Resistance in circuits with transformers

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SUMMARY

This discussion centers on the resistance in circuits with transformers, specifically focusing on a step-down transformer scenario. The primary coil operates at 10V and 1A with 100 turns, while the secondary coil has 20 turns, resulting in 2V and 5A in the secondary. The calculated resistances are 10Ω for the primary and 0.4Ω for the secondary. The inquiry highlights that the effective resistance of the secondary coil is indeed lower, and a 10Ω resistor in the secondary would lead to a significantly larger percentage power drop compared to the primary coil.

PREREQUISITES
  • Understanding of transformer operation and electromagnetic induction
  • Familiarity with Ohm's Law (V = IR)
  • Basic knowledge of electrical resistance and power calculations
  • Concept of turns ratio in transformers
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Electrical engineering students, hobbyists learning about transformers, and professionals involved in circuit design and analysis will benefit from this discussion.

Pharrahnox
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I am starting to learn about transformers, and know the basics: they use electromagnetic induction to induce a current in a secondary coil, and the voltage and amperage of that second coil are dependent on the voltage and amperage of the first coil, and the ratio of turns in each coil.

So, here is a little scenario, then I'll get onto the question.

Say I have the primary coil running at 10V and 1A, with 100 turns in the coil. In the secondary coil, I have 20 turns in the coil.

The secondary coil would then have 2V and 5A (assuming an ideal transformer).

Now for the question. When using Ohm's Law (V = IR --> R = V/I), it would seem that the primary coil has 10V/1A = 10Ω of resistance, and the secondary coil has 2V/5A = 0.4Ω of resistance.

Does this then mean that the effective resistance of the secondary coil is lowered in a step-down transformer? Does this also mean that a 10Ω resistor in the seondary coil would cause a larger power drop (P = VI) percentage-wise than it would in the primary coil? (10+10 = 20/10 = 200%, 0.4+10 = 10.4/0.4 = 2600%)

I would like to learn more about reistance in transformer circuits, so any links would also be appreciated. Thanks for any replies.
 
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