If a conductor carrying current is formed into a coil, the magnetic field around the wire will

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Winding a conductor into a coil creates many loops carrying the same current, and the magnetic fields from each loop add together. The total field scales with the number of turns times the current (ampere-turns), so with more turns the overall magnetic field becomes stronger. In an air-core coil, this means the field inside the coil is noticeably stronger than around a single straight wire carrying the same current.