To strengthen the magnetic field around a current-carrying wire, you can wrap the wire into coils. This technique creates a solenoid effect, where the magnetic field intensifies due to the cumulative effect of the current flowing in multiple closely spaced turns of the wire.
Wadding up the wire into a ball does not significantly enhance the magnetic field; in fact, it may reduce the coherence of the magnetic field lines.
Therefore, wrapping the wire into coils is the correct method to strengthen the magnetic field.
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