Questions

A uniform magnetic field $\vec{B} = 3 \hat{i} + 4 \hat{j} + \hat{k}$ 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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2i^+j^+k^

2i^-j^+k^

2i^+j^-k^

2-i^+j^+k^

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detailed solution

Correct option is B

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^

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