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Two straight segments of wire ab and bc each carrying current i, are placed as shown in figure. The cube edge is 50 cm and magnetic field is uniform along Y-axis having magnitude 0.4 T. If i = 3 A, the force experienced by wire abc in the presence of magnetic field is

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a

0.6i^

b

1.2(i^+k^)

c

0.6(2i^+j^-2k^)

d

0.6(2i^-k^)

answer is A.

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Detailed Solution

Wire abc can be replaced by a straight wire ac for the computation of force.Length of ac→ can be written as,l→=r→C-r→A=[(i^+j^)-(i^+k^)]50×10-2=0.50[j^-k^] Required force, F→=I(l→×B→)=0.6i^

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