A very long, straight solenoid with a cross-sectional area of 2.40 cm² is wound with 86.5 turns of wire per centimeter. Starting at t = 0, the current in the solenoid is increasing according to i (t) = (0.168 A/s²)t². A secondary winding of 5.0 turns encircles the solenoid at its center, such that the secondary winding has the same cross-sectional area as the solenoid.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter31: Gauss’s Law For Magnetism And Ampère’s Law
Section: Chapter Questions
Problem 40PQ
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What is the magnitude of the emf induced in the secondary winding at the instant that the current in the solenoid is 3.2 A?

Express your answer with the appropriate units.

|ε|=

A very long, straight solenoid with a cross-sectional area of 2.40 cm² is wound with 86.5
turns of wire per centimeter. Starting at t = 0, the current in the solenoid is increasing
according to i (t) = (0.168 A/s²)t². A secondary winding of 5.0 turns encircles the
solenoid at its center, such that the secondary winding has the same cross-sectional area
as the solenoid.
Transcribed Image Text:A very long, straight solenoid with a cross-sectional area of 2.40 cm² is wound with 86.5 turns of wire per centimeter. Starting at t = 0, the current in the solenoid is increasing according to i (t) = (0.168 A/s²)t². A secondary winding of 5.0 turns encircles the solenoid at its center, such that the secondary winding has the same cross-sectional area as the solenoid.
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