(Answered) A magnetic field is present in space and is time dependent

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A magnetic field is present in space and is time dependent. It is given by:

B(t) = sin(t) i + (7-t) j + (2+3t) k

A wire in the shape of a rectangle is lying in the xy plan has its corners at points: (0,0,0) , (0,1,0) , (2,1,0) , (2,0,0). The wire has a resistance of 0.6 ohms.

What is the magnitude of the current in the wire as a function of time?

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