Calculate EMF in a Loop: Faradays Law

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    Emf Induced Loop
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To calculate the induced EMF in a loop of wire, Faraday's Law is essential, as it relates the induced EMF to the change in magnetic flux over time. The formula used is \(\mathcal{E} = -\frac{d\Phi_B}{dt}\), where the change in magnetic flux is given as 71.1 milliweber over a time interval of 16.7 milliseconds. The calculation results in an induced EMF of approximately 4.25 millivolts. This approach emphasizes the importance of understanding magnetic flux and its relation to induced voltage. Faraday's Law remains the primary method for such calculations.
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Homework Statement


C
alculate the emf (in volts) induced in a loop of wire if the magnetic flux in the loop increases from zero to 71.1 milliweber in 16.7 millisec.



Homework Equations



faradays Law

The Attempt at a Solution



The only law I know is faradays law which uses Area. Is there another formula that does not need it?
 
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Faraday's Law is the only one that links the induced EMF to the change in Magnetic Flux, why would you want to use anything else?

\mathcal{E} = -\frac{d\Phi_B}{dt}

You're given the change in the magnetic flux (Remember, one Weber is one Tesla * m^2) and the time over which the change occurred in this question.
 
So would it just be

71.1mWb / 16.7 ms = 4.25 mV ?
 
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