A parallel-plate capacitor with circular plates is being discharged. The radius of the circular plate is \(10 \mathrm{~cm}\). A circular loop of radius \(20 \mathrm{~cm}\) is concentric with the capacitor and located halfway between the plates. If the electric field between the plates is charging at the rate \(3.6 \times 10^{12} \mathrm{~V} /(\mathrm{ms})\), then the displacement current through the loop is (Assume \(\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}^2 / \mathrm{C}^2\) )

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.