). Unlike electrical circuits that allow electrons to flow, magnetic circuits provide a path for the flow of magnetic flux, generally created by an electromagnetic source. These circuits typically consist of:
. The outer legs provide two parallel pathways for the flux. Length , Cross-sectional area Each Outer Leg: Length , Cross-sectional area The material has a constant relative permeability Objective: Find the coil current ( ) required to produce a flux of in the central leg. Step 1: Unit conversion.
MMF=(2×10-3⋅100,000)+(1×10-3⋅400,000)MMF equals open paren 2 cross 10 to the negative 3 power center dot 100 comma 000 close paren plus open paren 1 cross 10 to the negative 3 power center dot 400 comma 000 close paren MMF=200+400=600 AtMMF equals 200 plus 400 equals 600 At magnetic circuits problems and solutions pdf
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, is added to the core reluctance. Since air is not a good conductor of flux ( ), it requires a significant portion of the total MMF. C. Parallel Magnetic Circuits The outer legs provide two parallel pathways for the flux
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The MMF is given by:
Analyses of magnetic circuits are vastly simplified by drawing direct parallels to direct current (DC) electrical circuits. This relationship is often referred to as , which functions as the magnetic equivalent of Ohm's Law. Electrical Circuit Parameter Magnetic Circuit Analogy Electromotive Force (EMF, Magnetomotive Force (MMF, Magnetic Flux ( Resistance ( Reluctance ( Conductivity ( Permeability ( Current Density ( Flux Density ( Ohm's Law ( Hopkinson's Law ( Kirchhoff's Current Law (KCL) (Flux entering a node equals flux leaving) Kirchhoff's Voltage Law (KVL) Key Limitations of the Analogy