lecture 7 mutual.pptx
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Mutual inductance occurs when the magnetic flux produced by one coil links with another nearby coil. This induces a voltage in the second coil. Transformers use this principle, with the primary coil producing flux that links with the secondary coil. The coils have a property called mutual inductance M. Depending on whether the flux from each coil aids or opposes the other, M can either add to or subtract from the total inductance. Mutual inductance allows induction of a voltage across one coil through a changing current in the other.
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lecture 7 mutual.pptx
- 1. Lecture 7 Mutual Inductance Course MDE 124
- 2. Mutual Inductance: Transformers are constructed of two coils placed so that the charging flux developed by one will link the other. The coil to which the source is applied is called the primary coil. The coil to which the load is applied is called the secondary coil. Three basic operations of a transformer are: Step up/down Impedance matching Isolation
- 3. When two coils are placed close to each other, a changing flux in one coil will cause an induced voltage in the second coil. The coils are said to have mutual inductance M, which can either add or subtract from the total inductance depending on if the fields are aiding or opposing. Mutual inductance is the ability of one inductor to induce a voltage across a neighboring inductor
- 4. Magnetic flux produced by a single coil.
- 5. Mutual inductance M21 of coil 2 ,with respect to coil 1. Mutual inductance of M12 of coil 1 with respect to coil 2.
- 6. •Mutual inductances M12 and M21 are equal. • They are referred as M. • We refer to M as the mutual inductance between two coils. • M is measured in Henry’s. • Mutual inductance exists when two coils are close to each other. • Mutual inductance effect exist when circuits are driven by time varying sources. • Recall that inductors act like short circuits to DC. 12 21 M M M
- 7. Dot Convention: If the current ENTERS the dotted terminal of one coil, the reference polarity of the mutual voltage in the second coil is POSITIVE at the dotted terminal of the second coil .if the current LEAVES the dotted terminal of one coil, the reference polarity of the mutual voltage in the second coil is NEGATIVE at the dotted terminal of the second coil
- 9. Coils in Series a) Series-aiding connection. L=L1+L2+2M b) Series-opposing connection. L=L1+L2-2M
- 10. Time-domain and Frequency-domain Analysis a) Time-domain circuit b) Frequency-domain circuit
- 11. 1 2 1 1 1 1 2 1 2 2 2 2 1 1 1 1 2 2 1 2 2 2 TimeDomain Frequency Domain ( ) ( ) di di v i R L M dt dt di di v i R L M dt dt V R j L I j MI V j MI R j L I
- 12. Examples
Editor's Notes
- L=NႴ/I ,v=Ldi/dt
- M=𝑘√𝐿1𝐿2