Question

Three magnetically coupled inductive coils having the following data are connected in series as shown in Figure. L1 = 0.12 H; L2 = 0.14 H; L3 = 0.16 H k12 = 0.3; k23 = 0.6; k31 = 0.9 Find the equivalent inductance of the circuit.​

Answer 1

Answer:

L1, L2 and L3 connected in series,

$0.12 + 0.14 + 0.16 = 0.42 H$

Mutual Inductance

$m1 \: = \: 0.0388844442 \: H$

$m3 \: = \: 0.1247076581 \: H$

$m2 \: = 0.0897997773 \: H$

Equivalent Mutual Inductance

$m \: eq = 0.2533918796 \: henry$

For all the adding mutual Inductance

For all the adding mutual InductanceLeq,

$0.42 + 0.25339 = 0.6733918796 \: henry$

For all the opposing mutual Inductance

For all the opposing mutual InductanceLeq,

$0.42−0.25339 = 0.1666081204 \: henry$