A powdered iron (Bsat = 1 T) toroid core has µ = 25µ0 (µ0 = 4π × 10-7 H/m). The outside diameter is 30 mm, the inside diameter is 15 mm, and the thickness is 10 mm. a) What energy can be stored in an inductor built on this core? b) In a certain dc-dc converter application, the maximum volt · second value is 50 µV · s. Choose a number of turns to allow this core to meet this limit. What are the inductance and current rating? c) What is the highest current rating that can be achieved in an inductor built on this core?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter33: Inductors And Ac Circuits
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A powdered iron (Bsat = 1 T) toroid core has µ = 25µ0 (µ0 = 4π × 10-7 H/m). The outside diameter is 30 mm, the inside diameter is 15 mm, and the thickness is 10 mm.


a) What energy can be stored in an inductor built on this core?

b) In a certain dc-dc converter application, the maximum volt · second value is 50 µV · s. Choose a number of turns to allow this core to meet this limit. What are the inductance and current rating?

c) What is the highest current rating that can be achieved in an inductor built on this core?

 
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