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(C) The magnetic field $B$ due to a long straight wire at a distance $r$ is given by $B = \frac{\mu_0 I}{2\pi r}$.For two wires separated by distance

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$\frac{2\mu_0 I}{\pi R}$

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(C) The magnetic field $B$ due to a long straight wire at a distance $r$ is given by $B = \frac{\mu_0 I}{2\pi r}$.For two wires separated by distance $R$,the distance of the midpoint from each wire is $r = R/2$.Using the right-hand rule,the magnetic field produced by both wires at the midpoint points in the same direction (into the plane of the paper).Therefore,the total magnetic field is the sum of the fields from both wires:$B_{total} = B_1 + B_2 = \frac{\mu_0 I}{2\pi (R/2)} + \frac{\mu_0 I}{2\pi (R/2)}$$B_{total} = \frac{\mu_0 I}{\pi R} + \frac{\mu_0 I}{\pi R} = \frac{2\mu_0 I}{\pi R}$.

Two long straight wires,each carrying a current $I$ in opposite directions,are separated by a distance $R$. The magnetic induction at a point midway between the wires is

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