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HW2 - EE321 Spring 2012 Homework 2 Problems 1 UI Inductor...

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EE321 Spring 2012 Homework 2 Problems 1 – UI Inductor Analysis Consider the UI core below. Consider the following parameters: 1 = w cm; 5 = s w cm; 2 = s d cm; 5 = d cm; 1.5 g = mm; 100 = N . Suppose the material used is such that for a flux density less than 1.3 T (the saturation point), the magnetic material is linear and has a permeability 1500 times that of free space (i.e. a relative permeability of 1500). What is the inductance of the UI core ? For the current level that yields a flux density of 1.3 T, what will be the energy stored in the inductor. Recompute the inductance of the core, the current that will result in a flux density of 1.3 T, and the energy stored in the core if the airgap is removed. This example illustrates why inductors utilize an air gap. Note: along these lines, it worth noting that energy density at any point is the dot product of the field intensity and the flux density. Problem 2 – On Permeability Functions The H B - characteristic of a certain magnetic material may be expressed by b b sat H H H H M H H + + = 1 ) B( 0 μ
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