Ideal Transformer: Vp/Vs, Ip/Is, Np/Ns Ratios

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    Transformer
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Discussion Overview

The discussion revolves around the behavior of an ideal transformer, specifically focusing on the relationships between primary and secondary voltages (Vp/Vs), currents (Ip/Is), and turns ratios (Np/Ns). Participants explore the implications of changing load resistance on these ratios and the resulting effects on voltage and current.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions whether increasing primary voltage (Vp) leads to a decrease in primary current (Ip) or secondary current (Is), suggesting a need for clarification on the relationships between these variables.
  • Another participant emphasizes that transformers transfer power, stating that the changes in voltage, current, or impedance are secondary effects of the turns ratio, and that power remains constant in an ideal transformer.
  • A participant asserts that if load resistance changes, both currents (Ip and Is) will change while the voltages (Vp and Vs) remain constant, seeking confirmation of this understanding.
  • A later reply agrees with the assertion that voltages do not change when load resistance changes, indicating a shared understanding among some participants.

Areas of Agreement / Disagreement

There is some agreement among participants regarding the constancy of voltages when load resistance changes, but the initial question about the relationships between currents and voltages remains somewhat unresolved, as it relies on further clarification of the concepts involved.

Contextual Notes

Participants express varying levels of understanding regarding the implications of changing load resistance on transformer behavior, and there are assumptions about ideal conditions that may not be explicitly stated.

Who May Find This Useful

This discussion may be useful for individuals studying electrical engineering, particularly those interested in transformer theory and the relationships between voltage, current, and resistance in ideal transformers.

Volcano
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Hi,

http://en.wikipedia.org/wiki/Transformer

related picture:
11760pt.jpg


Above link, says: "If the voltage is increased, then the current is decreased by the same factor."

I didn't understand. Is this means, if I increase Vp, Ip will decrease? Or means Is will decrease?

One more... Suppose an ideal transformer. Vp/Vs , Np/Ns and Is/Ip ratios are equal(like given pic). If I increase Vp then Vs will too because Np/Ns ratio is constant. So, Vp/Vs ratio will be equal to Np/Np everytime. Let's suppose, load resistance is variable(potentiometer) and resistance is increasing;

1. Vs won't change. Because Vp, Np, Ns didn't change.
2. Is will decrease. Because Vs = Is * R(Ohm Law).
3. Ip will decrease like Is.

As a result: If transformer is ideal and ONLY load(resistance) decrease, neither Vp nor Vs don't change. Only both Ip and Is decrease. Surely if load(resistance) increase both circuits decrease but both voltages stay the same.

Am I right?
 
Last edited:
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The best way to look at this is to realize that transformers transfer power.
The effect of changing the voltage or current or impedance by the turns ratio is a very convenient and useful side effect.
We actually distinguish (select) transformer types according to whether we want to change the voltage, current or impedance.
Having chosen what property we wish to change the othere follow like sheep, from Joules and Ohms laws.

Now power = volts x amps for both the primary and the secondary

The power stays constant for an ideal transformer since the efficiency = 100%

{P_s} = {I_s}{V_s} = {P_p} = {I_p}{V_p}

Does this help?
 
Yes, i know that equation. And I suppose am right. But asked to be sure. If load resistance change, both currents change but voltages not, isn't it?
 
Yes.
 
thank you :)
 

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