31_Chapter 19 HomeworkCH19 Magnetism

# 31_Chapter 19 HomeworkCH19 Magnetism - Magnetism 171 Thus...

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Magnetism 171 Thus, the downward magnetic force acting on the wire is ( ) ( ) ( ) ( ) 2 3 2 19.6 N m 0.80 10 m 10.0 10 kg 9.80 m s 5.9 10 N m total F kx mg = = × × = × sin90 m 2 Since the magnetic force is given by F BIL = ° , the magnetic field is ( ) ( ) ( ) ( ) ( ) 2 2 12 5.9 10 N 0.59 T 24 V 5.0 10 m m m F F B IL V R L × = = = = × 19.67 Each 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 cm 750 0.100 cm solenoid wire L N d = = = The length of wire required to make this number of turns on the solenoid is ( ) ( ) ( ) 2 750 10.0 10 m 75.0 m solenoid id N d π π = = = × N circumference of soleno l π = and this copper wire has a resistance of ( ) ( ) ( ) 8 Cu Cu 2 2 2 4 75.0
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