Transformer equations under load

In summary, the theory behind current and flux in transformers is that flux is constant and induced voltage is proportional to the total of all magnetomotive forces present.
  • #1
Glenn G
113
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My question is about the theory when a current is drawn from secondary coils ...

So ac in the primary produces a changing field that links itself producing a back emf in primary (in ideal transformer back emf equals Vp from the supply but in a real transformer the is a small net current in primary)

The changing field also links secondary producing induced voltage and as current flows there is also a back emf in secondary, can think of mag field generated by secondary feeds back to primary

??Does this field fed back from secondary cancel out part of the back emf in primary such that in primary therefore there is a bigger difference between Vp and emf so larger current in primary?
 
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  • #2
Glenn G said:
??Does this field fed back from secondary cancel out part of the back emf in primary such that in primary therefore there is a bigger difference between Vp and emf so larger current in primary?

I think you already know the answer, just you don't trust your reasoning...

We use words to paint a word picture of an idea in our mind.
Those words are received by a listener and he paints in his mind a picture of an idea.

Are the two ideas the same ? There are four translations in between the two ideas.

That's why it is always better to resort to math and pictures. This is after all a physics forum.

Counter emf is proportional to flux, e = -ndΦ/dt
and at constant applied voltage flux level is constant
that relation holds for both windings
flux Φ is proportional to total of all magnetomotive forces present, ∑mmf (which is amp-turns), divided by a constant for the core - its reluctance..

so Φ = ## \frac {∑amp-turns } {Reluctance} ##so assuming the picture in my mind of your question is same as the picture in your mind
yes, secondary amp turns cancel primary amp turns
and more primary amps flow
to restore flux
hence counter-emf
back to equlibrium
where counter-emf = applied voltage.

see http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/transf.html

Always test your intuition against your math. When they agree you can begin to trust your intuition.
Then it's safe to build on the picture that's in your mind.

old jim
 
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  • #4
jim hardy said:
Always test your intuition against your math. When they agree you can begin to trust your intuition.
Then it's safe to build on the picture that's in your mind.
Lavoisier said:
"""Algebra, which is adapted to its purpose in every species of expression, in the most simple, most exact, and best manner possible, is at the same time a language and an analytical method...""
 
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FAQ: Transformer equations under load

What is a transformer?

A transformer is an electrical device that is used to transfer electrical energy from one circuit to another through electromagnetic induction.

How does a transformer work?

A transformer works by using two coils of wire, known as the primary and secondary coils, which are wrapped around an iron core. When an alternating current is passed through the primary coil, it creates a fluctuating magnetic field, which in turn induces a voltage in the secondary coil. This voltage can then be stepped up or down, depending on the number of turns in each coil, to match the voltage requirements of the load.

What is the transformer equation under load?

The transformer equation under load is used to calculate the output voltage of a transformer, given the input voltage, number of turns in the primary and secondary coils, and the load impedance. It is expressed as V2 = V1(N2/N1), where V2 is the output voltage, V1 is the input voltage, N2 is the number of turns in the secondary coil, and N1 is the number of turns in the primary coil.

How does the load affect the transformer equation?

The load affects the transformer equation by changing the impedance seen by the secondary coil. This changes the current flowing through the secondary coil, which in turn affects the output voltage of the transformer. As the load increases, the output voltage will decrease due to a decrease in the current flowing through the secondary coil.

What is the significance of the transformer equation under load?

The transformer equation under load is significant as it allows us to determine the output voltage of a transformer for a given input voltage and load impedance. This is important in designing and selecting the appropriate transformer for a specific application, as well as calculating the efficiency and performance of the transformer.

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