Finding Loop Current in Uniform Magnetic Field | 0.13m^2, 5.0 Ohms, B_z_=at^2-b

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To find the loop current in a conducting loop with an area of 0.13 m² and a resistance of 5.0 ohms in a time-varying magnetic field, apply Faraday's law of electromagnetic induction. The magnetic field is defined as B_z = at² - b, with given constants a = 2.4 T/s² and b = 8.2 T. The first step involves calculating the electromotive force (emf) induced in the loop due to the changing magnetic flux. As the magnetic flux changes over time, the induced current can be determined using the formula I = emf/R. The solution requires careful application of Faraday's law to account for the time-dependent nature of the magnetic field.
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Homework Statement



A conducting loop with area 0.13m^2 and resistance 5.0 ohms lies in the x-y plane. A spatially uniform magnetic field points in the z direction. The fields varies with time according to B_z_=at^2 - b, what a=2.4 T/s^2 and b=8.2 T

Find the loop current t=1.5s

I= A

Homework Equations



Im looking for I and I am given a R so I know I use I=emf/ R
Im guessing my 1st step is to find "emf" but there lies my problem...how should I go about it?
Thankyou.

The Attempt at a Solution

 
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Just apply Faraday's law. Now of course the question is how exactly do you apply it? Note that magnetic flux through a conducting loop changes if either the strength or direction of the field varies with time.
 

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