Find the EMF in the loop as a function of time.

  • #1

Homework Statement



electromagnetic field

Homework Equations



E=hv

The Attempt at a Solution



I know that t is the variable and h1 and h2 I and I2 are considered given all we are doing is doing the algebra set up but not sure how to show this exactly.?
 

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  • #2
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Recall the definition of the induced emf,

[itex]\text{emf} = - \frac{d\Phi}{dt},[/itex]

where the magnetic flux is defined as

[itex]\Phi = \int \vec{B} \cdot d\vec{A}.[/itex]

Your goal is to find the flux as a function of time (clearly it is a function of time, since the area of the loop is growing with time), and then insert that into the formula for the induced emf. So it's a two step process: evaluate the integral to obtain the flux, and then take its time derivative.
 

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