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A charged particle q is moving in the pr...

A charged particle q is moving in the presence of a magnetic field B which is inclined to an angle 30° with the direction of the motion of the particle. Draw the trajectory followed by the particle in the presence of the field and explain how the particle describes this path.

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To solve the problem of a charged particle \( q \) moving in a magnetic field \( B \) that is inclined at an angle of \( 30^\circ \) to the direction of the particle's motion, we can follow these steps: ### Step 1: Understanding the Forces Acting on the Particle The force acting on a charged particle moving in a magnetic field is given by the Lorentz force equation: \[ \mathbf{F} = q(\mathbf{v} \times \mathbf{B}) \] where \( \mathbf{v} \) is the velocity of the particle and \( \mathbf{B} \) is the magnetic field. The angle \( \theta \) between the velocity and the magnetic field affects the magnitude of the force. ...
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