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  4. A charge q moves with a velocity 2 m s-1 along x-axis in a uniform magnetic field vecB =( hati + 2 hatj + 3 hatk) T then charge will experience a force

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Q. A charge q moves with a velocity $2 \, m \, s^{-1}$ along $x$-axis in a uniform magnetic field $\vec{B} =\left( \hat{i} + 2 \hat{j} + 3 \hat{k}\right)\,T$ then charge will experience a force

JIPMERJIPMER 2012Moving Charges and Magnetism

Solution:

$\vec{F} = q(\vec{v} \times \vec{B})$
$q[(2 \, \hat{i} \times (\hat{i} + 2 \, \hat{j} + 3 \, \hat{k})] = (4q) \hat{k} - (6q) \hat{j}$