A flat loop of wire consisting of a single turn of cross-sectional area 20.0 cm² is perpendicular to a uniform magnetic field that increases in magnitude at a steady rate, from 0.500 tesla to 1.50 tesla in 0.200 seconds. What is the induced current if the loop has a resistance of 2.00 Q?

A flat loop of wire consisting of a single turn of cross-sectional area 20.0 cm² is perpendicular to a uniform magnetic field that increases in magnitude at a steady rate, from 0.500 tesla to 1.50 tesla in 0.200 seconds. What is the induced current if the loop has a resistance of 2.00 Q?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 3P: A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to...

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Question

1. A flat loop of wire consisting of a single turn of cross-sectional area 20.0 cm² is perpendicular
to a uniform magnetic field that increases in magnitude at a steady rate, from 0.500 tesla to 1.50
tesla in 0.200 seconds. What is the induced current if the loop has a resistance of 2.00 Q?

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Step 1: Finding the relation between the induced emf and the change in the magnetic flux:

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Step 2: Finding the relation between current and magnetic field:

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Step 3: Finding the value of the induced current:

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