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  4. In the circuit shown (figure), the cell is ideal. The coil has an inductance of 4 H and zero resistance. F is a fuse of zero resistance and will blow when the current through it reaches 5 A. The switch is closed at t=0. The fuse will blow

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Q. In the circuit shown (figure), the cell is ideal. The coil has an inductance of $4\, H$ and zero resistance. $F$ is a fuse of zero resistance and will blow when the current through it reaches $5\, A$. The switch is closed at $t=0$. The fuse will blowPhysics Question Image

Electromagnetic Induction

Solution:

$E=L \frac{d I}{d t}$ or $d I=\frac{E}{L} d t$
or $I=\frac{2}{4} t=0.5\, t$
$\Rightarrow t=2 I=2 \times 5=10\, s$