The flux linked with a coil at any instant ' $t$ ' is given by $\phi=10 t^2-50 t+250$ The induced emf at…

The flux linked with a coil at any instant ' $t$ ' is given by $\phi=10 t^2-50 t+250$ The induced emf at $t=3 \mathrm{~s}$ is
  1. $190 \mathrm{~V}$
  2. $-190 \mathrm{~V}$
  3. $-10 \mathrm{~V}$
  4. $10 \mathrm{~V}$

Solution

$e=-\frac{d \phi}{d t}=-(20 t-50)=-10$ volt

Asked in: JEE Main 2006

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