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Current passing through a coil varies with time t as $i = 2 t^{2}$ . At 1 second total flux passing through the coil is 10 weber. Then

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Self-inductance of the coil is 10 H

Self- inductance of the coil is 5 H

Induced emf across the coil at 1 second is 20 V

Induced emf across the coil at 1 second is 10 V

answer is C, B.

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Detailed Solution

$i = 2 t^{2}, \frac{d i}{d t} = 4 t$

At 1 second, $i = 2 A$ and $\frac{d i}{d t} = 4 A / s$

$L = \frac{N ϕ}{i} = \frac{10}{2} = 5 H$

$V_{L} = L . \frac{d i}{d t} = 5 \times 4 = 20 V$

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