Conceptual question about Faraday's Law

AI Thread Summary
The discussion revolves around a problem involving Faraday's Law, where a solenoid with a specific number of turns and current induces an emf in a circular loop placed within it. The user expresses confusion about the absence of the solenoid's area in the calculations and questions its relevance to the induced emf. It is clarified that the magnetic field inside the solenoid is uniform, making the area of the solenoid irrelevant for calculating the induced emf in the loop. The induced emf is determined solely by the change in current and the properties of the loop itself. This highlights the importance of understanding the uniform magnetic field in solenoids when applying Faraday's Law.
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Homework Statement


A solenoid has 10 turns/cm and carries a 4-A current. A circular loop with 5 turns of area i cm^2 lies within the solenoid with its axis at 37 degrees to the axis of the solenoid. Find the magnitude of the average induced emf if the current increases by 25% in .1 seconds.

I got the right answer, but something makes me a little uncomfortable: how come the solenoid's area is not given, and why is it not relevant to the solution? Shouldn't the flux through the loop depend on the ratio of (area of loop) * cos(37) /(area of solenoid)?
 
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Because inside solenoid, the magnetic field is radially uniform.
 
I get it. Thanks.
 

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