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Kretanje naelektrisanih cestica u magnetnom polju
Sasa Vrhovac
Lorencova Sila
• Pretpostavljamo da
pozitivno naelektrisana
cestica uleti u homogeno
magnetno polje u
vakuumu,normalno na linije
indukcije.Na cesticu djeluje
Lorencova sila,ciji je vektor
normalan na vektore brzine
cestice I indukcije
magnetnog polja.
Prvo svojstvo kretanja
naelektrisanih cestica u
magnetnom polju
• Pretpostavljamo da se kroz homogeno
magnetno polje indukcije B propusti snop
naelektrisanih cestica razlicitih masa,jednakih
brzina
• V I jednakih naelektrisanja q,tada je kolicnik V
kroz qB konstantan,pa iz prethodne formule
slijedi da je poluprecnik putanje cestice
proporcionalan njenoj masi
Drugo svojstvo kretanja naelektrisanih cestica u
magnetnom polju
• Odnosi se na vrijeme kretanja po kruznoj putanji.Predpostavljamo da se
naelektrisana cestica krece u homogenom magnetnom polju po kruznoj
putanji poluprecnika r.
• T=2rп.Koriscenjem prethodnih formula dobija se T=2rп kroz v, r=2п kroz
v puta r.
• T=2п kroz v puta mv kroz qB odakle je period cestice
• T=2п kroz B puta m kroz q.
Ciklotron
• Prvi ciklotron konstruisao je americki
fizicar Lorens (1901-1958) 1931.
Godine.
• Duanti se dobiju presjecanjem supljeg
metalnog valjka male visine po
precniku osnove.

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Presentation3

  • 1. Kretanje naelektrisanih cestica u magnetnom polju Sasa Vrhovac
  • 2. Lorencova Sila • Pretpostavljamo da pozitivno naelektrisana cestica uleti u homogeno magnetno polje u vakuumu,normalno na linije indukcije.Na cesticu djeluje Lorencova sila,ciji je vektor normalan na vektore brzine cestice I indukcije magnetnog polja.
  • 3. Prvo svojstvo kretanja naelektrisanih cestica u magnetnom polju • Pretpostavljamo da se kroz homogeno magnetno polje indukcije B propusti snop naelektrisanih cestica razlicitih masa,jednakih brzina • V I jednakih naelektrisanja q,tada je kolicnik V kroz qB konstantan,pa iz prethodne formule slijedi da je poluprecnik putanje cestice proporcionalan njenoj masi
  • 4. Drugo svojstvo kretanja naelektrisanih cestica u magnetnom polju • Odnosi se na vrijeme kretanja po kruznoj putanji.Predpostavljamo da se naelektrisana cestica krece u homogenom magnetnom polju po kruznoj putanji poluprecnika r. • T=2rп.Koriscenjem prethodnih formula dobija se T=2rп kroz v, r=2п kroz v puta r. • T=2п kroz v puta mv kroz qB odakle je period cestice • T=2п kroz B puta m kroz q.
  • 5. Ciklotron • Prvi ciklotron konstruisao je americki fizicar Lorens (1901-1958) 1931. Godine. • Duanti se dobiju presjecanjem supljeg metalnog valjka male visine po precniku osnove.