Determine the equivalent inductance, Electrical Engineering

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Determine the equivalent inductance:

Two coils of inductances 4H and 6H are connected in parallel. If their mutual inductance is 3 H, determine the equivalent inductance of the combination if (i) mutual inductance assists the self-inductance, and (ii) mutual inductance opposes the self-inductance.

Solution

L1 = 4 H           L2 = 6 H           M = 3 H

L (di/dt ) =   (L1 L2  - M2 )/ (L1 + L2  + 2M) di/dt    =   4 × 6 - 32 /4 + 6 - 2 × 3= 3.75 H

L =   (L1 L2 - M2)/ (L1 + L2 +2M)  = 4 × 6 - 32 /4 + 6 + 2 × 3 = 0.9375 H


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