How does the nubmer of turns in a wire affect the strength of the magnetic field it produces?
I assume you’re talking about a coil of wire, or a solenoid. Draw a rectangular Amperian loop where one of the sides lies on the axis of the coil (goes through its center). You can then use Ampere’s law. integral B ds = N*mu*I where B = magnetic field N = number of turns per unit length I = current In this case integral ds = s = the length of the coil, so you end up with: BL = N*mu*I or B = N*mu*I/L So if the length of the coil stays the same but the number of turns increases, the magnetic field will increase as well. For a more non-mathematical explanation…each length of wire carries a certain amount of current. More turns = more wire = more current. And when there’s more current, the magnetic field is stronger.
