1.

Magnetic field in a region is given by B=B_0+hatk. Two loops each of side a is placed in the magnetic region in the xy-plane with one of its sides on x-axis. If F_1 is the force on loop 1 and dF_2 be the force on loop 2, then

Answer»

`F_1=F_2=0`
`F_1gtF_2`
`F_2gtF_1`
`F_1=F_2=0`

SOLUTION :Force on the WIRES paralle to x-axis will be obtained by integration (as Bprox and xcoordinates vary along these wires). But on a loop there are two such wires. Force of them wil be equal and OPPOSITE.
Forces on two wires parallel to y-axis can be obtaine ddirectly (without integration) as value of `B` is same along these wires. But theri values will be different (as x-coordinate and therefore `B` is diferent).
`F_(NET)=/_\F` (on two wires)
`=Ia(/_\B)=Ia(B_0)(/_\x)`
`=IaB_0(a)=IB_0a^2`
this is indecent of x
`:. F_1=F_2=IBla^2=0`


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