1.

A uniform magnetic field of `3000G` is established along the positive z-direction. A rectangular loop of sides `10cm` and `5cm` carries a current `12A`. What is the torque on the loop in the different cases shown in the figure. What is the force on each case? Which case corresponds to stable equilibrium?

Answer» Correct Answer - (a) `1*8xx10^-2Nm` (b) Angle between area vector `vecA` and `vecB` is `0^@` or `180^@` (c) Loop will be in stable equilibrium if area vector `vecA` is parallel to magnetic field `vecB` and in unstable equilibrium when `vecA` is antiparallel to `vecB`
Here, `B=3000G=0*3T`, `I=12A`
`A=10xx5=50cm^2=50xx10^-4m^2`.
(a) `tau_(max.)=IAB sin 90^@=12xx(50xx10^-4)xx0*3`
`=1*8xx10^-2Nm`
(b) Torque is zero when `sin theta=0` i.e. `theta=0^@` or `180^@`
(c) Loop will be in stable equilibrium if `vecA` is parallel to `vecB` and in unstable equilibrium if `vecA` is antiparallel to `vecB`.


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