Compute the mutual inductance, Electrical Engineering

Compute the mutual inductance:

A long single layer solenoid has an effective diameter of 10 cm and it is wound with 1000 turns/m. There is a small concentrated coil with its plane lying in the centre cross-sectional plane of the solenoid. Compute the mutual inductance among two coils if the concentrated coil has 100 turns and an effective diameter of 4 cm.

Solution

Figure  is illustrated as follows :

2209_Compute the mutual inductance.png

Figure

Let current I1 is flowing through the solenoid. Then the flux density B is given by  

= μ 1000 I(wb/ m2)

So the flux linked with concentrated coil:

φ2  = BA2

The cross-sectional area of concentrated coil is following:

A2 = π r 2   =π (4 × 10-2 /2)2

= 12.568 × 10- 4 m2

∴          Flux φ2 = μ0 1.256 I1 wb

Mutual inductance between coil and solenoid

M = N2 φ2 / I1

= 100 × μ0 × 1.256 I1  / I1= 125.6 μo  Henry

Posted Date: 2/4/2013 4:52:53 AM | Location : United States







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