A conducting circular loop of resistance \(20 \Omega\) and cross-sectional area \(20 \times 10^{-2} \mathrm{~m}^{2}\) is placed perpendicular to a spatially uniform magnetic field B, which varies with time tas \(\mathrm{B}=2 \sin (50 \pi t)\) T. Find the net charge flowing through the loop in \(20 \mathrm{~ms}\) starting from \(\mathrm{t}=0\)

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.