Question

when a charged particle moving with velocity v is subjected to magnetic field B, the force acting on it is non zero. would the particle gain any energy

Answer 1

no, the particle wouldn't gain any energy when it is subjected to magnetic field.

because magnetic field doesn't work to increase or decrease the magnitude of velocity of particle. it just deviates the direction of velocity.

for instance, if the particle enters in magnetic field such that velocity of particle is perpendicular to magnetic field. then particle starts to move in circle of radius r = mv/qB , but if speed of particle remains same. so, the energy (i.e., kinetic energy) remains same .

consequently, we understand the fact , particle would not gain any energy if it is subjected to magnetic field no matter force acting on it is non - zero.

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Answer 2

$\huge\bold\purple{Answer:-}$

because magnetic field doesn't work to increase or decrease the magnitude of velocity of particle. it just deviates the direction of velocity.

for instance, if the particle enters in magnetic field such that velocity of particle is perpendicular to magnetic field. then particle starts to move in circle of radius r = mv/qB , but if speed of particle remains same. so, the energy (i.e., kinetic energy) remains same .

consequently, we understand the fact , particle would not gain any energy if it is subjected to magnetic field no matter force acting on it is non - zero.