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Q.

A particle is moving with velocity $\vec{v} = \hat{i} + 3 \hat{j}$ and it produces an electric field at point given by $\vec{E} = 2 \hat{k} .$ It will produce magnetic field at that point equal to ( in proper units)

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a

$\frac{6 \hat{i} - 2 \hat{j}}{c^{2}}$

b

$\frac{6 \hat{i} + 2 \hat{j}}{c^{2}}$

c

cannot be determined from the given data

d

Zero

answer is A.

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Detailed Solution

$\bar{B} = \frac{1}{c^{2}} (\bar{V} \times \bar{E}) = \frac{6 \hat{i} - 2 \hat{j}}{c^{2}}$
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