![]() ![]() Summarizing, there is no “localizable” quantity, analogous to charge for electric fields, associated with magnetic fields. So, when we say that current (for example) is the source of the magnetic field, we mean only that the field coexists with current, and not that the magnetic field is somehow attached to the current. This is one way in which the magnetic field is very different from the electrostatic field, for which every field line begins at a charged particle. Kikkeri)įollowing this argument one step further, GLM implies there can be no particular particle or structure that can be the source of the magnetic field (because then that would be a start point for field lines). Image used wtih permission ( CC BY SA 4.0 K. This emf must oppose the change (the termination of the current) causing it. When the switch is opened, the decrease in current through the solenoid causes a decrease in magnetic flux through its coils, which induces an emf in the solenoid. It can be a measure of how much magnetic field the surface under consideration is exposed to.\) is again zero. Another example illustrating the use of Lenz’s law is shown in Figure 13.3.2 13.3. This calculated magnetic flux value, if changes with time, could induce an electromotive force in a coil as per Faraday’s law of electromagnetic induction. So, the magnetic flux Φ through the given surface area is 2 Weber. Calculate: Plug the values of B and A into the equation.Since the magnetic field is perpendicular to the area, the dot product simplifies to the multiplication of the magnitudes. Apply the magnetic flux equation: According to the magnetic flux equation, Φ = B.Identify the values: In this case, B = 2 T and A = 1 m 2.Let’s consider a simple scenario where a uniform magnetic field (B) of strength 2 Tesla (T) is passing perpendicular through a square area (A) of size 1 square meter (m 2). Its applications extend across a myriad of devices and technologies that form the basis of modern life. Understanding the concept of magnetic flux and its equation is vital in electromagnetic theory and in the field of electrical engineering. Step 3: Plug in the time at which the EMF is being determined. Step 2: Take the first derivative of the equation from step 1. The design of these devices depends significantly on controlling magnetic flux. Step 1: Determine an expression for the magnetic flux through the loop. It is indispensable in the functioning of transformers, inductors, electric motors, and generators. Magnetic flux plays a critical role in various electrical and electronic devices. The negative sign represents Lenz’s Law which states that the induced emf and the change in flux have opposite directions. This law is stated as: emf = -dΦ/dt, meaning that the emf induced in a circuit is equal to the rate of change of magnetic flux through the circuit. It can also be expressed in other units like Maxwell, where 1 Weber equals 10 8 Maxwells.įaraday’s Law of electromagnetic induction, which relates changes in magnetic flux to electromotive force (emf), highlights the significance of magnetic flux in electromagnetism. In the International System of Units (SI), magnetic flux is measured in Weber (Wb). The dot product means that only the component of the field that is perpendicular to the surface is considered. 31 Again, the conceptual choice between the spatial localization of magnetic energy either at the location of electric currents only, as implied by Eqs. The magnetic flux (Φ) through a surface is calculated by the surface integral of the magnetic field (B) over an area (A). The magnetic flux density is defined as the force per unit current per unit length acting on a wire at right angles to a magnetic field. Magnetic field energy U u(r)d3r, with u(r) 1 20B2(r), clearly similar to Eq. It measures the total magnetic field that passes through a given area. Magnetic flux, represented by the Greek letter Phi (Φ), is a fundamental concept in electromagnetism. Explore the fundamentals of magnetic flux, its equation, unit, significance in electromagnetism, and an example of flux calculation. ![]()
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