Can Voltage Division Be Used to Solve Transformer Line/Load Ratio?

In summary, the conversation discusses using voltage division to find voltages and confirms that it is a simple approach for early problems in the chapter. The speaker also asks about using complex conjugate for power across the load and receives confirmation that it is not needed. They then continue to discuss distribution losses and confirm the correctness of the speaker's answer, attributing the low losses to the low resistance of the power lines in the grid.
  • #1
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Homework Statement


(in picture)

Homework Equations


V=IZ

The Attempt at a Solution


So last time I had to do KCL to find voltages, so I want to make sure I'm doing this one right. Can I do voltage division and do Vload/VG?

My division would be VG(500<36.87)/(500<36.87 + 60<53.13)

But that approach seems incredibly simply when normally, these problems have some more work involved . . .
 

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  • #2
It's an early problem in the chapter, so it is probably just that simple to provide voltage division across the load. Confirm you don't need to use complex conjugate for power across load.
 
  • #3
Really? So I got VL as 11.83<-1.726. The ratio is a complex number, but the real part is 0.89 . . . That seems incredibly good? Is it too good?

And for the second part of the question (distribution losses), I'm assuming V^2/R over the Zline component, ignoring the "imaginary" portion of the impedance because it's power losses . . .
 
  • #4
Your answer looks correct to me. And it looks good. It is supposed to look good. The low losses are due to the low resistance of the power lines (delivery system) of the grid. Power lost on the line doesn't get metered and sold.
 

FAQ: Can Voltage Division Be Used to Solve Transformer Line/Load Ratio?

What is a transformer line/load ratio?

A transformer line/load ratio refers to the ratio of the high voltage input (line) to the low voltage output (load) of a transformer. It is used to determine the voltage transformation ratio of the transformer.

How is the line/load ratio calculated?

The line/load ratio is calculated by dividing the high voltage input by the low voltage output. For example, if the transformer has an input voltage of 480V and an output voltage of 240V, the line/load ratio would be 480/240, or 2.

What is the significance of the line/load ratio?

The line/load ratio is important because it determines the voltage transformation ratio of the transformer. This ratio is crucial in ensuring that the correct voltage is delivered to the load, which is necessary for the proper functioning of electrical equipment.

What is the ideal line/load ratio?

The ideal line/load ratio for a transformer is 1:1, which means that the input voltage is equal to the output voltage. This ideal ratio is rarely achieved in practice due to losses in the transformer.

What happens if the line/load ratio is too high or too low?

If the line/load ratio is too high, it means that the output voltage is much lower than the input voltage, which can result in overloading and damage to the transformer. If the ratio is too low, it means that the output voltage is much higher than the input voltage, which can cause electrical equipment to malfunction or fail. Both scenarios can lead to safety hazards and costly repairs.

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