Inducing Voltage in a Transformer: How Does It Work?

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SUMMARY

The discussion clarifies the process of voltage induction in transformers, emphasizing that a changing current in the primary winding generates a changing magnetic field, which induces voltage in the secondary winding. Even when the secondary is unloaded, the presence of capacitance allows for some current due to charging and discharging actions. The magnetizing current, akin to a simple inductor, is always present in real-world transformers, representing idle energy. When a resistive load is connected to the secondary, in-phase currents flow, indicating real energy transfer from the supply to the load.

PREREQUISITES
  • Understanding of transformer operation and principles
  • Knowledge of inductance and capacitance in electrical circuits
  • Familiarity with AC current behavior and reactive power
  • Basic concepts of energy transfer in electrical systems
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  • Study the principles of coupled inductors in electrical engineering
  • Learn about the effects of magnetizing inductance in transformers
  • Explore the role of reactive power in AC circuits
  • Investigate the impact of load conditions on transformer performance
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Electrical engineers, physics students, and anyone interested in understanding transformer functionality and energy transfer in electrical systems.

Elquery
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TL;DR
A changing current in a transformer primary produces a changing magnetic field, which induces a voltage in the secondary, but if no circuits are closed on the secondary, there's no current in the primary. How is there measurable voltage on the secondary?
A changing current in a transformer primary produces a changing magnetic field, which induces a voltage in the secondary (correct?), but if no circuits are closed on the secondary, there's no current in the secondary (and therefore primary as well). So how is this voltage induced?
 
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If the secondary is unloaded, the impedance is infinite in the ideal case, so that a secondary voltage & zero current occur.
In real world transformers, the secondary winding has a capacitance. This capacitance charges & discharges every ac half cycle. The secondary current is not zero, due to charging & discharge action.
 
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There is always some (often small) amount of primary current in a transformer. We call this the magnetizing current and it is essentially the same as if the transformer primary was a simple inductor. In fact most physics classes are taught with "coupled inductors" as opposed to "transformers". It is important to understand that a transformer is just an inductor with extra windings (the secondaries). You can see more of the details in this older post, although you may find it a bit complex. The point is that every transformer model should have an large inductor (the magnetizing inductance) shunting one of the windings. This models the impact of the magnetic core on the windings, this is the inductor that is coupled to the other windings.
 
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Elquery said:
A changing current in a transformer primary produces a changing magnetic field, which induces a voltage in the secondary (correct?), but if no circuits are closed on the secondary, there's no current in the secondary (and therefore primary as well). So how is this voltage induced?
The voltage in the secondary is induced independent of any secondary current to a load.

The primary is an inductor, so a reactive current flows that magnetises the core. That reactive current is in quadrature with the primary voltage and represents idle energy circulating in the supply and primary winding, not real power.

If a real resistive load is connected to the secondary, in-phase currents will flow in the secondary and the primary. Those in-phase currents represents real energy being transferred from the supply to the secondary load.
 
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Most likely this can only be answered by an "old timer". I am making measurements on an uA709 op amp (metal can). I would like to calculate the frequency rolloff curves (I can measure them). I assume the compensation is via the miller effect. To do the calculations I would need to know the gain of the transistors and the effective resistance seen at the compensation terminals, not including the values I put there. Anyone know those values?

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