Controlling intensities of an 12v electromagnet using PWM signals

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hi everyone!

i'm new electronics stuff  :smiley-cry: & pls pardon me stupid questions.

here i'm going do:
 i  want suspend magnet+weight(variable(0-250g)) in midair using electromagnet.
 for sensing position of hanging object, i'm using 2 ratiometric hall effect sensors above & below electromagnet.
 if object near to  electromagnet(by signals of sensors), need control intensity of electromagnet pwm signals move down & in same way if object hanging moving away electromagnet because of increase in weight need pull specified position.

 the gap between electromagnet & object(with permanant magnet) should 1.5 -2 cm.

please me in:

1) how many no. of turns in electromagnet & thickness of magnet wire should choose wound around soft ferrite rod 250g weight suspended in midair. permanent magnet i'm using object n52 neodymium magnet.
 2)can directly connect electromagnet pwm pin? arduino blowup load inductive?
 3) how can vary intensities of electromagnet according values hall sensor? arduino output 5v, here electromagnet takes 12v. need circuit this.
i want valves & schematic diagrams above. need them start project.


 
please me in project :smiley-confuse: . appreciated.
thanks in advance

what trying possible maybe not way try aproach it. pm me , i'll send text on magnetism. essential comprehend before attempting trying trying do.

for questions:
  • that depends on dimensions of magnetic circuit. read text , know more.
  • in order vary flux , flux density have vary current. current higher arduino pins can handle. need kind of current controller, possibly built in hardware feedback
  • what trying difficult. force exerted in magnetic circuit dependent on flux denisity. when force strong enough lift magnet/weight reluctance of magnetic circuit lessen. increase flux density , thereby force making hard balance force against gravity. guess have regulate against both absolute value , derivative of flux density


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