What is the magnitude of the induced current in the coil

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SUMMARY

The discussion focuses on calculating the magnitude of the induced current in a 50-turn coil with a radius of 5.0 cm, subjected to a changing magnetic field of 1.0 T over 4.3 seconds. Using Faraday's law of electromagnetic induction, the induced electromotive force (emf) can be calculated by considering the rate of change of magnetic flux through the coil. The resistance of the coil is given as 2.9 Ω, which allows for the determination of the induced current using Ohm's law. The direction of the current is determined by Lenz's law, indicating that it will oppose the change in magnetic flux.

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  • Understanding of Faraday's law of electromagnetic induction
  • Knowledge of Ohm's law and electrical resistance
  • Familiarity with magnetic flux and its calculation
  • Basic principles of electromagnetism
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  • Calculate induced emf using Faraday's law for varying magnetic fields
  • Explore the relationship between magnetic flux and induced current
  • Study Lenz's law and its application in electromagnetic induction
  • Investigate the effects of coil geometry on induced current
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kbyws37
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The component of the external magnetic field along the central axis of a 50−turn coil of radius 5.0 cm increases from 0 to 1.0 T in 4.3 s. (a) If the resistance of the coil is 2.9 Ω, what is the magnitude of the induced current in the coil? (b) What is the direction of the current if the axial component of the field points away from the viewer?


I am trouble starting this problem.
Which equation am I suppose to start with.
I am trying to use
emf = vBL
but I don't know what v would be.
i tried to use Faraday's law equation but i didn't have all of the exponents.
 
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You are not applying Faraday's law correctly for this particular question. For (a), you want to consider the rate of change of magnetic flux through the coil. Think of the coil as 50 circular loops. Think of the area of a loop.
 

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