magnetic field from a wire

159 0. The direction of the magnetic field can be determined as follows. This movement of electrons from one location to another power our lights, computers, appliances, and many other things. Now the charges which are moving inside the wire will produce the magnetic field to exist in it. The magnetic field lines of the infinite wire are circular and centered at the wire (Figure 12.6), and they are identical in every plane perpendicular to the wire. We noted in Chapter 28 that a current loop created a magnetic field similar to that of a bar magnet, but what about a straight wire? Current flows from the negative end of a battery, through the wire, to the positive end of . When current is passed in a wire there will magnetic field produced by the moving charges due to the electric current, these charges are known to be electrons. magnetic feild a force field surrounding a magnet or current- carrying wire which acts on any other magnet or current carrying wire placed in the field motor effect a current carrying wire placed at a non-zero angle to the lines of force of an external magnetic field will experience a force due to the field magnitude of force depends on Begin is the angle between the vectors dl and r. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Calculate the amount of magnetic field produced in the wire have distance 2m. Depending on the shape of the conductor, the contour of the magnetic field will vary. Here the current and the magnetic field overlap. since it can't be standing still to generate a magnetic With the thumb of a clenched right hand . Each wire will experience an attractive or repulsive force, depending on the direction of . Legal. In this rule, the thumb of the right-hand points in the direction of the current. Surveyors will tell you that overhead electric power lines create magnetic fields that interfere with their compass readings. Consider a straight long wire which is capable of conducting current in them. The interaction of magnetic fields in electric devices such as transformers is conceptualized and investigated as magnetic circuits. And for the purposes of your high school physics class, we assume that it's going through air normally. Magnetic lines of force is present in the wire along with the electric force. If you hold the wire with your right hand so that your thumb points along the current, then your fingers wrap around the wire in the same sense as \(\vec{B}\). Click theReversebutton to change the direction of the current flow and observe the effect this change exerts on the wires magnetic field. Electric fields are produced by electric charges, and magnetic fields are produced by the flow of electrical current through wires or electrical devices. Magnet Academy is brought to you by the National High Magnetic Field Laboratory the largest, most high-powered magnet lab in the world. The principle of superposition is applicable to both of these laws. A magnetic field is closer to a wire, and its strength rises as the current increases. Magnetic field of a wire Magnetic field of a long wire Magnetic fields arise from charges, similarly to electric fields, but are different in that the charges must be moving. Two contacts for the banana cables are attached at either end. Calculate the magnitude of the magnetic field at the other corner of the square, point P, if the length of each side of the square is 1 cm. Center for Integrating Research + Learning. example of a moving charge that generates a magnetic The direction of this magnetic field is given by the right-hand thumb rule. Here, = permeability of free space, I= current passing through the wire, d= distance from the wire, B = is the magnetic field produced by the wire. that the units of charge and current (coulombs and amps) According to this rule, if the thumb of the right hand is pointed in the direction of the conventional current, the direction that the rest of the fingers need to curl in order to make a fist (or to wrap around the wire in question) is the direction of the magnetic field. were chosen to give a simple form for this constant. Despite this, small currents are not permitted. Plus and minus signs indicate the poles of the battery (not shown) to which the wire is connected. The vectors for each of these magnetic field contributions are shown. Then, the magnetic field dB at a point P due to this current carrying element at distance r will be given by. Next when the current is passed through the wire the charges present in them will produce electric field which in turn will produce the magnetic field. Electric current produces a magnetic field. The constant m0 is the magnetic permiability. Fig. This work is licensed by OpenStax University Physics under aCreative Commons Attribution License (by 4.0). A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. around the wire. There is no real analogy to coulombs law for magnetism, link to Radon Electron Configuration: 7 Facts You Should Know. There will be length for a wire and the height of it too. Now from Equation 12.5.2, the magnetic field at P is. We must add the "s'' with Radon Electron Configuration: 7 Facts You Should Know! For a current I = Amperes and. Of course, a finite segment of wire cannot carry a steady current. This force is given by the formula F=BI sin, where F is a force on the wire, is the length of the wire, I is the current, and is the angle between the current direction and the magnetic field. When the internal magnetic field is in right angles to the current density and the surface which is normal then the magnetic field in a wire is said to be zero. and e0 are related to the The wire is responsible for the production of magnetic field since it s a conductor. The wire is symmetrical about point \(O\), so we can set the limits of the integration from zero to infinity and double the answer, rather than integrate from negative infinity to positive infinity. The magnetic fields follow the principle of super-position. (a) The magnetic field is stronger at 1mm by a factor of 5. The magnetic field due to each wire at the desired point is calculated. There are also other factors which are responsible for the magnetic field in a wire to be zero. The earth's magnetic field is about 0.5 gauss. Samuel J. Ling (Truman State University),Jeff Sanny (Loyola Marymount University), and Bill Moebswith many contributing authors. Where 0 is called the permeability of a free space or a vacuum. However, when a large current is sent through the wire, the compass needles all point tangent to the circle. Effect of Magnetic Field on a Current-Carrying Wire Electric energy is transmitted by the current, which is basically the flow of the electrons, which are the sub-particles of the atom and are negatively charged. The magnetic field of an infinitely long straight wire can be obtained by applying Ampere's law. to moving charges will also depend on the right hand Right hand thumb rule is a rule which explains the direction of the current which will influence the direction of the magnetic field. The magnetic field lines of the infinite wire are circular and centered at the wire (Figure 12.3.2 ), and they are identical in every plane perpendicular to the wire. The magnetic field lines of the infinite wire are circular and centered at the wire ( Figure 12.6 ), and they are identical in every plane perpendicular to the wire. Some of our partners may process your data as a part of their legitimate business interest without asking for consent. From the figure above, the magnetic field is denoted by the pink circles, highlighting that the generated field is tangent to the current-carrying wire and concentric circles with their center as the wire. remembers the case of the electric field of a uniformly Magnetic field strength is commonly measured in units of Tesla, which is abbreviated T. . Using Example \(\PageIndex{1}\), keeping the currents the same in wires 1 and 3, what should the current be in wire 2 to counteract the magnetic fields from wires 1 and 3 so that there is no net magnetic field at point \(P\)? Considering the wire to be a conductor some amount of current is been passed to the wire, the wire now conducts electricity. Briefly describe the right-hand rule and determine if the observed field goes around the wire in the direction predicted by this rule. With, \[|d\vec{x} \times \hat{r}| = (dx)(1) \, \sin \, \theta \], \[B = \dfrac{\mu_0}{4\pi} \int_{wire} \dfrac{I \, \sin \, \theta \, dx}{r^2}. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. The magnetic field lines of the infinite wire are circular and centered at the wire (Figure \(\PageIndex{2}\)), and they are identical in every plane perpendicular to the wire. Also, this magnetic field forms concentric circles around the wire. Circular wire produces magnetic field inside the circle and outside the circle. (As convention dictates, the current flow opposes the actual direction of theelectrons, illustrated in yellow). The only difference comes in the fact that the electrostatic force is a scalar quantity while the magnetic field is a vector quantity that depends on the cross product. Radon(Rn) is a nobel gas element present in group eighteen of the table, having We are group of industry professionals from various educational domain expertise ie Science, Engineering, English literature building one stop knowledge based educational solution. direction of the current, the direction of the magnetic Magnetic Field Inside Wire Quick Q - Please Help (I've asked 3 times and no answers) Thread starter Fusilli_Jerry89; Start date Apr 7, 2008; Apr 7, 2008 #1 Fusilli_Jerry89. Since the magnetic field is produced due to the movement of charges in a wire the magnetic field eventually becomes zero in the complete absence of current. Let us denote the current that the conductor is carrying by I. Electric current is generated as electrons flow through it. When current is passed through a straight current-carrying conductor, a magnetic field is produced around it. The figure shown below shows a current-carrying conductor in space. There are different types and shapes of current-carrying conductors. Note 15.4.1. A uniform magnetic field of 2 T is directed vertically downwards. Magnetic field around a circular wire is calculated by the formula; B=2k.i/r Direction of the magnetic field at the center of the circle is found with right hand rule. Themagnetic field linesgenerated around the wire due to the presence of the current are depicted in blue. The magnetic field is the area surrounding a magnet in which the magnetic force exists. Magnetic fields are used throughout modern technology, particularly in electrical engineering and electromechanics. Also now we need to calculate the magnetic field in a wire using a formula given for it. The wire will experience a strong force including the electric and the magnetic fields. rule. Now let us see what actually the magnetic field in a wire means. Magnetic Field When an electric current passes through a wire, it creates a magnetic field around it. All the magnetic fields that are known are due to current charges (or moving charges). To further understand the nature and behavior of the magnetic field produced by these conductors, it is essential to formulate the theory behind these concepts. Also we need to know that the direction of the magnetic field directly depend on the current which is inducted in the wire. The direction of the magnetic field around the wire is also indicated by the small arrows featured on the individualfield lines. The strength, magnitude and the direction of the magnetic field will decide the amount of flux being passed through the wire. There is also a hole of radius a in the wire a distance b from the centre of the wire. When you are ready to start the problem, click on the begin button. So magnetic field is produced in this way and the current in a long wire is an example of how it is been created. We can use the Biot-Savart law to answer all of these questions, including determining the magnetic field of a long straight wire. You can drag the compass. In order to magnetic field to exist in a wire, the wire must be conductor electricity or otherwise there is no point in the magnetic field in a wire. 2. (Multiple-Choice) A current-carrying wire produces a constant magnetic field. Electric Field due to Infinitely Long Straight Wire, Magnetic Field due to Current carrying Conductor, Magnetic Force on a Current carrying Wire, Magnetic Field Due to Solenoid and Toroid, Difference between Electric Field and Magnetic Field, Magnetic Field on the Axis of a Circular Current Loop, Motion of a Charged Particle in a Magnetic Field, Earth's Magnetic Field - Definition, Causes, Components. One way to explore the direction of a magnetic field is with a compass, as shown by a long straight current-carrying wire in. This means that we can calculate the net field there by evaluating the scalar sum of the contributions of the elements. Show. Next, the direction of each magnetic fields contribution is determined by drawing a circle centered at the point of the wire and out toward the desired point. The strength Magnetic Field due to a straight current-carrying wire. Whenever current travels through a conductor, a magnetic field is generated. To find the magnetic field around a wire, we typically use the right-hand thumb rule or cross-product. The field that is produced by these charges can be visualized in the figure below. 1 - The magnetic field generated by a straight current-carrying wire. The electrons are the reason why there is power given to all electrical materials. You will be able to change the strength and direction of the current (moving electrons) and you will be able to measure the the location of the magnetic field probe relative to the center of the wire. Yes, there exists magnetic field in a wire. The curled fingers give the direction of the magnetic field around the wire. field. Magnetic field for coils is simple the current flow in circular loops. Now when the current is passed the charges produce the magnetic field in that particular wire and so like this we know that magnetic field is produced. At point \(P\), therefore, the magnetic fields due to all current elements have the same direction. By pointing one's right thumb along the If the conductor is a wire, however, the magnetic field always takes the form of concentric circles arranged at right angles to the wire. Question 4: A straight current-carrying conductor is carrying a current of 10A and another conductor parallel to it carries a current of 5A on the opposite side as shown in the figure below. If the right-hand . Wire 2 has a longer distance and a magnetic field contribution at point P of: \[B_2 = \dfrac{\mu_0 I}{2\pi R} = \dfrac{(4\pi \times 10^{-7}T \cdot m/A)(2 \, A)}{2 \pi (0.01414 \, m)} = 3 \times 10^{-5}T.\]. Copyright 2012-2022 Privacy PolicySite FeedbackSite MapContact. Let's connect through LinkedIn-https://www.linkedin.com/in/keerthana-s-91560920a/, 3 Facts On Use Of Lie In Tense(Present, Past And Future). Lets begin by considering the magnetic field due to the current element \(I \, d\vec{x}\) located at the position x. Now we need to find magnetic field in a wire. This magnetic field can be visualized as a pattern of circular field lines surrounding a wire. Magnet Academy is a free resource on magnetism & electricity brought to you by the Center for Integrating Research + Learning at the National High Magnetic Field Laboratory. The direction of the field lines can be observed experimentally by placing several small compass needles on a circle near the wire, as illustrated in Figure \(\PageIndex{3a}\). radial distance r = m, the magnetic field is. The magnetic field is strongest in the area closest to the wire, and its direction depends upon the direction of the current that produces the field, as illustrated in this interactive animation. 9. Magnetic Field - (Measured in Tesla) - Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits. Explain how the Biot-Savart law is used to determine the magnetic field due to a thin, straight wire. So the magnetic field is actually going to have a different strength depending on whether this wire is going through rubber, whether it's going through a vacuum, or air, or metal, or water. On the whole magnetic field in the wire is simply the magnetic forces present in the wire when electric current is been passed to the wire. Since the field decreases with distance from the wire, the spacing of the field lines must increase correspondingly with distance. We and our partners use cookies to Store and/or access information on a device.We and our partners use data for Personalised ads and content, ad and content measurement, audience insights and product development.An example of data being processed may be a unique identifier stored in a cookie. If one Question 5: A straight current-carrying conductor is carrying a current of 10A and another conductor parallel to it carries a current of 10A in the same direction as shown in the figure below. A To find first contribution (by the curved wire) of the magnetic field can be found using Biot Savart law as follows: B 1 = 0 i 1 /4R 1 (out the page) while the second contribution (by the straight wire) of the magnetic field can be found using Ampere's law as: B 2 = 0 i 2 /2R 2 (into the page) Therefore: If you would like to change your settings or withdraw consent at any time, the link to do so is in our privacy policy accessible from our home page. A long straight wire carrying a current is the simplest example of a moving charge that generates a magnetic field. It is perpendicular to the electric current in strong currents for the magnetic field to be perpendicular to it. Whenever current travels through a conductor, a magnetic field is generated, a fact famously stumbled upon byHans Christian rsted around 1820. When the current induced in a wire is zero the magnetic field will also be zero. In the presence of an external magnetic field, a current-carrying wire feels a force. The charges in the straight wire will move from one end to the other in order producing electric current, also these charges are the sole reason for the presence of magnetic field in a wire. The strength and magnitude of the magnetic field will decide how much of the flux is been passed through a given unit area per unit time. Copyright 2022, LambdaGeeks.com | All rights Reserved, link to 3 Facts On Use Of Lie In Tense(Present, Past And Future). The magnitude of this field is given by. the field reverses when the current is reversed. Magnetic Field About Wire. When there is no current in the wire, the needles align with Earths magnetic field. A straight conducting wire of length 20 cm is aligned along a north-south line and is moving towards east with a speed of 2 m/s. Every day, electrons flow from one place to another, producing the energy that powers our lights, phones, appliances, and many other things. It us the quantity which is produced when the current is induced in the wire and they also can be zero when the current in the wire is absent. As current moves through a power line, it creates a magnetic field called an . The magnetic field of a straight current-carrying wire can be calculated using the following formula B = o x I/ (2d) Where, o = permeability of free space. (12.5.3) B = j ^ 0 I R 4 ( y 2 + R 2) 3 / 2 l o o p d l = 0 I R 2 2 ( y 2 + R 2) 3 / 2 j ^. field source's index. To view the purposes they believe they have legitimate interest for, or to object to this data processing use the vendor list link below. Find the magnitude of the magnetic field produced by the system at a distance of 2m. The magnetic fields follow the principle of super-position. Moving charges produce a magnetic field. This page titled 12.3: Magnetic Field due to a Thin Straight Wire is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. Magnetic field in a wire is basically the movement of charges in a given unit area per unit time. o = 4 x 10^-7 Tm/A B = magnetic field strength produced at a distance If the south end of the wire has a potential of -2 V, the potential at north end of the wire is The Lorentz force says that a moving charge in an externally applied magnetic field will experience a force, because current consists of many charged particles (electrons) moving through a wire, and the opposing wire produces an external magnetic field. This is a cross product. Since the field decreases with distance from the wire, the spacing of the field lines must increase correspondingly with distance. External magnetic field is applied to an ideal conductor, meaning, when the internal magnetic field being always a constant, the magnetic field is generally zero. Apart from academics I love to spend my time in music and reading books. There is something we need to know before we get into what happens to a wire in a magnetic field. By the end of this section, you will be able to: How much current is needed to produce a significant magnetic field, perhaps as strong as Earths field? For the case of a long straight wire carrying a The total magnetic field, B = B 1 + B 2 The magnitude of the magnetic field produced by a current carrying straight wire is given by, r = 2 m, I = 10A. Now, since we now that there is a wire conducting wire, there will be length included and since the wire is cylindrical we consider the formula for it too. Therefore, the net magnetic field is the resultant of these two components: \[ \begin{align} B_{net} &= \sqrt{B_{net \, x}^2 + B_{net\, y}} \\[4pt] &= \sqrt{(-6 \times 10^{-5}T)^2 + (-6 \times 10^{-5}T)^2} \\[4pt] &= 8.48 \times 10^{-5} T. \end{align}\]. Question 2: A straight current-carrying conductor is carrying a current of 5A. but are different in that the charges must be moving. Plugging in the values into the equation, For the second wire, r = 4 m, I = 5A Plugging in the values into the equation, B = B 1 + B 2 Lets see them in detail. Also, indicate the direction of the electric current in your sketch. This is electromagnetism. Lastly, working with these vectors, the resultant is calculated. The direction of the magnetic field contribution from that wire is tangential to the curve. field can by found by curving one's fingers around the But, because of the superposition principle for magnetic fields, if we want to . Your thumb shows the direction of magnetic field and four fingers show direction of current. The moving charges in a wire conduct electricity and also it will create a magnetic and electric field simultaneously. The magnitude and the direction of the magnetic field due to the straight current-carrying wire can be calculated using the Biot-Savart law mentioned above. The produced magnetic field will now have so many of them called the magnetic flux and will pass through the area. When the current is passed there will be charges present in them so these charges are responsible for the production of the magnetic fields. So when this magnetic field grows stronger the coil will have a stronger magnetic field and is called as a solenoid. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. right-hand rule. Furthermore, the direction of the magnetic field depends upon the direction of the current. Presented in the tutorial is a straight wire with a current flowing through it. Based on the picture and trigonometry, we can write expressions for \(r\) and \(\sin \, \theta\) in terms of x and R, namely: \[\sin \, \theta = \dfrac{R}{\sqrt{x^2 + R^2}}.\], Substituting these expressions into Equation \ref{BSLaw}, the magnetic field integration becomes, \[B = \dfrac{\mu_0I}{2\pi} \int_0^{\infty} \dfrac{R \, dx}{(x^2 + R^2)^{3/2}}.\], \[B = \dfrac{\mu_0I}{2\pi R} \left[\dfrac{x}{(x^2 + R^2)^{1/2}}\right]_0^{\infty}.\], Substituting the limits gives us the solution. When a large current is run through the rod, the rotation of compasses will show the magnetic force. Three wires sit at the corners of a square, all carrying currents of 2 amps into the page as shown in Figure \(\PageIndex{4}\). Because of this, low frequency EMR is found in close proximity to electrical sources such as power lines. So when the direction of the magnetic changes the direction of the current has a direct influence to it. Magnetic The current in a wire is due to the production of charges, the same charges are responsible for the production of magnetic field too. When the direction of the current is changed it eventually changes the direction of the magnetic field, meaning the direction of magnetic field depends on the direction of current. The magnetic field is simply the charges which have acquired the force of magnetism in and around any material. Magnetic Field around a Wire. The current is passed in the coil this in turn produces magnetic field and this magnetic field is uniform and also a strong one. The conventional direction of current flow is indicated with a large, black arrow. FROM THE NATIONAL HIGH MAGNETIC FIELD LABORATORY. B = x10^ Tesla = x10^ Gauss. Both wires carry the current of 12amps and 8amps in the same direction, respectively. Electrons are the reason for the conduction of electric current and in turn produces magnetic field too. Iron filings sprinkled on a horizontal surface also delineate the field lines, as shown in Figure \(\PageIndex{3b}\). wire. Magnetic field in a wire is found to be the magnetic lines of forces which are acting upon the wire. The direction of this magnetic field may be found with a second form of the right-hand rule (Figure \(\PageIndex{2}\)). Since the field decreases with distance from the wire, the spacing of the field lines must increase correspondingly with distance. Hall probes can determine the magnitude of the field. Indeed, when Oersted discovered in 1820 that a current in a wire affected a compass needle, he was not dealing with extremely large currents. It is been noted that the magnetic field in a wire is zero only for the ideal conductors, that is when the internal factors seem to be a constant. To observe the direction of the field at any given point around the circumference of the wire, click and drag thecompass needle, (its northpolered, its south pole blue). HiI am Keerthana Srikumar, currently pursuing Ph.D. in Physics and my area of specialization is nano-science. For this example, A = R . When an external magnetic field is applied to the current carrying conductor that is a wire, the internal quantities must be fixed value. The charges are positive and negative, the negatively charged ions are named as the electrons which will produce electric current and this in turn produces the electric followed by the magnetic field. fields arise from charges, similarly to electric fields, One The magnetic field in a straight wire is simply the occurrence when the charges move from one end to another. Explore the magnetic field surrounding the wire and sketch out the pattern of the magnetic field lines observed with the compasses. I completed my Bachelor's and Master's from Stella Maris College and Loyola College respectively. 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The Magnetic Field of a Straight Wire. current I, the magnetic field lines wrap Magnetic field in a wire nothing but the magnetic lines of force passing in the wire when current is passed. Rotating magnetic fields are used in both electric motors and generators. Question 1: A straight current-carrying conductor is carrying a current of 10A. the distance from the wire. moving through a magnetic field depended on the The Benefits Of Circular Wires The current will flow in the direction the thumb is pointing, and the magnetic field direction will be described by the direction of the fingers. Sketch the magnetic field created from a thin, straight wire by using the second right-hand rule. the field is stronger with more turns of the wire. Homework Statement There is a wire of radius r with a current i flowing through it. B = Tesla = Gauss. In a periodic table, there are 118 identified elements. (c) The . When coils are considered the current flow is generally in circular form. Find the magnitude of the magnetic field produced by the system at a distance of 2m. School Guide: Roadmap For School Students, Data Structures & Algorithms- Self Paced Course. Both the laws depend on the inverse of the squared distance. What is the magnetic field at a point P, located a distance R from the wire? The consent submitted will only be used for data processing originating from this website. Similarities between Coulombs law and Biot-Savart Law. When we pass current in a wire there will instantly be both electric and magnetic fields.if(typeof ez_ad_units!='undefined'){ez_ad_units.push([[728,90],'lambdageeks_com-box-3','ezslot_2',856,'0','0'])};__ez_fad_position('div-gpt-ad-lambdageeks_com-box-3-0'); Now let us see what actually the magnetic field in a wire means. How does the strength of the magnetic field at a distance of 1mm compare to the strength of the magnetic field at a distance of 5mm? Depending on the shape of the conductor, the contour of the magnetic field will vary. The y-component is similarly the contributions from wire 1 and the y-component of wire 2: \[B_{net \, y} = -4 \times 10^{-5}T - 2.83 \times 10^{-5}T \, \sin (45^o) = -6 \times 10^{-5}T.\]. Consider dl as an infinitesimally small part of the conductor. The direction of the magnetic field due I have a keen interest in exploring my research skills and also have the ability to explain Physics topics in a simpler manner. 1.21M subscribers 032 - Magnetic Field of a Wire In this video Paul Andersen explains how current moving through a wire will generate a magnetic field tangent to the wire. The solenoid is a coil conducting electric current which converts electrical energy into mechanical energy. Consider the magnetic field of a finite segment of straight wire along the z -axis carrying a steady current . Manage SettingsContinue with Recommended Cookies. The magnetic field is also formed around the conductor through which the current flows. For a magnetic field in a wire to be zero the internal magnetic field must be a fixed one. (b) The magnetic field is stronger at 1mm by a factor of 25. We must also know that since magnetic field comes under the category of vector quantity it by default will have the magnitude which is the strength and the direction for one particular element. Another fascinating phenomenon is that flowing current . Why Is Magnetic Field Circular Around A Wire? Figure \(\PageIndex{1}\) shows a section of an infinitely long, straight wire that carries a current I. a current-carrying wire produces a magnetic field around itself. charged wire, it also fell as 1/r. When we consider the magnetic field in a wire generally the magnetic field is very strong in the area that is closest to the wire the strength of the magnetic field increases when it is closest to the wire. 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