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A coil of negligible self-inductance and a radius of $0.50m$ encloses a magnetic field that is perpendicular to it and changing at a rate of 3.0 T/s.

What is the $emf$ of the coil?

$0.5 \pi V$

$0 .75 \pi V $

$ \pi V $

$1.5 \pi V$

$2.0 \pi V$