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Coupled Circuits
ELE101/102 Dept of E&E,MIT Manipal 2
Analysis of coupled circuit
Ø1
ML1 L2v1
R1 R2
v2
i1
i2
Ø2
v1 v2i2
M
L1
-
ï‚Ÿï‚Ÿ
i1 L2
R1 R2
Equivalent circuit:
( )
( ) 21222
12111 ;
vMIjILjR
vMIjILjR
=−+
=−+
ωω
ωω
ELE101/102 Dept of E&E,MIT Manipal 3
Conductively coupled equivalent circuit
( )[ ] ( )
( ) ( )[ ] 222212
121111 ;
gRearrangin
vIMLjRIIMj
vIIMjIMLjR
=−++−
=−+−+
ωω
ωω
ELE101/102 Dept of E&E,MIT Manipal 4
Example:
10/0o
V
10Ω
5Ω
j2Ω
j3Ω j4Ω
-j2Ω
Draw the conductively coupled equivalent circuit of the magnetic
circuit shown. Hence, find the current supplied by the source.

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  • 2. ELE101/102 Dept of E&E,MIT Manipal 2 Analysis of coupled circuit Ø1 ML1 L2v1 R1 R2 v2 i1 i2 Ø2 v1 v2i2 M L1 - ï‚Ÿï‚Ÿ i1 L2 R1 R2 Equivalent circuit: ( ) ( ) 21222 12111 ; vMIjILjR vMIjILjR =−+ =−+ ωω ωω
  • 3. ELE101/102 Dept of E&E,MIT Manipal 3 Conductively coupled equivalent circuit ( )[ ] ( ) ( ) ( )[ ] 222212 121111 ; gRearrangin vIMLjRIIMj vIIMjIMLjR =−++− =−+−+ ωω ωω
  • 4. ELE101/102 Dept of E&E,MIT Manipal 4 Example: 10/0o V 10Ω 5Ω j2Ω j3Ω j4Ω -j2Ω Draw the conductively coupled equivalent circuit of the magnetic circuit shown. Hence, find the current supplied by the source.