A charged particle q is moving in the ...

CBSE Class 12 Physics 2019 Delhi Set 3 Paper

Question : 4 of 8

Marks: +1, -0

A charged particle

q

is moving in the presence of a magnetic field

B

which is inclined to an angle

30^{\circ}

with the direction of 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.

Solution:

Since magnetic force is given as,

\overset{\rightarrow}{F}=q\left(\overset{\rightarrow}{v}\times \overset{\rightarrow}{B}\right)

\text{ or } F = q v B \sin \theta

\text{ here, } \theta = 30^{\circ}

F = \frac{q v B}{2}

Velocity component parallel to the field moves particle in straight line and velocity component perpendicular to the field creates circular motion thus the combined effect is the helical path.

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