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# hw3 - EE321 Spring 08 Homework 3 Problem 11 UI Inductor...

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EE321 Spring 08 Homework 3 Problem 11 – UI Inductor Analysis Consider the UI inductor design we did in class. Using 1 = dw η we get*: N = 260 Turns d = 8.4857 cm g = 13.069 mm w = 1.813 cm aw = 21.5181 (mm)^2 ds = 8.94 cm ws = 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 2500. Finally compute (f) the percentage error between the desired inductance and the inductance that we calculate assuming a relative permeability of 2500. Assume the current is 40 A. * These are a little different numbers than in class – remember I had accidently set dw η to something else. Problem 12 – UI Inductor Analysis Energy stored in a magnetic field may be expressed: = volume dv E H B 2 1

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