Radius of the Circle
Difficulty: Easy · Topics: Magnetic Force, Circular Motion, Charged Particles
Aylananing radiusi
As shown, a particle of mass m and charge q enters a uniform magnetic field B perpendicular to the field with velocity v and moves in a circle. What is the radius of the circle?
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Rasmda ko‘rsatilganidek, m massali va q zaryadli zarra B bir jinsli magnit maydonga maydonga perpendikulyar ravishda v tezlik bilan kiradi va aylana bo‘ylab harakatlanadi. Aylananing radiusi nimaga teng?
physics "view":[-0.2,-0.3,4.6,4.3],"alt":"A charged particle moving in a circle inside a uniform magnetic field B pointing into the page.","items":["type":"field","from":[0.4,0.3],"to":[4.0,3.9],"step":0.9,"colour":"ink","type":"ellipse","at":[2.2,2.1],"rx":"=r","ry":"=r","width":1.8,"type":"ball","at":["=px","=py"],"r":0.17,"type":"arrow","from":["=px + 0.1","=py + 0.15"],"to":["=px + 0.1 + 0.4 v","=py + 0.15 + 0.6 v"],"colour":"velocity","width":1.6,"head":8,"label":"v","anchor":"e","labelAt":["=px + 0.65","=py + 0.7"],"type":"label","at":["=px - 0.15","=py + 0.25"],"text":"m","anchor":"e","size":13,"math":true,"type":"label","at":["=px + 0.25","=py - 0.35"],"text":"q","anchor":"c","size":13,"math":true,"type":"label","at":[3.6,3.75],"text":"B","anchor":"c","size":15,"math":true,"bold":true],"scale":1.2,"params":["id":"v","label":"v","min":0.4,"max":2.0,"step":0.05,"value":1,"unit":"×","hideValue":true,"id":"B","label":"B","min":0.5,"max":2.0,"step":0.05,"value":1,"unit":"×","hideValue":true],"let":"r":"min(1.75, 1.2 v/B)","cx":"2.2","cy":"2.1","px":"cx + r cosd(-45)","py":"cy + r sind(-45)"