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A uniform fieldB=3i^+4j^+k^ exists in region of space. A semicircular wire of radius 1 m carrying current 1A having its centre at (2, 2, 0) is placed in x-y plane as shown in figure. The force on semi circular wire will be

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a
2(i^+j^+k^)
b
2(i^-j^+k^)
c
2(i^+j^-k^)
d
2(-i^+j^+k^)

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detailed solution

Correct option is B

l→=AC→=2Rcos45°i^+sin45°j^=2(i^+j^)F→=Il→×B→=1×2(i^+j^)×(3i^+4j^+k^) =2[i^-j^+k^]


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