In the Figure, a Rectangular Current Loop Is Carrying Current $I _ { 1 } = 7.0 \mathrm {~A}$

question 78

Short Answer

In the figure, a rectangular current loop is carrying current $I _ { 1 } = 7.0 \mathrm {~A}$ , in the direction indicated, near a long wire carrying a current $I _ { \mathbf { W } }$ . The long wire is parallel to the sides of the rectangle. The rectangle loop has length $0.80 \mathrm {~m}$ and its sides are $0.10 \mathrm {~m}$ and $0.70 \mathrm {~m}$ from the wire. If the net force on the loop is to have magnitude $1.7 \times 10 ^ { - 6 } \mathrm {~N}$ and is to be directed towards the wire, what must be the magnitude and direction (from top to bottom or from bottom to top in the sketch) of the current $I _ { W }$ in the wire? $\left( \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \right.$ . $\mathrm { m } / \mathrm { A } )$

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