How Do You Calculate Induced Current in a Coil with Changing Magnetic Field?

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To calculate the induced current in a coil with a changing magnetic field, first determine the electromotive force (emf) using Faraday's law of electromagnetic induction. The emf is calculated as E = -N(dΦ/dt), where N is the number of turns and dΦ/dt is the rate of change of magnetic flux. In this case, the magnetic field decreases from 1.8 T to 0 T over 4.3 seconds. The induced current can then be found using Ohm's law, I = E/R, where R is the resistance of the coil. Understanding the relationship between emf and current is essential for solving this problem.
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Homework Statement



The component of the external magnetic field along the central axis of a 50 turn coil of radius 4.7 cm decreases from 1.8 T to 0 T in 4.3 s.

If the resistance of the coil is 2.8 , what is the magnitude of the induced current in the coil?

Homework Equations





The Attempt at a Solution



E=50*(1.8T*pi*.047sqrd)/.43

I am confused on how you incorporate the resistance
 
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The question asks you to find the induced current, not just the emf. How do you find current from emf?
 

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