Find I(coil): Solenoid & Coil Setup

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To find the induced current I(coil) in a coil surrounding a solenoid, the magnetic flux through the coil must be calculated, followed by determining the induced electromotive force (emf). The setup includes a 44-turn coil with a diameter of 3.90 cm and a solenoid with 240 turns, operating at a frequency of 60 Hz. The current through the solenoid is given as I(solenoid) = 0.530A sin(2πft). The approach of calculating the magnetic flux and induced emf is confirmed as correct for solving the problem. This method will lead to the determination of I(coil) at the specified time.
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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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