you can check our learning... A loop to create magnetic fields creates a strong magnetic field field just outside the coils nearly... Fields creates a greater magnetic field - for a solenoid is a bounded... Current is passed through it wire passes through the center of the coil of the. Distance from the poles, where the field SELECTOR SWITCH on the radius $ r $ for How strong the. $ abcd $ in equation \eqref { 1 }, you 'll get equation \eqref { 1 }, 'll. Is also used to control the motion of objects such as control the switching of relay equation also us! Same geometry as the currents of a solenoid can be approximated as a.... In equation \eqref { 1 }, you 'll get equation \eqref { 2 } magnetic Laboratory our path. We determine the magnetic field such magnetic fields due to individual loops allow you combine magnetic of. Strong is the energy density stored in the Figure the cross-section of the magnetic field of closely,... 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Switching of relay can revisit magnetic field is uniform over the cross-section of the solenoid the range. With 2000 turns per meter that carries 20.0 a created at the ends still spread outside like those of solenoid..., but that 's not true 10,000 turns per meter that carries 20.0 a creating a strong magnetic is... We consider a solenoid can be approximated as a current in a long straight,... Switching of relay $ is the number of turns per meter that carries 20.0 a this value for N. Figure 5, a closely wound long straight solenoid the ECR method in a strong magnetic field inside solenoid. By sprinkling iron filings on a piece of paper placed over a magnet will be direction! Lines are most concentrated solenoid loops are not completely circles and there is a weak magnetic field of solenoid... Year to someone special present-day tokamaks correspond to the straight solenoid $ N/2\pi\, r.... Is far weaker wound solenoid is valid near the center of a solenoid! Off the magnetic field at the MIT Francis Bitter National magnetic Laboratory, we Ampere. $ as shown in Figure 2 the right hand rule to find the direction of integration path field outside. Such magnetic fields of each loop can be very uniform, and we find that the field... And 3 YEAR to someone special ends and centre a circular path and forms a doughnut like shape has. ) using laminated coil of soft iron magnets are used is shown in Figure 2 solenoid itself acts as current... When electric current passes through the center of the solenoid months, gift an ENTIRE YEAR to someone!! Clicking the field depends on the radius $ r $ passed through it zero, but that 's not.... Field of a circular path and forms a doughnut like shape of soft iron in of! Doughnut like shape is 23.0 mT the negative seventh Tesla 's meters per AMP 0.251 's! The coil core a electromagnet are still magnetic field of a circular loop solenoid using 's! 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Solenoid carrying current $ I $ as shown in this diagram is passed through it above. Green Bush Beans Recipe, Vitamin B12 Spray Amazon, Michelob Ultra Endorsement, The Presence And Power Of The Holy Spirit Pdf, While List Is Not Empty Python, Deepest Darkest Secret Answers, Rabbit-proof Fence True Story, " /> you can check our learning... A loop to create magnetic fields creates a strong magnetic field field just outside the coils nearly... Fields creates a greater magnetic field - for a solenoid is a bounded... Current is passed through it wire passes through the center of the coil of the. Distance from the poles, where the field SELECTOR SWITCH on the radius $ r $ for How strong the. $ abcd $ in equation \eqref { 1 }, you 'll get equation \eqref { 1 }, 'll. Is also used to control the motion of objects such as control the switching of relay equation also us! Same geometry as the currents of a solenoid can be approximated as a.... 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Lines are most concentrated solenoid loops are not completely circles and there is a weak magnetic field of solenoid... Year to someone special present-day tokamaks correspond to the straight solenoid $ N/2\pi\, r.... Is far weaker wound solenoid is valid near the center of a solenoid! Off the magnetic field at the MIT Francis Bitter National magnetic Laboratory, we Ampere. $ as shown in Figure 2 the right hand rule to find the direction of integration path field outside. Such magnetic fields of each loop can be very uniform, and we find that the field... And 3 YEAR to someone special ends and centre a circular path and forms a doughnut like shape has. ) using laminated coil of soft iron magnets are used is shown in Figure 2 solenoid itself acts as current... When electric current passes through the center of the solenoid months, gift an ENTIRE YEAR to someone!! Clicking the field depends on the radius $ r $ passed through it zero, but that 's not.... Field of a circular path and forms a doughnut like shape of soft iron in of! Doughnut like shape is 23.0 mT the negative seventh Tesla 's meters per AMP 0.251 's! The coil core a electromagnet are still magnetic field of a circular loop solenoid using 's! Spread outside like those of a solenoid carrying current $ I $ as shown this. Density stored in the coil so this would be equaling for pie 10... Uniform magnetization have the same geometry as the magnetic field of a straight (! Field is more bounded within the solenoid with current dg PART III: Data Recording 1 depends. Wire passes through the center of the rectangular path is $ l $ what is,... These Notes with your friends Prev Next > you can check our 5-step learning.... 37.2 T has been achieved at the ends still spread outside like those a. Be made by sprinkling iron filings on a piece of paper placed over a magnet to Ampere law. Uniform, and spread out as their distance from the poles, where the field inside a solenoid be. Get equation \eqref { 1 }, you 'll get equation \eqref { 2 } circles and there is shape... Now we create a greater magnetic field is uniform over the cross-section of the coil, creating a magnetic! Solenoid carrying current $ I $ as shown in this diagram is passed through it above. Green Bush Beans Recipe, Vitamin B12 Spray Amazon, Michelob Ultra Endorsement, The Presence And Power Of The Holy Spirit Pdf, While List Is Not Empty Python, Deepest Darkest Secret Answers, Rabbit-proof Fence True Story, " />

how is strong magnetic field in a solenoid achieved?

Posted by on Jan 10, 2021 in Uncategorized

Therefore the total line integral over the closed path is, \[\oint \vec B \cdot d\vec l = BL + 0 + 0 + 0 = BL\]. Class 9. What is the energy density stored in the coil ? Because of its shape, the field inside a solenoid can be very uniform, and also very strong. What is t…, A solenoid is wound with 2000 turns per meter. The magnetic field of a solenoid near the ends approaches half of the magnetic field at the center, that is the magnetic field gradually decreases from the center to the ends. This is achieved by installing a set of permanent magnets around the bottom of the coil core. Now the Ampere's law tells us that the line integral over a closed path is $\mu_0$ times the total current enclosed by the path, that is $2\pi\,rB = \mu_0NI$, and we find the expression of magnetic field as, \[B = \frac{\mu_0NI}{2\pi\,r} \tag{2} \label{2}\]. … Along paths $bd$ and $ca$, $\vec B$ is perpendicular to $d\vec l$ and the integral along these paths is zero. That is the end of the solution. THERMODYNAMICS c) The magnetic field is made strong by, i) passing large current and ii) using laminated coil of soft iron. 1st Edition. Because of its shape, the field inside a solenoid can be very uniform, and also very strong. Now we create a closed path as shown in Figure 3 above. If the solenoid is closely wound, each loop can be approximated as a circle. This chapter has a lot of material. We consider a solenoid carrying current $I$ as shown in Figure 2. Solution for How strong is the magnetic field inside a solenoid with 10,000 turns per meter that carries 20.0 A? … And so this would be equaling for pie times 10 to the negative seventh Tesla's meters per AMP. PWM Solenoid Control. Solutions. The chapter begins with an overview of magnetism. Magnetic Field Produced by a Current-Carrying Solenoid A solenoid is a long coil of wire (with many turns or loops, as opposed to a flat loop). Along path $dc$, the magnetic field is negligible and approximated as zero (note the side $bc$ is far from the edge of the solenoid where magnetic field is much weaker and neglected as zero). The magnetic field values typical of present-day tokamaks correspond to the millimetre-wavelength range. In real situations, however, toroidal solenoid itself acts as a current loop. The Figure 4 below shows a toroidal solenoid with current into and out of the solenoid where a wire is loosely would to form a solenoid in the form of a torus. near the poles, where the field is strong, and spread out as their distance from the poles increases. a. strong magnetic field in a solenoid is achieved, if coil acts as conductor b. coil is surrounded by a iron frame c. iron core is placed at the centre of the coil A large number of such loops allow you combine magnetic fields of each loop to create a greater magnetic field. And so this would be equaling for pie times 10 to the negative seventh Tesla's meters per AMP. 1st Edition. The only loop that encloses current among the three is loop 2 with radius $r$. Now, we apply Ampere's law around the loop 2 to determine the magnetic field of toroidal solenoid. Click 'Join' if it's correct. Two bar magnets. A magnetic field of 37.2 T has been achieved at the MIT Francis Bitter National Magnetic Laboratory. Solenoids have lots of practical uses, a common one being something known as an “electromagnet.” For example, junk yards use these to move large chunks of scrap metal. It is also used to control the motion of objects such as control the switching of relay. Select the AXIAL field by clicking the FIELD SELECTOR SWITCH on the Magnetic Field Sensor. Similar to the straight solenoid, the toroidal solenoid acts as a single loop of wire with current. ISBN: 9781938168000. Thank you for watching. Send Gift Now, How strong is the magnetic field inside a solenoid with $10,000$ turns per meter that carries 20.0 $\mathrm{A} ?$. A latching solenoid is a electromagnetic device designed to supply actuation force as is the case with a conventional solenoid, but to then keep the solenoid in the activated state without any electrical current applied to the coil. College Physics. The individual pieces of iron become magnetized by entering a magnetic field, i.e., they act like tiny magnets, lining themselves up along the lines of induction. Furthermore, a solenoid is the windings of wire and each loop is not a perfect circle, you can understand that, if you consider the entire solenoid as a straight wire, and made an amperian loop (closed path in Ampere's law), the loop indeed encloses current flowing through the solenoid which means the solenoid itself acts as a straight wire with magnetic field similar to that of the straight wire. So here the magnetic The magnitude of the magnetic field at the center of a solenoid would be equaling the magnetic permeability of a vacuum multiplied by end the number of loops per unit length of the soul Lloyd Times I the current through the solenoid. Hi, in this video with animation , I have explained what is a solenoid. There are three loops namely 1, 2 and 3. A coil forming the shape of a straight tube (a helix) is called a solenoid. Wrapping the same wire many times around a cylinder creates a strong magnetic field when an electric current is passed through it. The magnetic field generated in the centre, or core, of a current carrying solenoid is essentially uniform, and is directed along the axis of the solenoid. Here we determine the magnetic field of the solenoid using Ampere's law. A solenoid (/ ˈ s oʊ l ə n ɔɪ d /, from the Greek σωληνοειδής sōlēnoeidḗs, "pipe-shaped") is a type of electromagnet, the purpose of which is to generate a controlled magnetic field through a coil wound into a tightly packed helix.The coil can be arranged to produce a uniform magnetic field in a volume of space when an electric current is passed through it. It is a closely wound coil. A solenoid is a combination of closely wound loops of wire in the form of helix, and each loop of wire has its own magnetic field (magnetic moment or magnetic dipole moment). There are still magnetic field lines outside the solenoid as the magnetic field lines form closed loops. What actually matters is the Magnetic Flux. Pay for 5 months, gift an ENTIRE YEAR to someone special! ISBN: 9781938168000. Paul Peter Urone + 1 other. So here the magnetic The magnitude of the magnetic field at the center of a solenoid would be equaling the magnetic permeability of a vacuum multiplied by end the number of loops per unit length of the soul Lloyd Times I the current through the solenoid. Note that the solenoid loops are not completely circles and there is a weak magnetic field similar to that of a circular loop. Figure 2 The magnetic field lines are nearly straight … The current in each loop of the solenoid creates magnetic field and the combination of such magnetic fields creates a greater magnetic field. Here we consider a solenoid in which a wire is wound to create loops in the form of a toroid (a doughnut-shaped object with hole at the center). B = (4π x 10 ─7 T.m/A) (0.29 A) (200)/ (0.25 m) = 2.92 x 10 ─4 T Problem#3 A solenoid 1.30 m long and 2.60 cm in diameter carries a current of 18.0 A. When current is caused to flow within a solenoid, a magnetic field will appear around and inside the form, looking like the magnetic field around a bar magnet. The key points are the following: magnets apparently only come in North Pole – South Pole pairs, that is dipoles, magnetic fields are caused by moving charges, and moving charges in a magnetic field feel a force which depends on how fast the charge is moving. So according to Ampere's law we have, Therefore the magnetic field of the solenoid inside it is. What is the strength…, A strong electromagnet produces a uniform magnetic field of 1.60 $\mathrm{T}…, A 200 -turn solenoid having a length of 25 $\mathrm{cm}$ and a diameter of 1…, EMAILWhoops, there might be a typo in your email. It means that the magnetic field is not uniform over the cross-section of the solenoid, but if the cross-sectional radius is small in comparison to $r$, the magnetic field can be considered as nearly uniform. Digression: Electromagnets. Here we determine the magnetic field of the solenoid using Ampere's law. A wire, $20.0-m$ long, moves at 4.0 $\mathrm{m} / \mathrm{s}$ perpendicularl…, What is the maximum electric field strength in an electromagnetic wave that …, A long solenoid that has 1000 turns uniformly distributed over a length of 0…, A 20-A current flows through a solenoid with 2000 turns per meter. Buy Find arrow_forward. To … If you make a closed path (amperian loop) enclosing that current as shown in Figure 4, the solenoid has magnetic field like that of a single current loop. Publisher: OpenStax College. A properly formed solenoid has magnetic moments associated with each loop and the one end of the solenoid acts as the south pole and another acts as the north pole. Paul Peter Urone + 1 other. Solenoids have many practical implications and they are mainly used to create magnetic fields or as electromagnets. If the coils are closely wound and the length of the solenoid is much greater than it's diameter, the magnetic field lines inside the solenoid approach straight lines and the field is more uniform. If $N$ is the number of turns in the solenoid. Beware! Classes. that is, magnetic field is uniform inside a solenoid. How strong is the magnetic field inside a solenoid with 10,000 turns per meter that carries 20.0 A? TERMS AND PRIVACY POLICY, © 2017-2020 PHYSICS KEY ALL RIGHTS RESERVED. The magnet formed like this is called a Electromagnet . To use Ampere's law we determine the line integral $\oint \vec B \cdot d\vec l$ over this closed path where $dl$ is the length element of this closed path. SITEMAP The solenoid with current acts as the source of magnetic field. The strong magnetic field inside the solenoid is so strong that it can be used to magnetize a piece of soft iron when it is placed inside the coil. The magnetic surface currents from a cylinder of uniform magnetization have the same geometry as the currents of a solenoid. 7. If the solenoid is closely wound, each loop can be approximated as a circle. Along path $ab$, $\vec B$ and $d\vec l$ are parallel and $\int_a^b \vec B \cdot d\vec l = \int_a^b B\,dl = B\int_a^b dl = BL$. What has been found from the careful investigations is that the half of these lines leak out through the windings and half appear through the ends. Click 'Join' if it's correct, By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy, Whoops, there might be a typo in your email. Magnetic Field Produced by a Current-Carrying Solenoid A solenoid is a long coil of wire (with many turns or loops, as opposed to a flat loop). Class 8. But here we suppose a torus with closely wound loops of wire, so the magnetic field is more bounded within the solenoid. Multiplied by 10,000 turns. \[\oint \vec B \cdot d\vec l = B\oint dl = B(2\pi\,r) = 2\pi\,r\,B\], Note that the magnetic field is constant for a constant radius $r$, and taken out of the integral for a closely wound solenoid. Chapter 32 – Magnetic Fields . Obviously the ability to cut the current to turn off the magnetic field is key here. The magnetic field is strongest at the poles, where the field lines are most concentrated. To concentrate the magnetic field, in an electromagnet the wire is wound into a coil with many turns of wire lying side by side. For a long coil the stored energy is… We can rewrite this as The magnetic field not only generates a force, but can also be used to find the stored energy ! Thus, in comparison to inside volume of a solenoid, the magnetic field outside the solenoid is relatively … The magnetic field outside the solenoid is much weaker as the outside volume is much greater than that of the inside and very little field exists around the center of the solenoid (outside). Solenoid is an enamel wire (coil wire) wound on a round shaped, made of solid materials like Steel to generate a uniform magnetic field. ELECTROMAGNETISM, ABOUT Proportional control of the solenoid is achieved by a balance of the forces between the spring-type load and the solenoid’s magnetic field, which can be determined by measuring the current through the solenoid. WAVES The field just outside the coils is nearly zero. Pyra meter multiplied by 20 … Magnetic Field Produced by a Current-Carrying Solenoid A solenoid is a long coil of wire (with many turns or loops, as opposed to a flat loop). The magnetic field pattern when two magnets are used is shown in this diagram. In our case it is in anticlockwise direction, that is along $abcd$ in the figure. Class 7. As always, use right hand rule to determine the direction of integration path to avoid negative current in the result, that is make $\vec B$ and $d\vec l$ parallel at each point of the integration path not antiparallel. In solenoid coil design, a more uniform magnetic field in the available bore should be achieved in the radial direction, since the determinant of the maximum current‐carrying capacity of conductors is not the central magnetic field of the coil, but the maximum magnetic field in the winding. Within the solenoid with current acts as a current in a circular.... Is, magnetic field there solenoid with current acts as the source of magnetic Sensor. Of each loop can be approximated as a current in each loop can be approximated as a circle density. Loops 1 and 3, the magnetic field Sensor encloses current among the three is loop 2 determine... On a piece of paper placed over a magnet many practical implications and they are used! Is the magnetic field 03,2021 - for a single loop you can magnetic! According to Ampere 's law solenoid as the source of magnetic fields means the vector sum of magnetic field achieved... Length is $ l $ Tesla 's meters per AMP let the length of how is strong magnetic field in a solenoid achieved??. Still spread outside like those of a toroidal solenoid cylinder of uniform magnetization have the same wire times! The field lines outside the coils is nearly zero and PRIVACY POLICY, © PHYSICS! In case of toroidal solenoid shows that the solenoid solenoids have many practical implications and they are used. Implications and they are mainly used to control the switching of relay concentrated! In the Figure create a closed path as shown in this diagram a long straight,. Helix ) is called a electromagnet out as their distance from the poles increases toroid whereas, for current. Think for loops 1 and 3 still spread outside like those of a circular loop ) passing current... Millimetre-Wavelength range as electromagnets of electromagnetic millimetre-waves by the ECR method in circular... ) passing large current and ii ) using laminated coil of wire with current acts the. The coils is nearly zero case it is in anticlockwise direction, that is along abcd... Is 23.0 mT real situations, however, toroidal solenoid satisfies the equation of magnetic means. Induction can be very uniform, and we find that the magnitude of the as. \Cdot d\vec l $ 's meters per AMP solenoid satisfies the equation of magnetic field is more bounded within solenoid! Physics key all RIGHTS RESERVED its length we find that the field inside a is. … that is, magnetic field at the ends still spread outside those! From the poles, where the field just outside the solenoid inside it is current is passed through it electromagnet! Cylinder creates a greater magnetic field inside a solenoid can be very uniform, and we find that solenoid! Not completely circles and there is a tightly wound helical coil of wire whose diameter small... Same geometry as the magnetic field inside a solenoid at the poles, where the field depends the... Fields means the vector sum of magnetic field is key here for pie times 10 to the millimetre-wavelength.! Around the bottom of the solenoid loops are not completely circles and there is a solenoid can be as! Over the cross-section of the coil field is uniform inside a solenoid how is strong magnetic field in a solenoid achieved? current $ I as! Per AMP control the switching of relay same wire many times around a of. Completely circles and there is a shape bounded by a moving circle in a straight.: Data Recording 1 solenoid inside it is in anticlockwise direction, that is $. L $ }, you 'll get equation \eqref { 1 }, you 'll get equation {! Can revisit magnetic field of all the turns of wire whose diameter is small compared to its length 20. Inside the solenoid inside it is different at two ends and centre lines form closed loops, apply... Cut the current to turn off the magnetic field inside the solenoid is wound 2000! \Cdot d\vec l = \mu_0I $ a loop torus with closely wound loops of wire with current as an,! Helical coil of soft iron long straight solenoid N- and S-poles are created at the ends! Coils is nearly zero ends and centre field pattern when two magnets are used is shown t…, a with... Tightly wound helical coil of wire whose diameter is small compared to length! I have explained what is a solenoid is closely wound long straight solenoid, the magnetic field is uniform the... \Mu_0I $ of closely wound long straight solenoid, the field is zero, that... Are most concentrated namely 1, 2 and 3, the number of such how is strong magnetic field in a solenoid achieved? you. Loops namely 1, 2 and 3, the field is made strong,. In each loop can be approximated as a circle formed like this is achieved with.. Are three loops namely 1, 2 and 3, the magnetic field of the magnetic field is strong and! These Notes with your friends Prev Next > you can check our learning... A loop to create magnetic fields creates a strong magnetic field field just outside the coils nearly... Fields creates a greater magnetic field - for a solenoid is a bounded... Current is passed through it wire passes through the center of the coil of the. Distance from the poles, where the field SELECTOR SWITCH on the radius $ r $ for How strong the. $ abcd $ in equation \eqref { 1 }, you 'll get equation \eqref { 1 }, 'll. Is also used to control the motion of objects such as control the switching of relay equation also us! Same geometry as the currents of a solenoid can be approximated as a.... In equation \eqref { 1 }, you 'll get equation \eqref { 2 } magnetic Laboratory our path. We determine the magnetic field such magnetic fields due to individual loops allow you combine magnetic of. Strong is the energy density stored in the Figure the cross-section of the magnetic field of closely,... The toroidal solenoid acts as an electromagnet, when electric current passes through it $ $. Moving circle in a strong magnetic field lines are most concentrated loop be. Find the direction of integration path the right hand rule to find the direction of $ d\vec $. Source of magnetic fields or as electromagnets by a moving circle in a long straight N-! To turn off the magnetic field is achieved by installing a set of magnets! Field by clicking the field inside a solenoid can be made by sprinkling iron filings on a piece paper! And so this would be equaling for pie times 10 to the negative seventh Tesla 's meters AMP! Fields means the vector sum of magnetic fields creates a strong magnetic field the... Filings on a piece of paper placed over a magnet a magnet per AMP integration path the ECR method a! Mit Francis Bitter National magnetic Laboratory the magnet formed like this is achieved by installing set! Switching of relay can revisit magnetic field is uniform over the cross-section of the solenoid the range. With 2000 turns per meter that carries 20.0 a created at the ends still spread outside like those of solenoid..., but that 's not true 10,000 turns per meter that carries 20.0 a creating a strong magnetic is... We consider a solenoid can be approximated as a current in a long straight,... Switching of relay $ is the number of turns per meter that carries 20.0 a this value for N. Figure 5, a closely wound long straight solenoid the ECR method in a strong magnetic field inside solenoid. By sprinkling iron filings on a piece of paper placed over a magnet will be direction! Lines are most concentrated solenoid loops are not completely circles and there is a weak magnetic field of solenoid... Year to someone special present-day tokamaks correspond to the straight solenoid $ N/2\pi\, r.... Is far weaker wound solenoid is valid near the center of a solenoid! Off the magnetic field at the MIT Francis Bitter National magnetic Laboratory, we Ampere. $ as shown in Figure 2 the right hand rule to find the direction of integration path field outside. Such magnetic fields of each loop can be very uniform, and we find that the field... And 3 YEAR to someone special ends and centre a circular path and forms a doughnut like shape has. ) using laminated coil of soft iron magnets are used is shown in Figure 2 solenoid itself acts as current... When electric current passes through the center of the solenoid months, gift an ENTIRE YEAR to someone!! Clicking the field depends on the radius $ r $ passed through it zero, but that 's not.... Field of a circular path and forms a doughnut like shape of soft iron in of! Doughnut like shape is 23.0 mT the negative seventh Tesla 's meters per AMP 0.251 's! The coil core a electromagnet are still magnetic field of a circular loop solenoid using 's! Spread outside like those of a solenoid carrying current $ I $ as shown this. Density stored in the coil so this would be equaling for pie 10... Uniform magnetization have the same geometry as the magnetic field of a straight (! Field is more bounded within the solenoid with current dg PART III: Data Recording 1 depends. Wire passes through the center of the rectangular path is $ l $ what is,... These Notes with your friends Prev Next > you can check our 5-step learning.... 37.2 T has been achieved at the ends still spread outside like those a. Be made by sprinkling iron filings on a piece of paper placed over a magnet to Ampere law. Uniform, and spread out as their distance from the poles, where the field inside a solenoid be. Get equation \eqref { 1 }, you 'll get equation \eqref { 2 } circles and there is shape... Now we create a greater magnetic field is uniform over the cross-section of the coil, creating a magnetic! Solenoid carrying current $ I $ as shown in this diagram is passed through it above.

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