Calculating Transformer Input Voltage?

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Discussion Overview

The discussion revolves around calculating the input voltage of a transformer given specific parameters, including output voltage, load resistance, and power factor. The context is a homework problem involving the equivalent circuit of a transformer.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents a homework problem involving a 2400/240-V transformer and requests assistance in calculating the input voltage.
  • Another participant suggests drawing the equivalent circuit and solving for the input voltage, questioning the units of Xm and the load value.
  • A third participant clarifies that the load is 1.5Ω and that Xm is also in ohms.
  • Further, a participant challenges the validity of the load value, asking for clarification on whether additional components are needed to achieve a total impedance of 1.5Ω.
  • Another participant expresses concern about the original poster's lack of initial work and encourages them to show more effort in the discussion.

Areas of Agreement / Disagreement

Participants express differing views on the appropriateness of the load value and the clarity of the original problem statement. There is no consensus on how to proceed with the calculations or the validity of the given parameters.

Contextual Notes

There are unresolved questions regarding the definitions of certain parameters, such as the units of Xm and the nature of the load. The discussion also highlights the need for clearer initial problem statements in homework threads.

Loppyfoot
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Homework Statement


A 2400/240-V, 60-Hz transformer has the following parameters in the equivalent circuit of Figure 6.5: the high-side leakage impedance is (1.2+j2.0)Ω, the low-side leakage impedance is (0.012+j.02)Ω, and Xm at the high-side is 1800 . Neglect Rhe. Calculate the input voltage if the output voltage is 240 V (rms) and supplying a load of 1.5 at a power factor of 0.9 (lagging).



The Attempt at a Solution


No idea how to begin.
 
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Draw up your equivalent circuit and solve for Vin.

While you're at it, is Xm = 1800 in ohms or henrys? And what about " .. a load of 1.5 ..."? Units of 1.5?
 
The load is 1.5Ω, and Xm is also in Ω.
 
Show us your equivalent circuit?

1.5 ohms is a very large load. You sure about it? If so, what component do you need to add to the load resistor to make the total impedance 1.5 ohms? (Or, what component needs to be added to the 1.5 ohm resistive load? I'm not sure which is the case here).
 
Last edited:
Loppyfoot said:

Homework Statement


A 2400/240-V, 60-Hz transformer has the following parameters in the equivalent circuit of Figure 6.5: the high-side leakage impedance is (1.2+j2.0)Ω, the low-side leakage impedance is (0.012+j.02)Ω, and Xm at the high-side is 1800 . Neglect Rhe. Calculate the input voltage if the output voltage is 240 V (rms) and supplying a load of 1.5 at a power factor of 0.9 (lagging).



The Attempt at a Solution


No idea how to begin.

It is not a valid schoolwork thread starter to show zero work in your OP. Please check your PMs, and then show some effort in this thread where you are receiving hints & help...
 

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