Questions
A conducting wire of length I and mass m is placed on two inclined rails as shown in figure. A current i is flowing in the wire in the direction shown. When no magnetic field is present in the region, the wire is just on the verge of sliding. When a vertically upward magnetic field is switched on, the wire starts moving up the incline. The distance travelled by the wire as a function of time r will be
detailed solution
Correct option is D
The front view of the arrangement is shown in figure.From initial condition, mg sinθ = μ mg cosθ⇒μ=tanθma=IBlcosθ-mgsinθ-μNN=mg cosθ+IBl sinθ⇒a=IBlmcosθ-2g sinθ-IBlmsin2θcosθ=IBlmcos 2θcos θ-2g sinθNow, s=12at2=12IBlmcos 2θcos θ-2g sinθt2Similar Questions
An elasticized conducting band r is around a spherical balloon T (figure). Its plane passes through the center of the balloon. A uniform magnetic field of magnitude 0.04 T is directed perpendicular to the plane of the band. Air is let out of the balloon at 100 cm3s-1 at an instant when the radius of the balloon is 10 cm. The induced emf in the band is
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