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I used Faraday\'s Law to solve this but I just need to check my answer since the

ID: 2012322 • Letter: I

Question

I used Faraday's Law to solve this but I just need to check my answer since the answers to all of the practice problems are not listed. Thank you! [ can you also please go through all of your steps/work though so i can make sure mine matches up] <3.

Part 1: A flat coil of wire consisting of 20 turns each with an area of 50cm2 is positioned perpendicularly to a uniform magnetic field that increases its magnitutde at a constant rate from 2.0T to 8.0T in 2.0s; what is the magnitude of the inducded emf?

a.)28mV

b.)100mV

c.)200mV

d.)300mV

Part 2: which of the following is NOT an application of Faraday's law?

a.) electric guitar

b.) ransformer

c.) mass spectrometer

Explanation / Answer

1) Given     Number of turns ,N = 20 turns     Area of the coil , A = 50 *10^-4 m^2     Rate of change of magnetic field , dB / dt = (8.0 T - 2.0T ) / 2.0s                                                                   = 3 T/s     Induced emf , e = N d/ dt                             = N ( d (BA) / dt )                              = N A dB / dt                               = 20 * (50 *10^-4 m^2) * (3 T/s)                           e =  300 mV Option d is correct 2) Mass spectrometer is not an application of Faraday's law    
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