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Question: The coefficient of self inductance of a solenoid is 0.18 mH. If a crode of soft iron of relative per...

The coefficient of self inductance of a solenoid is 0.18 mH. If a crode of soft iron of relative permeability 900 is inserted, then the coefficient of self inductance will become nearly

A

5.4 Mh

B

162 Mh

C

0.006 mh

D

0.0002 Mh

Answer

162 Mh

Explanation

Solution

We know for air cored solenoid L=μ0N2AlL = \frac { \mu _ { 0 } N ^ { 2 } A } { l }

In case of soft of iron core it’s self inductance

L=μrLL ^ { \prime } = \mu _ { r } L. So here L′ = 900 × 0.18 = 162 mH

Note : The self-inductance of a solenoid may be increased by inserting a soft iron core. The function of the core is to improve the flux linkage between the turns of the coil.