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A wire along x-axis carries a current $3.5 A .$ Find the force on a $1 c m$ section of the wire exerted by: $B = 0.74 T \hat{j} - 0.3 T \hat{k}$

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$(2.59 \hat{k} + 1.26 \hat{j)} \times 10^{- 2}$

$(1.26 \hat{k} - 2.59 \hat{j)} \times 10^{- 2}$

$(- 2.59 \hat{k} - 1.26 \hat{j)} \times 10^{- 2}$

$(- 1.26 \hat{k} + 2.59 \hat{j)} \times 10^{- 2}$

answer is A.

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Detailed Solution

$F = I (\vec{l} \times \vec{B})$
$= 3.5 [10^{- 2} \hat{i} \times (. 74 \hat{j} - 0.36 \hat{k})]$

$= (2.59 \hat{k} + 1.26 \hat{j}) \times 10^{- 2}$

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