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  4. A coil of resistance 100 Ω is placed in a magnetic field. If the magnetic flux φ linked with the coil varies with time t as φ=3 t2+2 t+4 The current in the coil at t=3 s is

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Q. A coil of resistance $100\, \Omega$ is placed in a magnetic field. If the magnetic flux $\phi$ linked with the coil varies with time $t$ as $\phi=3 t^{2}+2 t+4$ The current in the coil at $t=3 s$ is

Solution:

$e=\frac{d \phi}{d t}=6 t+2$
$\Rightarrow i=\frac{e}{R}=\frac{6 t+2}{100}$
$=0.2 \,A$ at $t=3 \,s$