How to solve the problem?

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1 Answer
Junaid Mirza
Mar 23, 2018

"4 Henry"4 Henry

Explanation:

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

"N"phi ∝ iNϕ∝i

"N"phi = "L"iNϕ=Li

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"

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