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Q.

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^)

answer is B.

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Detailed Solution

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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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