A circular coil of wire with 450 turns and a radius of 8.5 cm is placed horizontally on a table. A uniform magnetic field pointing directly up is slowly turned on, such that the strength of the magnetic field can be expressed as a function of time as: B(t) = 0.03 (T /s2) × t2. What is the total EMF in the coil as a function of time? In which direction does the current flow?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter23: Faraday’s Law And Inductance
Section: Chapter Questions
Problem 4OQ: A circular loop of wire with a radius of 4.0 cm is in a uniform magnetic field of magnitude 0.060 T....
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A circular coil of wire with 450 turns and a radius of 8.5 cm is placed horizontally on a table. A uniform magnetic field pointing directly up is slowly turned on, such that the strength of the magnetic field can be expressed as a function of time as: B(t) = 0.03 (T /s2) × t2.

What is the total EMF in the coil as a function of time?

In which direction does the current flow?

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