Before offering a formal definition, it is useful to consider the broader concept of the magnetic field. [ "article:topic", "license:ccbysa", "authorname:swellingson", "showtoc:no", "Magnetic Flux Density" ], Associate Professor (Electrical and Computer Engineering), Virginia Polytechnic Institute and State University, Virginia Tech Libraries' Open Education Initiative, https://doi.org/10.21061/electromagnetics-vol-1, https://creativecommons.org/licenses/by-sa/4.0. 1) Enter a valid value into the input field below. We refer to \({\bf B}\) as magnetic flux density, and therefore tesla is a unit of magnetic flux density. Whatever the source, we are now interested in quantifying its behavior. In SI, this combination of units is known as the tesla (T). We’ll get to the details about direction and magnitude in a moment, but the main idea is now evident. These are questions for which classical physics provides no obvious answers. The other common magnetic flux density units are gauss, maxwell per square inch and weber per square centimeter. Here it is: The force applied to a particle bearing charge \(q\) is, \[\mathbf { F } = q \mathbf { v } \times \mathbf { B } \label{m0005_eFqvB}\]. If this flux changes by 1 Wb over a time of 1s, then a voltage of 1 V is induced in a conductive loop encircling it: 1 Wb = 1 Vs. Mathematically it is represented as B = Φ/A where B is magnetic flux density in teslas (T), Φ is magnetic flux in webers (Wb), and A is area in square meters (m2). Dimensional analysis of \ref{m0005_eFqvB} reveals that \({\bf B}\) has units of (N\(\cdot\)s)/(C\(\cdot\)m). It is also sometimes known as "magnetic induction" or simply "magnetic field". The LibreTexts libraries are Powered by MindTouch® and 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. 10-8. weber (Wb), volt second (Vּs) Magnetic potential difference,magnetomotive force. Remember also that motion is required for the magnetic field to influence the particle. From this, we infer that the underlying mechanism is the same – i.e., the vector field generated by a current-bearing coil is the same phenomenon as the vector field associated with a permanent magnet. Suddenly, the particle perceives a force. The magnetic flux density (magnetic field) is an invisible field surrounded by magnets and electric currents. A magnetic field is something that applies a force to a charged particle in motion, distinct from (in fact, in addition to) the force associated with an electric field. The cross product of two vectors is in a direction perpendicular to each of the two vectors, so the force exerted by the magnetic field is perpendicular to both the direction of motion and the direction in which the magnetic field points. B. gauss (G) d. 10-4. tesla (T), Wb/m 2. It can be thought of as the density of the magnetic field lines - the closer they are together, the higher the magnetic flux density. Have questions or comments? 2015 - asknumbers.com. For magnetic flux units converter, please visit Magnetic Flux Conversion. The other common magnetic flux density units are gauss, maxwell per square inch and weber per square centimeter. Figure \(\PageIndex{3}\) (bottom) shows an example. So, how can we quantify a magnetic field? The strongest man-made magnet in the world, located at the National High Magnetic Field Laboratory in Tallahassee, Fl, has a strength of about 45 Tesla. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. We want to hear from you. 1. Download Magnetic Flux Density Unit Converter our powerful software utility that helps you make easy conversion between more than 2,100 various units of measure in more than 70 categories. For magnetic flux units converter, please visit Magnetic Flux Conversion What is Magnetic Flux Density? Any quantity that is obtained by integration over a surface is referred to as “flux,” and so it becomes natural to think of \({\bf B}\) as a flux density; i.e., as flux per unit area. Magnetic field lines are remarkable for the following reason: A magnetic field line always forms a closed loop. The answer from classical physics involves another experimentally-derived equation that predicts force as a function of charge, velocity, and a vector field \({\bf B}\) representing the magnetic field. This is true in a sense even for field lines which seem to form straight lines (for example, those along the axis of the bar magnet and the coil in Figures \(\PageIndex{4}\) and \(\PageIndex{5}\), since a field line that travels to infinity in one direction reemerges from infinity in the opposite direction. The flux density is called induction. The SI unit for magnetic flux is the weber (Wb). Next, imagine that a charged particle appears. Now, it is worth noting that a single charged particle in motion is the simplest form of current. This concept is illustrated in Figure \(\PageIndex{4}\) for a permanent bar magnet and Figure \(\PageIndex{5}\) for a current-bearing coil. The N-end of one magnet attracts the S-end of another magnet but repels the N-end of the other magnet and so on. ampere (A) Magnetic field strength, magnetizing force. The SI unit for magnetic flux is the weber (Wb). The electromagnetic force also gives rises to the electric field, and it is only limited intuition, grounded in classical physics, that leads us to perceive the electric and magnetic fields as distinct phenomena. 10 3 /4π. A bar magnet has “poles” identified as “N” (“north”) and “S” (“south”). 1.25 T – magnetic flux density at the surface of a neodymium magnet 1 T to 2.4 T – coil gap of a typical loudspeaker magnet 1.5 T to 3 T – strength of medical magnetic resonance imaging systems in practice, experimentally up to 17 T [12] Magnetic flux density is the amount of magnetic flux per unit area of a section that is perpendicular to the direction of flux. To begin, let us consider the effect of a magnetic field on a electrically-charged particle. Report adoption of this book here. In fact, webers per square meter is the unit for flux density. Discover a universal assistant for all of your unit conversion needs - download the free demo version right away! It is sufficient to accept this apparent strangeness as fact and proceed accordingly.
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