Self-induction

Friday, 31 August 2018

1:06 PM

Two loops in a circuit interact so that a change in I in one loop generates an emf ﷐ϵ﷮𝐿﷯ in the other. Since these are other parts of the same circuit, this is called 'self'induction'.

The emf will act to resists the current change that causes it

﷐ϵ﷮𝐿﷯=−𝐿﷐𝑑𝑖﷮𝑑𝑡﷯

Inductance
𝐿=﷐𝑁﷐Φ﷮𝐵﷯﷮𝑖﷯
Where ﷐Φ﷮𝐵﷯ is the flux generated by the current I through N turns of coil.

The units are the Henry where 1H = 1 Tm^2/A

The inductance for a simple solenoid is 𝐿=﷐𝜇﷮0﷯﷐𝑛﷮2﷯𝐴𝑙 Where n is the number of turns per length, A is the loop area and I is the length of the coil

𝐿=﷐μ﷮0﷯﷐𝑛﷮2﷯𝐴𝑙→﷐𝜇﷮0﷯=﷐𝐿﷮﷐𝑛﷮2﷯𝐴𝑙﷯=﷐𝐻﷮𝑚﷯=﷐𝑇𝑚﷮𝐴﷯

Created with Microsoft OneNote 2016.