To strengthen the magnetic field around a current-carrying wire, you should wrap the wire into coils. This method increases the number of turns of wire, which enhances the magnetic field produced by the current flowing through it. Coiling the wire allows the magnetic fields generated by each loop of wire to add together, creating a stronger overall field.
Wadding up the wire into a ball does not effectively enhance the magnetic field. In fact, it would create a more disordered arrangement of the magnetic fields, which could reduce the overall strength of the magnetic field compared to the method of coiling.
So, the best option to strengthen the magnetic field is to wrap the wire into coils.
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