\pi}=-0.637 I_{0}$, It is defined as that value of steady current, which would generate the same amount of heat in a given resistance in a given time, as is done by the alternating current when passed through the same resistance for the same time. The voltage and current in the primary is. Thermscurrentisgivenby, In a step-up transformer, the turn ratio is 1:2. The form of EMF induced is $\varepsilon = {\varepsilon _o}\sin \omega t$ , where ${\varepsilon _0} = NAB\omega$ , max.emf induced. What is the frequency of ac mains in India? Find out where you need to focus more in this elaborate chapter and make your preparation level better. In an ac circuit we may define three types of power. It can be represented by a sine curve or a cosine curve, $I = {I_0}\sin \omega t$ Or $I = {I_0}\cos \omega t$. 2. The NTA will conduct NEET 2022 counselling at https://www.mcc.nic.in/. Important formulas of Alternating Current & Electromagnetic Waves Class 12 Physics JEE & NEET. The circuit consists of resistor, capacitor and inductor are called pure resistive, pure inductive and pure capacitive circuit. 4. $Z = \sqrt {{R^2} + {{({X_L} - {X_C})}^2}}$. Furthermore, you can check NEET 2022 dates for application, admit card, exam, answer key, result, counselling, etc along with other relevant information. Checkout NEET 2022 Question Paper Analysis : Last Minute Preparation Tips for NEET Physics. The alternating emf E at any time is given by the equation: The alternating current I at any time is given by: Following are a few important terms related to alternating current: 1. $I_{av}$ or $\bar{I}$ or $I_{av}=\dfrac{\int_{0}^{T} I_{0} \sin \omega d t}{\int_{0}^{T} d t}=0, V_{m}$ or $\bar{V}$ or $V_{a n}=\dfrac{\int_{0}^{T} V_{0} \sin \omega d t}{\int_{0}^{T} d t}=0$. Want to know which Engineering colleges in India accept the NEET 2022 scores for admission to Engineering? A Leclanche cell (e.m.f. Alternating Current. Its primary and working are the same as those of AC generators. $\dfrac{E_{S}\times I_{S}}{E_{P}\times I_{P}}$, Here $E_{S}$, $I_{S}$ are the output voltage and current of secondary coil and. Thus we have AC: $I = - {q_o}\omega \sin \omega t$ . #alternativecurrent #neet2022 #iitjee #formula #physics #whatsappstatusvideo #trending #class 12 In the following chapter, we have discussed alternating and direct current, average and rms value of alternating current, resistance offered by various elements (inductor, resistor and capacitor) to a.c , impedances and phases of ac circuits containing different elements, etc. Click Here to view all bookmarked questions of the chapter, It is also known as true power. An inductor 20 mH, a capacitor 50F and a resistor 40 are connected in series across a source of emf V=10 sin 340t. The impedance of the series LCR which is equal to the ohmic resistance in the circuit. In our domestic circuits, the frequency of AC is 50 Hz. The scorecard will include the roll number, application number, candidate's personal details, and the percentile, marks, and rank of the candidate. Hence current lags behind the voltage by a phase angle . 6. 1 cycle is a complete wave of an alternating current . 1.5V) is connected across the primary coil. Find the list of Engineering colleges accepting NEET scores in India, compiled by Vedantu. Candidates can easily evaluate their NEET preparation and work on the portion they need to and try to overcome lackings. The meters of the secondary indicate 200 volts at 8 amperes under these conditions. Here you will get all the Alternating Current Electromagnetic Waves formulas for class 12 , JEE and NEET examination. If the current maintains its direction constant it is called direct current. What are the key points that need to be practised for solving questions from Alternating Current ? Leave a Comment / Formula Bank. The ratio of the turns in primary and secondary coil is 20 : 1. You can check more details on Vedantu website. High Yield NEET MCQ Books for 11 th Physics & Chemistry. The ac circuit is an inductance dominated circuit. In conclusion we can say that the chapter Alternating Current has covered all the important formulae and concepts like Power factor, Impedance, Reactance offered by different electrical circuits, etc. Similarly, for alternating voltage: ${V_{rms}}$ OR ${V_{rms}} = \dfrac{{{V_0}}}{{\sqrt 2 }} = 0.707{V_0}$, Form factor = $\dfrac{{{I_{rms}}}}{{{I_{av}}}} = \dfrac{{\dfrac{{{I_o}}}{{\sqrt 2 }}}}{{\dfrac{{2{I_o}}}{\pi }}} = \dfrac{\pi }{{2\sqrt 2 }} = 1.11$, Inductive reactance: ${X_L} = \omega L = 2\pi \upsilon L$, Capacitive reactance: ${X_C} = \dfrac{1}{{\omega C}} = \dfrac{1}{{2\pi \upsilon C}}$, Admittance = $\dfrac{1}{\text{Impedance}}$ or $Y = \dfrac{1}{Z}$, Susceptance = $\dfrac{1}{\text{Reactance}}$, Capacitive susceptance = $\dfrac{1}{\text{Capacitive Reactance}}$, Quality factor: $Q = \dfrac{{{X_L}}}{R} = \dfrac{{{\omega _r}L}}{R}$, Average power: ${P_{av}} = {V_{rms}}{I_{rms}}\cos \phi = \dfrac{{{V_0}{I_0}}}{2}\cos \phi$, Apparent power: ${P_v} = {V_{rms}}{I_{rms}} = \dfrac{{{V_0}{I_0}}}{2}$, Power factor: $\cos \phi = \dfrac{R}{Z}$, $Z = \sqrt {{R^2} + {X_L}^2} and\cos \phi = \dfrac{R}{Z}$, $Z = \sqrt {{R^2} + {X_C}^2} and\cos \phi = \dfrac{R}{Z}$, $Z = \sqrt {{R^2} + {{({X_L} - {X_C})}^2}} and\cos \phi = \dfrac{R}{Z}$. 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Nearly 1-2 questions appear in the exam from this chapter, covering about 10 marks which makes about 2% of the total marks. 3. Students will be able to get simpler insights to understand these concepts and complete preparing this chapter easily. Are previous year questions enough for NEET ? NTA is responsible for the release of the NEET 2022 cut off score. Reciprocal of impedance is known as admittance. Students should practice enough numericals and learn formulae for solving the questions from the Alternating Current . Let an alternating voltage be applied across a pure resistance R. Then, Let $V = {V_0}\sin \omega t$ then for an LCR circuit: Impedance triangle is a right angled triangle, whose base represents ohmic resistance (R), perpendicular represents reactance $({X_L} - {X_C})$ and hypotenuse represents impedance (Z) of the series LCR circuit. Conclusion. Here, is the impedance and the current leads voltage by an angle, $\phi = {\tan ^{ - 1}}\left( {\dfrac{{{X_c}}}{R}} \right)$. Alternators are used for the generation of alternating current. AC voltage, v = V 0 sint. The efficiency of a DC motor is given by: $\eta=\frac{\text { back emf }}{\text { emf of battery }}$, Alternating current is the current which changes continuously in magnitude and in direction periodically. We have grown leaps and bounds to be the best Online Tuition Website in India with immensely talented Vedantu Master Teachers, from the most reputed institutions. where T is the period of ac and is frequency. NEET 2022 will now be conducted on 17-July-2022, and the exam registration closes on 20-May-2022. The reciprocal of the impedance of an ac circuit is known as admittance. AC circuit with a resistor and a capacitor: A circuit with a resistor and a capacitor connected in series is called a RC circuit. Total opposition offered by an AC circuit to the flow of current through it, is called its impedance Z. Now, let us move on to the important concepts and formulae related to NEET exams along with a few solved examples. Which of the following combinations should be selected for better tuning of an L-C-R circuit used for communication? If a current of 2.0 ampere (rms value) and frequency 50Hz is passed through it, what will be the potential difference across its ends ? Inductive reactance: It is the opposition offered by the inductor to the flow of alternating current through it. Solution: When an ideal capacitor is connected with an AC voltage source, current leads voltage by ${90^0}$ . The sinusoidal expression for the alternating current and alternating voltage. Such series LCR circuit is known as resonant series of circuit and the frequency of the AC supply is known resonant frequency. The RMS value of alternating current is also known as effective value or virtual value of ac. It is represented by ${I_{rms}}$ ,${I_{eff}}$ or${I_v}$ . Since, energy stored in the capacitor during charging is spent in maintaining charge on the capacitor during discharging. The mean or average value of alternating current voltage over one complete cycle is zero. On proceeding further, students will learn the features of an AC circuit with inductance, resistance, and capacitance. The common alternating current varying as a sine function of time, is given by I. Why cant the DC ammeter measure an alternating current? In this chapter, students will also get to learn about the Power in AC Circuit and Resonance, where we will study about the sharpness of resonance along with other major topics. Get plus subscription and access unlimited live and recorded courses. While deriving the formulae and equations for resistance offered by various elements (inductor, resistor and capacitor) to a.c., L.C Oscillations, we will also study about transformers and the power losses in a transformer with examples in the chapter Alternating Current. On the other hand, direct current is that which can change the magnitude but never changes its direction. Then the voltage across L and C cancels each other. Do you need help with your Homework? What is the current in the circuit : IfXL=XCthenthereadingofidealvoltmeteris: The core of a transformer is laminated to reduce energy losses due to, An electric motor operating on a 60 V dc supply draws a current of 10 A. Learn how the experts have framed the answers to the fundamental sample questions of the, Download Alternating Current NEET Notes Free PDF, Make your study material for this chapter complete by downloading the free PDF version of Alternating Current, CBSE Previous Year Question Paper for Class 10, CBSE Previous Year Question Paper for Class 12. It is represented by, Impedance triangle is a right angled triangle, whose base represents ohmic resistance (R), perpendicular represents reactance. Write the equation for the voltage across it if the inductance is 40 mH. AC Circuit Containing Pure Inductor only: $I = {I_0}\sin \left( {\omega t - \dfrac{\pi }{2}} \right)$, Thus, the alternating current lags behind the alternating voltage by a phase angle of. Also find more details on Fees, Ranking, Admission, and Placement. Revise using these notes to reduce your time preparing this chapter. The efficiency is 100%. Students can have hands-on experience of the exam by practising the numericals. Candidates can check the NEET 2022 state rank list on the official website or on our site. Transformer is a device used for converting a low alternating voltage to a high alternating voltage and vice versa. Condition of resonance in a series LCR circuit with a graph. - All the formula of the chapter in one go! Students will find out how the circuits are changing and how the features are influencing the changes in specific formulae. What is the weightage of the Alternating Current in NEET? The capacitance reactance is infinite for dc $\left( {\upsilon = 0} \right)$ and has a finite value for ac. It is used in radio and TV receivers sets of tuning a particular radio station/TV channel. Therefore, is positive. There circuits with their respective phasor diagram are given below. NEET 2022; 1 (current) 8527521718; support@neetprep.com; S-15, 2nd floor Uphar Cinema Market, above Red Chilli Restaurant, Green Park Extension, New Delhi, 110016; NEET Information. Impedance of the circuit here is the resistance only. Current and voltage are in the same phase, i.e. There are 1622 Colleges that are accepting NEET. Important Concepts of Alternating Current. AC Circuit Containing Pure Resistance only: $I = \dfrac{V}{R} = \dfrac{{{V_0}}}{R}\sin \omega t = {I_0}\sin \omega t$. = 0.5(1.414) = 0.707 = $\dfrac{1}{\sqrt{2}}$A. Power losses in a transformer are: Copper loss, Iron loss, Loss due to flux leakage, Hysteresis etc, $\eta = \dfrac{\text{output power}}{\text{input power}} = \dfrac{{{V_s}{I_s}}}{{{V_p}{I_p}}}$. Question : 20. A direct current is an electric current where there is a change in its direction of flow. NEET 2022 Application Form is available on the official website for online registration. Make your study and revision sessions more fruitful and productive. Power factor is defined as the ratio of true power to apparent power of an AC circuit. Thus, it changes its direction after every. Here, $Z = \sqrt {{R^2} + X_c^2}$ is the impedance and the current leads voltage by an angle $\phi = {\tan ^{ - 1}}\left( {\dfrac{{{X_c}}}{R}} \right)$ . The organised presentation of these concepts will help you recall every term in the formulae and to solve crucial problems in the NEET exam. I.e. As famously said, practice is the key to success so more practice = 600+ marks in the exam. Amplitude of the current in the secondary winding: $ I_{\circ}$ = $I_{\circ}$ = $I_{s}\sqrt{2}$. $\omega = 2\pi T$ $= 2\pi \upsilon$ where T is the period of ac and is frequency. As the current in the circuit becomes maximum. The RMS value of alternating current is also known as the effective value or virtual value of ac. If transformer efficiency is 100%, then the current flowing in primary coil will be, A loss free transformer has 500 turns on its primary winding and 2500 in secondary. This action cannot be undone. Aspirants should know that revision is the key factor to any preparation for NEET. The average value for an AC cycle is zero because of equal positive and negative cycles. The inductive reactance is zero for dc $\left( {\upsilon = 0} \right)$ and has a finite value for ac. The ac circuit is a capacitance dominated circuit. a) 210 -2 sec and 14.24 amp b) 510 -3 sec and 8.07 amp A small signal voltage V (t) = ${V_0}\sin \omega t$ is applied across an ideal capacitor C. Then which of the following statements are true: Current I (t) is in phase with voltage V (t). This current is known as the watt less current or idle current. AC circuit with an inductor and a resistor: A circuit with an inductor and a resistor is called an LR circuit in series. , tan is negative. https://neet.nta.nic.in/. Solution: Quality factor of an L-C-R circuit is given by, ${Q_1} = \dfrac{1}{{20}}\sqrt {\dfrac{{1.5}}{{35 \times {{10}^{ - 6}}}}} = 50 \times \sqrt {\dfrac{3}{{70}}} = 10.35$, ${Q_2} = \dfrac{1}{{25}}\sqrt {\dfrac{{2.5}}{{45 \times {{10}^{ - 6}}}}} = 40 \times \sqrt {\dfrac{5}{{90}}} = 9.43$, ${Q_3} = \dfrac{1}{{15}}\sqrt {\dfrac{{3.5}}{{30 \times {{10}^{ - 6}}}}} = \dfrac{{100}}{{15}}\sqrt {\dfrac{{35}}{3}} = 22.77$, ${Q_4} = \dfrac{1}{{25}} \times \sqrt {\dfrac{{1.5}}{{45 \times {{10}^{ - 6}}}}} = \dfrac{{40}}{{\sqrt {30} }} = 7.30$.
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