To increase the induced current in mutual induction without raising the electromotive force (EMF), lowering the resistance of the conductor is suggested, as per Ohm's Law (V=IR). Reducing the number of turns in the coupled circuit can also lead to a higher current since a decrease in EMF results in an increase in current. Additionally, increasing the number of coils in a solenoid or toroid can enhance the magnetic field interaction, potentially boosting the induced current. The discussion emphasizes the balance between EMF and current in the context of mutual induction. Overall, various methods can be employed to manipulate induced current effectively.