Questions
A plane loop is shaped as two squares (figure) and placed in a uniform magnetic field at right angle to the loop's plane. The magnetic induction varies with time as , where . The wires do not touch at point A. If resistance per unit length of the loop is , then amplitude of current induced in the loop is
detailed solution
Correct option is C
Induced emf's in the two loops will oppose each other. So net induced emf:e=ddtb2-a2B=b2-a2dBdt=0.202-0.102ωB0 cos ωt=0.04-0.01×100×10×10-3 cos ωt=30×10-3 cos ωtResistance: R=50×10-34×0.20+4×0.10=60×10-3ΩI=eR=0.5 cos ωtSo amplitude of current = 0.5 ASimilar 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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