Questions
A flexible wire loop in the shape of a circle has a radius that grows linearly with time. There is a magnetic field perpendicular to the plane of the loop that has a magnitude inversely proportional to the distance from the center of the loop,. How does the emf E vary with time?
detailed solution
Correct option is D
Let radius of the loop is r at any time t and in further time dt, radius increases by dr.Then change in flux: dϕ=2πrdrB⇒e=dϕdt=2πr(drdt)kr⇒e=2πck(constant) [drdt=c,B=kr]Then change in flux: dϕ=2πrdrBSimilar 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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