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A triangular system of mass 100 gm consi...

A triangular system of mass 100 gm consisting of 3 wires of length, as shown in Fig and length of AO as 4 units, are placed in the magnetic field of 1T. The current of 1 A flows through wire AO. The wires are of same material and cross-sectional area. In which direction will the system move?

A

At `tan^(-1)(3//4)`with (-x) axis.

B

along x-axis

C

along y-axis

D

along (-x) axis

Text Solution

Verified by Experts

The correct Answer is:
B
the force will act as shown in fig.
magnitude of `(F_2) and (F_3)` will be same
`(F_2) = (F_3)=ILB = 0.5 xx 5xx 1`
`=2.5 N (I_(2)=I_(3)=0.5A)`
Resulant of `(F_2)and (F_3)`
`=sqrt(F_(2)^(2)+F_(3)^(2))=2.5 sqrt(2)= 3.5N`

along negative x-axis
`(F_1) 1xx4xx1=4N` along ositive x-axis
Net resultant force `=4-3.5=0.5N along positive x-axis.
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