Calculating Induced Current in Coaxial Solenoid-Wire System

AI Thread Summary
The discussion focuses on calculating the induced current in a coaxial solenoid-wire system, where the wire makes two loops around the solenoid. The problem involves applying Faraday's law to determine the induced electromotive force (emf) and subsequently the current using the formula I = ξ/R. The key point is that the number of loops (n) in the wire affects the induced emf, leading to the equation I = n(ξ)/R. Clarification was sought regarding whether the induced current would be calculated as I = 2ξ/R due to the two loops. The conversation concludes with acknowledgment of the explanation provided.
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I'm working on a question that I could use some help on. The problem basically says there is a solenoid with a current running through it given by an equation. There is a wire that is coaxial with and surrounding the solenoid, and the wire makes two loops around the solenoid. A resistance for the wire is also given. The question wants to know what the current in the wire is. Now, I know that if the wire was only looping around the solenoid once, I could just use faraday's law to calculate the induced emf, and then use I=\xi/R. What I can't figure out is how does the fact that there are two loops in the wire affect the induced current? Thanks for any replies.
 
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The equation for induced current if the wire is wrapped n times around the magnetic field is:
I = \frac{\xi}{R} = \frac{n \dot{\phi_{t}}}{R}
 
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Thanks for the quick reply. I'm just a tad confused about your notation. Are you saying that in this case I = 2\xi/R? Or that if the emf is known, then it is always simply I=\xi/R?

Edit: Oh, ok. I didn't see your edit there. Thanks for the help.
 
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