Questions
A line charge , per unit length is pasted uniformly on to the rim of a wheel of mass m and radius R. The wheel has light non-conducting spokes and is free to rotate about a vertical axis as shown in figure. A uniform magnetic field extends over a radial region of radius r given by (otherwise). What is the angular velocity of the wheel when this field is suddenly switched off?
detailed solution
Correct option is D
Induced electric field (in clockwise sense):E=a22RdBdtI ω=∫τ dt⇒mR2ω=∫qERdt=∫qa22RdBdtRdt=λ2πR2Ra2R∫dB⇒ω=B0πa2λmR⇒ω→=-B0πa2λmRk∧(because clockwise sense)Similar 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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