Explain the motion of a charged conductor, when it enters a uniform magnetic field...
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Answer:
Step-by-step explanation:
If the particle moves parallel to the field
So by Lorentz force formula the cross product between v and B will be zero and hence no force so no acceleration and as a result momentum will be conserved . The kinetic energy will also remain constant .
If the particle moves perpendicular to the field
So there will be a Lorentz force acting and hence the particle will undergo uniform circular motion , the particle will accelerate and the momentum will also change not in magnitude but in direction . The kinetic energy will remain constant .
Now if the particle enters the field at angle then the trajectory will be a helix . the particle will accelerate along y axis but not x axis . The momentum changes along y axis but not along axis . the kinetic energy in both the direction will remain constant
Magnetic force can cause a charged particle to move in a circular or spiral path. Cosmic rays are energetic charged particles in outer space, some of which approach the Earth. They can be forced into spiral paths by the Earth’s magnetic field. Protons in giant accelerators are kept in a circular path by magnetic force. The bubble chamber photograph in [link] shows charged particles moving in such curved paths. The curved paths of charged particles in magnetic fields are the basis of a number of phenomena and can even be used analytically, such as in a mass spectrometer.
Trails of bubbles are produced by high-energy charged particles moving through the superheated liquid hydrogen in this artist’s rendition of a bubble chamber. There is a strong magnetic field perpendicular to the page that causes the curved paths of the particles. The radius of the path can be used to find the mass, charge, and energy of the particle