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Two loops, one rectangular of dimensions...

Two loops, one rectangular of dimensions 10 cm `xx` 2.5 cm and second of square shape of side 5 cm are moved out of a uniform magnetic field `vecB` perpendicular to the planes of the loops with equal velocity v as is shown in the figure.

In which case will the emf induced be more?

Text Solution

Verified by Experts

When the loop is completely inside the magnetic field, there is no change in the magnetic flux.
`therefore |e|=0`
When the loop is moving out of the field,
`phi=BA=Blx`
`therefore |e|=(dphi)/(dt)=Bl(dx)/(dt)-Blv`
So, `|e_("rec")|=(Bxx2.5xxv)V`
`|e_(sq)|=(Bxx5xxv)V`
When the loop moves out of the field, |e| = 0
Hence, the emf induced in the square loop is more.
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