Find I(coil): Solenoid & Coil Setup

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SUMMARY

The discussion focuses on calculating the induced current (I(coil)) in a coil surrounding a solenoid. The coil has 44 turns, a diameter of 3.90 cm, and a resistance of 0.510 ohms, while the solenoid has 240 turns and a length of 16.0 cm. The current through the solenoid is given by I(solenoid) = 0.530A sin(2πft) with a frequency of 60 Hz. The correct approach involves calculating the magnetic flux through the coil and then determining the induced electromotive force (emf) to find I(coil).

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Homework Statement


A 44.0 -turn, 3.90-cm-diameter coil with R(resistance) = 0.510 surrounds a 2.40-cm-diameter solenoid. The solenoid is 16.0 long and has 240 turns. The 60 Hz current through the solenoid is I(solenoid)= 0.530Asin2\pift.


Homework Equations


Find the value of I(coil), the induced current in the coil at time = 1.22 .



The Attempt at a Solution



I am not sure if I am on the right track, I found an expression for the flux through the coils and then found the induced emf. Is this the correct way to go about it.




 
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