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/ is the derivative, with respect to time, of the current through the inductor, labeled 2, that is coupled to the first inductor; and M {\displaystyle M} is the mutual inductance. The minus sign arises because of the sense the current i 2 {\displaystyle i_{2}} has been defined in the diagram.
The relationship between the time-varying voltage v(t) across an inductor with inductance L and the time-varying current i(t) passing through it is described by the differential equation: = When there is a sinusoidal alternating current (AC
Heaviside's version (see Maxwell–Faraday equation below) is the form recognized today in the group of equations known as Maxwell's equations. Lenz's law , formulated by Emil Lenz in 1834, [ 13 ] describes "flux through the circuit", and gives the direction of the induced emf and current resulting from electromagnetic induction (elaborated ...
On the far side of the figure, the return current flows from the rotating arm through the far side of the rim to the bottom brush. The B-field induced by this return current opposes the applied B-field, tending to decrease the flux through that side of the circuit, opposing the increase in flux due to rotation. On the near side of the figure ...
This is in keeping with the intuitive point that the inductor will only have a voltage across as long as the current in the circuit is changing — as the circuit reaches its steady-state, there is no further current change and ultimately no inductor voltage. These equations show that a series RL circuit has a time constant, usually denoted τ ...
In a series RLC circuit at resonance, the current is limited only by the resistance of the circuit =. If R is small, consisting only of the inductor winding resistance say, then this current will be large. It will drop a voltage across the inductor of =.
The henry (symbol: H) is the unit of electrical inductance in the International System of Units (SI). [1] If a current of 1 ampere flowing through a coil produces flux linkage of 1 weber turn, that coil has a self-inductance of 1 henry. The unit is named after Joseph Henry (1797–1878), the American scientist who discovered electromagnetic induction independently of and at about the same ...
This means that the direction of the back EMF of an induced field opposes the changing current that is its cause. D.J. Griffiths summarized it as follows: Nature abhors a change in flux. [7] If a change in the magnetic field of current i 1 induces another electric current, i 2, the direction of i 2 is opposite that of the change in i 1.