Get the equivalent inductance at terminal in circuit, Electrical Engineering

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Get the equivalent inductance at terminal in circuit:

Acquire the equivalent inductance at terminal AB in circuit shown in Figure.

Solution

Inductances also follow the same rule as the resistances for series, parallel and star- delta connections. Primary we convert the star connection a b c n to corresponding delta connection.

For delta connection,

Lab = Lan Lbn + Lbn Lcn + Lcn Lan / Lcn

= 1 + 1 + 1 /1 = 3H

Likewise, Lbc = 3 H and Lac = 3 H

So, the circuit of Figure is redrawn as illustrated in Figures (a) and (b).

L eq       = 3/2 H is in parallel with 3 Henry.

 So,

Leq  = 1.5 × 3 /1.5 + 3 = 1 Henry


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