A uniform magnetic field B→=3i^+4j^+k^ exists in region of space. A semicircular wire of radius 1 m carrying current 1 A having its centre at (2, 2, 0) is placed in x-y plane as shown in figure. The force on semicircular wire will be
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a
2i^+j^+k^
b
2i^-j^+k^
c
2i^+j^-k^
d
2-i^+j^+k^
answer is B.
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Detailed Solution
Force on semi-circular wire will be same as the force on straight wire AC.l→=AC→ =2R cos 450i^+sin450j^= 2 i^+j^F→ =Il→ × B→=1 × 2 i^+j^ × 3i^+4j^+k^=2 i^-j^+k^