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When a charged particle moving with a ve...

When a charged particle moving with a velocity `vecv` is subjected to a magnetic field `vecB`, the force acting on it is non zero. Would the particle gain any energy?

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To determine whether a charged particle gains energy when moving in a magnetic field, we can analyze the situation step by step. ### Step 1: Understanding the Force on a Charged Particle When a charged particle with charge \( q \) moves with a velocity \( \vec{v} \) in a magnetic field \( \vec{B} \), it experiences a magnetic force given by the Lorentz force equation: \[ \vec{F} = q (\vec{v} \times \vec{B}) \] This force is the cross product of the velocity vector and the magnetic field vector. ...
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