A very long, straight solenoid with a crosssectional area

Chapter 29, Problem 29.49

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A very long, straight solenoid with a cross-sectional area of \(2.00 \ \mathrm{cm}^2\) is wound with 90.0 turns of wire per centimeter. Starting at t = 0, the current in the solenoid is increasing according to \(i(t) = (0.160 \ \mathrm {A/s}^2)t^2\). A secondary winding of 5 turns encircles the solenoid at its center, such that the secondary winding has the same cross-sectional area as the solenoid. What is the magnitude of the emf induced in the secondary winding at the instant that the current in the solenoid is 3.20 A?

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