The magnitude of the induced current is, (I=9 /R). The principal of ohm's law is employed in the given problem.
Emf is the production of a potential difference in a coil as a result of changes in the magnetic flux passing through it.
When the flux coupling with a conductor or coil changes, electromotive force, or EMF, is said to be induced.
The given data in the problem is;
B is the magnetic field,= 2t^2−3.
t(time)=3 sec
The induced EMF is found as;
[tex]\rm E= \frac{d \phi}{dt} \\\\\ \rm E= \frac{d(2t^2-3)}{dt} \\\\\ E=4t-3\\\\\ t= 3 sec \\\\ E=12-3 \\\\\ E= 9 \ V[/tex]
From ohm's law;
E=IR
I=E/R
I=9 /R
Hence,the magnitude of the induced current is, (I=9 /R).
To learn more about the induced emf, refer to the link;
https://brainly.com/question/16764848
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