EMF in a square loop due to magnetic field from an infinite wire

1. The problem statement, all variables and given/known data

Determine the emf induced in the square loop in the figure if the loop stays at rest and the current in the straight wire is given by I(t)=(15.0A)sin(2500t) where t is in seconds. The distance a is 12.0 cm, and b is 15.0 cm.

2. Relevant equations

emf = Δmagneticflux/Δt
magnetic flux = BA
magnetic field from infinite wire = (μI)/(2*pi*R)

3. The attempt at a solution

I tried using the using the magnetic field from the wire and the area of the square loop to calculate magnetic flux. My final answer was: (2.9*10^-7*sin(2500t))/t

But this isn’t the right answer, so I’m guessing that I have to integrate with Faraday’s Law but I am clueless about integrals

Attached Images
File Type: jpg GIANCOLI.ch29.p26.jpg (33.7 KB)


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