A) \[0,\,\sqrt{3}aBI,\sqrt{3}aBI\]
B) \[0,\,\frac{\sqrt{3}aBI}{2},\frac{\sqrt{3}aBI}{2}\]
C) \[0,\,0,\,\sqrt{3}aBI\]
D) \[0,\,0,\,0\]
E) \[0,\,0,\,0,\sqrt{2}aBI\]
Correct Answer: B
Solution :
Situation can be diagrammed as shown below The force on wire AB is \[{{F}_{1}}=I\,AB\times B=0\] \[(\because \,AB||B)\] The force on wire BC \[{{F}_{2}}=I\,BC\times B\] \[|{{F}_{2}}|=I\,aB\sin 120{}^\circ \] \[=\frac{\sqrt{3}}{2}IaB\] Also force on wire AC is \[{{F}_{3}}=\frac{\sqrt{3}}{2}IaB\]You need to login to perform this action.
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