# hw2 - EE321 Spring 08 Homework 2 Problems 6 UI Inductor...

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EE321 Spring 08 Homework 2 Problems 6 – UI Inductor Analysis Consider the UI core shown in Figure 1.4-1. Consider the following parameters: 1 = w cm; 5 = s w cm; 2 = s d cm; 5 = d cm; 1 = 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 ? Consider your results from Problem 5. 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, that 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 7 – On Permeability Functions The H B

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