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Q.

At t = 0 a charge q is at the origin and moving in the y-direction with velocity $\vec{v} = v \hat{j} .$ The charge moves in a magnetic field that is for y > 0 out of page and given by $B_{1} \hat{z}$ and for y < 0 into the page and given $- B_{2} \hat{z} .$ The charge's subsequent trajectory is shown in the sketch. From this information, we can deduce that

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a

$q > 0 a n d | B_{1} | < | B_{2} |$

b

$q < 0 a n d | B_{1} | < | B_{2} |$

c

$q > 0 a n d | B_{1} | > | B_{2} |$

d

$q < 0 a n d | B_{1} | > | B_{2} |$

answer is A.

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Detailed Solution

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$R = \frac{m v}{B q} \Rightarrow R \propto \frac{1}{B}$

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At t = 0 a charge q is at the origin and moving in the y-direction with velocity v→ =v j^. The charge moves in a magnetic field that is for y > 0 out of page and given by B1 z^ and for y < 0 into the page and given − B2 z^. The charge's subsequent trajectory is shown in the sketch. From this information, we can deduce that