Iron core with pr The transformer shown consists of a long wire coincident with the z-axis and carrying a current I = Io coswt, coupling magnetic energy to a toroidal coil situated in the x-y plane and centered at the origin. The toroidal coil uses iron material with permeability μ. The tightly wound coil of N turns serves to induce voltage Vem f as shown in the figure. a. Develop an expression for Vem f b. Calculate Vemf for N = 100, f = 60 Hz, μ = 4000μo, a = 5 cm, b = 6 cm, c= 2 cm, and Io = 50 A

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V
emf
Iron core with
The transformershown consists of a long wire coincident with the z-axis and carrying a current I = Io coswt, coupling magnetic energy to a toroidal coil situated in the x-y
plane and centered at the origin. The toroidal coil uses iron material with permeability µ. The tightly wound coil of N turns serves to induce voltage Vemf as shown in the figure.
a. Develop an expression for Vem f
b. Calculate Vem f for N = 100, f = 60 Hz, μ = 4000μo, a = 5 cm, b=6 cm, c = 2 cm, and Io = 50 A
Transcribed Image Text:V emf Iron core with The transformershown consists of a long wire coincident with the z-axis and carrying a current I = Io coswt, coupling magnetic energy to a toroidal coil situated in the x-y plane and centered at the origin. The toroidal coil uses iron material with permeability µ. The tightly wound coil of N turns serves to induce voltage Vemf as shown in the figure. a. Develop an expression for Vem f b. Calculate Vem f for N = 100, f = 60 Hz, μ = 4000μo, a = 5 cm, b=6 cm, c = 2 cm, and Io = 50 A
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