Transformers

Transformers - Mutual Inductance L1 dI Lm 2 dt + + - I1 Lm...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
© Robert York, 2006 Mutual Inductance L m L 1 L 2 + - + - I 1 V 1 + - V 2 I 2 2 m dI L dt 1 L + - 2 L 1 m dI L dt 12 11 22 m m dI dI VL L dt dt dI dI L dt dt + L m L 1 L 2 + - + - I 1 V 1 + - V 2 I 2 2 m dI L dt 1 L + - 2 L 1 m dI L dt Correct sign for mutual inductance found from Lenz’ law and dot convention Dot convention: current flowing into one dot will induce current flow out of second dot
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
© Robert York, 2006 Transformers A transformer is just a special case where the mutual inductance is made as large as possible by allowing both coils to share the same flux This is usually achieved by winding them both on a common core of high permeability material (soft iron or ferrite materials) I 1 I 2 + 11 1 2 21 2 2 m m Vj L Ij L I L L I ω ωω = + =+ + V 1 V 2 - - When there is no flux leakage, the mutual inductance is related to the primary and secondary inductances as 12 m L LL = For real transformers this can never be quite achieved, so we write where 0 1 m L kL L k =< < coefficient of coupling
Background image of page 2
© Robert York, 2006 Ideal Transformer 1:n 11 22
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 5

Transformers - Mutual Inductance L1 dI Lm 2 dt + + - I1 Lm...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online