The transformer shown in the figure consists of a long wire coincident with the z-axis carrying a

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The transformer shown in the figure consists of a long wire coincident with the z-axis carrying a current I = I0 cos t, coupling magnetic energy to a toroidal coil situated in the x€“y plane and centered at the origin. The toroidal core uses iron material with relative permeability μr, around which 100 turns of a tightly wound coil serves to induce a voltage Vemf, as shown in the figure.

Vent Iron core with 4
(a) Develop an expression for Vemf.
(b) Calculate Vemf for f = 60 Hz, μr = 4000, a =5 cm, b =6 cm, c =2 cm, and I0 = 50 A.
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Mechanics of Materials

ISBN: 978-0495438076

7th edition

Authors: James M. Gere, Barry J. Goodno

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