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The magnetic flux linked with a coil satisfies the relation $\phi=\left(4 t^2+6 t+9\right) \mathrm{Wb}$, where $t$ is time in second. The emf induced in the coil at $t=2 \mathrm{~s}$ is
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$22 \mathrm{~V}$
Given, $\phi=\left(4 t^2+6 t+9\right) \mathrm{Wb}$ and $t=2 \mathrm{~s}$
We know that, $|\varepsilon|=\left|\frac{d \phi}{d t}\right|$
Here, $\left|\frac{d \phi}{d t}\right|=|8 t+6| \Rightarrow\left(\frac{d \phi}{d t}\right)_{t=2}=8 \times 2+6$
Induced emf in the coil $=22 \mathrm{~V}$
We know that, $|\varepsilon|=\left|\frac{d \phi}{d t}\right|$
Here, $\left|\frac{d \phi}{d t}\right|=|8 t+6| \Rightarrow\left(\frac{d \phi}{d t}\right)_{t=2}=8 \times 2+6$
Induced emf in the coil $=22 \mathrm{~V}$
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