A wire is bent as a parabolic curve and kept in the \( x y \)-plane...

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A wire is bent as a parabolic curve and kept in the \( x y \)-plane. The curve can be described by the equation \( x^{2}=6 y \). The wire carries a current \( i=2 \mathrm{~A} \). If a uniform magnetic field \( \mathbf{B}=2 \times 10^{-3} \hat{\mathbf{k}} \) tesla is applied, force experienced by the wire is nearly
\( \mathrm{P} \)
W
(a) \( 1.5 \hat{\mathbf{j}} \mathrm{N} \)
(b) \( -1.5 \hat{\mathbf{j}} \mathrm{N} \)
(c) \( -0.05 \hat{\mathbf{j}} \mathrm{N} \)
(d) \( 2.5 \hat{\mathbf{j} ~ N} \)
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