Load resistance, dissipated power, transformers. (AC)

AI Thread Summary
The discussion revolves around calculating various power metrics for a transformer system with an alternating voltage of 120 V, a wire resistance of 0.6 Ω, and a current of 100 A. Key calculations include determining the load power (Pl), wire power (Pw), total power (Pt), and load voltage (Vl), with a focus on understanding the current through the wires (Iw) and the load resistance (Rl) as reflected through the transformer. Participants emphasize the importance of the ideal transformer formula, which states that power in equals power out, while also considering the impact of wire resistance. There is some confusion regarding the calculation of load resistance as it relates to the transformer’s primary and secondary windings. The conversation highlights the need for clarity on these concepts to accurately compute the desired values.
evol_w10lv
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Homework Statement


I have got this scheme:
ahj96jyqbpxh7gpg1bne.png

Alternating voltage V = 120 V,
Total resistance of wires Rw = 0.6 Ω
Current is 100 A, ratio 1:5 and 5:1 (as we can see it in the scheme)

Have to calculate dissipated power in the load (Pl), dissipated power in the wires (Pw), total dissipated power (Pt) and voltage in load (Vl).

Homework Equations


Vl = I * Rl
Pl = (5*I)2 * Rl \\5 - because using given ratio
Pw = Iw2 * Rw = 0.6 * Iw2 \\Iw - current true the wires

The Attempt at a Solution


I'm trying to use this equation Pt= V*I = Pw + Pl= 0.6 * Iw2 + (5*I)2 * Rl
But i have got lack of understanding, how exactly is current true the wires Iw, total current It and I guess current in the load is Il = 100A?
 
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First, what does the load reistance R_L look like at the input winding of the output transformer?
 
Last edited:
I'm not sure that I understad your question corectly.
I don't know how to calculate the value of the load resistance reflected back through the transformer.
 
evol_w10lv said:
I'm not sure that I understad your question corectly.
I don't know how to calculate the value of the load resistance reflected back through the transformer.

Then look it up! It's a very simple and extremely important formula based on power out = power in.
 
I guess, you are speaking about ideal transformer formula P in = P out then first transformer's I1*V1 is the same as second transformer's I2 * V2, but there are wire resistance between them.
 
evol_w10lv said:
I guess, you are speaking about ideal transformer formula P in = P out then first transformer's I1*V1 is the same as second transformer's I2 * V2, but there are wire resistance between them.

Assume the wire resistance is all in the secondary winding of the input transformer.

So if the output transformer secondary winding load is R, what is the impedance looking into the primary winding of that transformer?
 

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