Step 1: Understanding electromagnetic induction.
For electromagnetic induction to occur, the magnetic flux through the second coil must change. In this case, the coils are placed mutually perpendicular to each other, so when current in one coil changes, the flux through the second coil does not change. Therefore, no current will be induced in the second coil.
Step 2: Conclusion.
Thus, no current will be induced in another coil, corresponding to option (A).