Mutual inductance and coefficient of coupling, Electrical Engineering

Mutual inductance and coefficient of coupling:

The equivalent inductance of two series connected coil (with mutual inductance among them) is 0.8 or 0.2 Henry based on the relative directions of currents in the coil. If self inductance of one coil is 0.4 Henry then find out (a) Mutual inductance; and (b) coefficient of coupling.

Solution

For M-Positive :

Leq = L1 + L2 + 2M

0.8 = L1 + L2 + 2M        ---------------- (i)

1950_Mutual inductance and coefficient of coupling.png

Figure

For M negative

Leq = L1 + L2 - 2M

0.2  = L1 + L2 - 2M       ----------- (ii)

 From Eqs. (i) and (ii)

0.6 = 4M ⇒ M =0.6/ 4 = 0.15 Henry

But       L1 = 0.4 Henry

∴From Eq. (i)

0.8 = 0.4 + L2  + 2 × 0.15

∴          L2 = 0.1 Henry

 The coefficient of coupling

1397_Mutual inductance and coefficient of coupling1.png

Posted Date: 2/4/2013 4:57:27 AM | Location : United States







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