# HW3 - ECE321/ECE595 Spring 2012 Homework 3 Problem 1 UI...

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ECE321/ECE595 Spring 2012 Homework 3 Problem 1 – UI Inductor Analysis Consider the UI inductor design we did in class. Recall we had N = 260 Turns d = 8.4857 cm g = 13.069 mm w = 1.813 cm a w = 21.5181 mm 2 d s = 8.94 cm w s = 8.94 cm In our design, we assumed that the permeability of the material was infinite. Compute (a) the inductance, (b) the flux density in the magnetic material, (c) the flux density in the air gap, (d) the field intensity of the magnetic material, and (e) the field intensity in the air gap if we assume that the relative permeability of the magnetic material is 5000. Finally compute (f) the percentage error between the desired inductance and the inductance that we calculate assuming a relative permeability of 5000. Assume the current is 40 A. Problem 2 – UI Inductor Analysis Energy stored in a magnetic field may be expressed: = volume dv E H B 2 1 For our inductor design (Problem 1), again assuming a magnetic permeability of 5000

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HW3 - ECE321/ECE595 Spring 2012 Homework 3 Problem 1 UI...

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