When would a moving charged particle travel undeviated in a uniform magnetic field?
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Newton's First Law tells us that a body continues in its state of rest or of uniform motion unless acted upon by an external force.
So a charged particle moving in a uniform magnetic field will not be affected by the magnetic field if the field does not produce any force on the charged particle.
From electrodynamics, we know that the force F acting on a charged particle of charge q, moving with a velocity v, in a magnetic field of magnetic induction B, is given by
F = q v × B.
For this force F to be zero, we need to have v ×B vanish (as q ≠ 0). This is only possible when v and B are parallel, as neither v nor B are zero.
So a charged particle moving in a uniform magnetic field is unaffected by the magnetic field when the velocity of the charged particle is parallel to the magnetic field.
So a charged particle moving in a uniform magnetic field will not be affected by the magnetic field if the field does not produce any force on the charged particle.
From electrodynamics, we know that the force F acting on a charged particle of charge q, moving with a velocity v, in a magnetic field of magnetic induction B, is given by
F = q v × B.
For this force F to be zero, we need to have v ×B vanish (as q ≠ 0). This is only possible when v and B are parallel, as neither v nor B are zero.
So a charged particle moving in a uniform magnetic field is unaffected by the magnetic field when the velocity of the charged particle is parallel to the magnetic field.
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