Question

How to solve the problem?

Answer 1

`"4 Henry"`

Explanation:

The magnetic flux `(phi)` passing through `"N"` turns of the coil is proportional to the current `(i)` in the coil.

`"N"phi ∝ i`

`"N"phi = "L"i`

The proportionality constant L is called self inductance

Differentiate both the sides

`"N"(d(phi))/dt = "L"(d(i))/dt color(white)(..)[∵ "L & N are constant"]`

`"L" = ("N"(d(phi))/dt)/((d(i))/dt) = (500 × (2 × 10^-2\ "Weber")/("2 s"))/("2.5 A"/"2 s") = "4 H"`