A triangular system of mass 100 g consisting of 3 wires of lengths, as shown in figure and length of AO as 4 units, are placed in the magnetic field of 1T. The current of 1A flows through wire AO. The wires are of same material and cross-sectional area.What will be force with which system moves? (Use 2=1.4 )
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a
3.05 N
b
4.0N
c
0.5N
d
1.0N
answer is C.
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Detailed Solution
Along negative x-axis F2=F3=ILB=0.5×5×1 =2.5 NI2=I3=0.5 A Resultant of F2 and F, =F22+F32=2.52≅3.5 N F1=1×4×1=4 N along positive x-axis F=1×4×1=4 N along positive x-axis Net force =4-3.5=0.5N along positive X axis