Magnetics 1 Question 8

8. A magnetic field $\mathbf{B}=B _0 \hat{\mathbf{j}}$ exists in the region $a<x<2 a$ and $\mathbf{B}=-B _0 \hat{\mathbf{j}}$, in the region $2 a<x<3 a$, where $B _0$ is a positive constant. A positive point charge moving with a velocity $\mathbf{v}=v _0 \hat{\mathbf{i}}$, where $v _0$ is a positive constant, enters the magnetic field at $x=a$. The trajectory of the charge in this region can be like

(2007, 3M)

(a)

(b)

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Answer:

Correct Answer: 8. (a)

Solution:

  1. $\mathbf{F} _m=q(\mathbf{v} \times \mathbf{B})$


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