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

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SUMMARY

The discussion focuses on calculating the induced current in a 50-turn coil with a radius of 4.7 cm, as the external magnetic field decreases from 1.8 T to 0 T over 4.3 seconds. The resistance of the coil is given as 2.8 ohms. The induced electromotive force (emf) is calculated using the formula E = N * (ΔB/Δt) * A, where N is the number of turns, ΔB is the change in magnetic field, and A is the area of the coil. To find the induced current, Ohm's Law (I = E/R) is applied, where I is the current, E is the induced emf, and R is the resistance.

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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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