Lecture 26

Lecture 26 - Lecture 26 Mutual Inductance and transformers...

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Unformatted text preview: Lecture 26 Mutual Inductance and transformers (how to change something’s impedance) Mutual inductance • Two coils who share magnetic fields – Current generates magnetic flux – Change in flux generates voltage – If two currents cause flux, voltages respond to both • Proportionality set by each inductance, mutual inductance, M – M depends on coupling coefficient, k • Can re-describe for sinusoidal steady state in complex form • Draw as two inductors with arrow for coupling ( 29 ( 29 1 2 2 2 2 1 1 1 1 2 1 2 2 2 2 1 1 1 2 2 1 1 2 1 1 1 , , , MI I L j V MI I L j V k k L L M dt dI M dt dI L V dt dI M dt dI L V dt d V dt d V bI aI + = + = < <- = + = + = ∴ Φ ∝ Φ ∝ + ∝ Φ ϖ ϖ + V1- + V2- I 1 I 2 k + V1- L1 L2 I 1 + V2- I 2 Impedance transformation: k + V1- L1 L2 I 1 + V2- I 2 Zo Z1 ( 29 ( 29 ( 29 ( 29 +- + = +-- = +- = +- = ∴- = + = + = Zo L j k L j Zo L j Z Zo L j M L...
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This note was uploaded on 11/21/2011 for the course ECE 2100 taught by Professor Kelley/seyler during the Spring '05 term at Cornell.

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Lecture 26 - Lecture 26 Mutual Inductance and transformers...

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