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Everything about Magnetic Circuit totally explained

A magnetic circuit is a closed path containing a magnetic flux. It generally contains magnetic elements such as permanent magnets, ferromagnetic materials and electromagnets, but may also contain air gaps and other materials. Some examples of magnetic circuits are:

Magnetic circuit laws

If Phi is the magnetic flux in the circuit, Theta is the magnetomotive force F applied to the circuit, and R_m is the reluctance of the circuit, then it follows from Ampère's law that:
» Phi = frac F R

This is analogous to Ohm's law in electrical circuits, where the current is equal to the voltage (sometimes called electromotive force) divided by the resistance of the circuit. Here, magnetic flux, magnetomotive force and reluctance are analogous to current, voltage and resistance respectively.
   If A is the area, μ is the permeability of the material, and l is the length » R_m = frac (Note that, per Stokes's theorem, the closed line integral of H dot dl around a contour is equal to the open surface integral of curl H dot dA across the surface bounded by the closed countour. Since, from Maxwell's equations, curl H = J, the closed line integral of H dot dA evaluates to the total current passing through the surface. This is equal to the excitation, NI, which also measures current passing through the surface, thereby verifying that the net current flow through a surface is zero ampere-turns in a closed system that conserves energy.)
   More complex magnetic systems, where the flux isn't confined to a simple loop, must be analysed from first principles by using Maxwell's equations.

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