A big circular coil of \(1000\) turns and average radius \(10\,m\) is rotating about its horizontal diameter at \(2\,rad.s ^{-1}\). If the vertical component of earth's magnetic field at that place is \(2 \times 10^{-5}\,T\) and electrical resistance of the coil is \(12.56 \,\Omega\), then the maximum induced current (in \(A\)) in the coil will be :

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.