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Q.

$A B$ and $C D$ are long straight conductors, distance $d$ apart, carrying a current $I$ . The magnetic field at the midpoint of $B C$ is

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a

$\frac{- μ_{0} I}{π d} k^{^}$

b

$\frac{- μ_{0} I}{8 π d} k^{^}$

c

$\frac{- μ_{0} I}{2 π d} k^{^}$

d

$\frac{- μ_{0} I}{4 π d} k^{^}$

answer is B.

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Detailed Solution

$\vec{B} = 2 (\frac{μ_{0}}{4 π} . \frac{I}{\frac{d}{2}}) (- k^{^}) = \frac{- μ_{0} I}{π d} k^{^}$

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AB and CD are long straight conductors, distance d apart, carrying a current I. The magnetic field at the midpoint of BC is