\(A\) power transmission line feeds input power at \(2\).\(3\) \(\mathrm{kV}\) to a step down transformer with its primary winding having \(3000\) turns. The output power is delivered at \(230 \mathrm{~V}\) by the transformer. The current in the primary of the transformer is \(5 \mathrm{~A}\) and its efficiency is \(90 \%\). The winding of transformer is made of copper. The output current of transformer is _______ \(A.\)

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.