Magnetism171Thus, the downward magnetic force acting on the wire is ()( )23219.6 N m0.8010m10.010kg9.80 m s5.910NmtotalFkx mg−−−=−=×−×sin90m2Since the magnetic force is given by FBIL=°, the magnetic field is ( )( )2212 5.910N0.59 T24 V5.010mmmFFBILV R L−−Ω×====∆×19.67Each turn of wire occupies a length of the solenoid equal to the diameter of the wire. Thus, the number of turns on the solenoid is 75.0 cm7500.100 cmsolenoidwireLNd=The length of wire required to make this number of turns on the solenoid is ( ) ( ) ( )275010.010m75.0msolenoididNdππ−=×N circumference of solenolπ=and this copper wire has a resistance of ( )8CuCu22
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