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If the current in each wire is the same, which wire produces the strongest magnetic field?
a wire that is 1 mm thick and not coiled
a wire that is 2 mm thick and not coiled
a 1-mm-thick coiled wire with ten loops
a 2-mm-thick coiled wire with two loops
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The 1-mm-thick coiled wire with ten loops.
Reason: for the same current, a coil's magnetic field at its center is proportional to the number of turns N (each loop's field adds). Wire thickness (for a given total current) does not increase the external magnetic field — the field outside a steady current is set by the total current, not the conductor diameter. So 10 loops gives the largest field.
Reason: for the same current, a coil's magnetic field at its center is proportional to the number of turns N (each loop's field adds). Wire thickness (for a given total current) does not increase the external magnetic field — the field outside a steady current is set by the total current, not the conductor diameter. So 10 loops gives the largest field.
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