1. ECE 201 Circuit Theory 11 The Concept of Mutual Inductance

2. ECE 201 Circuit Theory 12 Magnetically -- Coupled Coils Non – Magnetic Core

3. ECE 201 Circuit Theory 13 Magnetically-Coupled Coils Number of turns on each coil are N 1 and N 2 Coil 1 energized by a time-varying current source (Primary) Coil 2 in not energized and has open circuited terminals (Secondary) Polarity of voltage v 2 is assigned by the dot convention

4. ECE 201 Circuit Theory 14 Flux Components Flux produced by i 1 has 2 components, Φ 11 (links only N 1 turns) and Φ 21 (links the N 2 turns and the N 1 turns). Φ c,i coil current

5. ECE 201 Circuit Theory 15

6. 6 Total flux linking coil 1

7. ECE 201 Circuit Theory 17 Use Faraday’s Law to find voltages

8. ECE 201 Circuit Theory 18 Excite coil 2 and leave coil 1 open

9. ECE 201 Circuit Theory 19 Total flux linking coil 2

10. ECE 201 Circuit Theory 110 Use Faraday’s Law to find Voltages Mutual Inductance For non-magnetic materials