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  4. Consider the situation given in figure. The wire AB is slid on the fixed rails with a constant velocity. If the wire AB is replaced by a semicircular wire, the magnitude of the induced current will

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Q. Consider the situation given in figure. The wire AB is slid on the fixed rails with a constant velocity. If the wire AB is replaced by a semicircular wire, the magnitude of the induced current willPhysics Question Image

KCETKCET 2019Electromagnetic Induction

Solution:

The induced,emf $e=l\left(\vec{V}\times\vec{B}\right)=l \left(vB \, sin \theta\right)=Bvl$
Induced current, $i=\frac{e}{R}$
If the straight wire is replaced by a semicircular wire, resistance R remains unchanged. Hence, current remains same.