Farady Law Question: T=T/2 Current?

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The discussion centers on the application of Faraday's law of electromagnetic induction in relation to a scenario where the period T is halved to T/2. It is questioned whether this change in period results in the induced current also being halved. The relationship between the induced electromotive force (emf) and the rate of change of magnetic flux linkage is emphasized. The conclusion drawn is that a closed loop will indeed generate an induced current due to the induced emf. Understanding these principles is crucial for accurately applying Faraday's law in practical situations.
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Homework Statement



Please check picture below.
http://i.imgur.com/OrqKc.png
OrqKc.png


Homework Equations





The Attempt at a Solution



If T=T/2, shouldn't my current become half?
 

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An emf will be induced in the coil given by Faraday's law
emf = rate of change of magnetic flux linkage
This will give rise to an induced current since there is a closed loop
 
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