How Do You Prove Vpri in This Transformer Circuit Problem?

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Discussion Overview

The discussion revolves around a transformer circuit problem where participants are tasked with proving a specific voltage equation, Vpri, based on given resistor values and current. The scope includes homework-related problem-solving and mathematical reasoning within the context of electrical engineering.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents a voltage equation to prove, Vpri = 30(10R1 + R1R2 + 10R2)/R2, based on given values of R3 and IR1.
  • Another participant questions the completeness of the information provided, specifically whether the 2A current is indeed through R1.
  • Clarifications are made regarding the description of current flow through resistors and the measurement of voltage across them.
  • A participant claims to have arrived at an answer but notes that the teacher may have omitted the turns ratio necessary for solving the problem.
  • Further inquiry is made about the turns ratio, with a participant expressing interest in solving the problem as well.
  • The turns ratio is later revealed to be 15:1, which may impact the solution approach.

Areas of Agreement / Disagreement

Participants express uncertainty about the completeness of the problem statement, particularly regarding the turns ratio and the current's path through the circuit. There is no consensus on the correctness of the initial claims or the completeness of the information provided.

Contextual Notes

Limitations include potential missing assumptions about the circuit configuration, the necessity of the turns ratio for a complete solution, and the clarity of current flow descriptions.

sero2000
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Homework Statement



http://img169.imageshack.us/img169/8502/73860646mw1.jpg

Given
R3= 10.0Ω
IR1= 2.0A

Prove that Vpri =30( 10R1+R1R2+10R2)/R2




Homework Equations





The Attempt at a Solution


Current across R2= 2xR1/R2
Current across R3= 2R1/R2 +2A
Total Voltage in sec coil= [2R1/R2 +2] x10 + 2R1
= 20R1+20+2R1R2/R2

Im stuck here currently=( any help?
 
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sero2000 said:

Homework Statement



Given
R3= 10.0Ω
IR1= 2.0A

Prove that Vpri =30( 10R1+R1R2+10R2)/R2
Is this the only information given? Are you sure the 2A current is through R1?


Current across R2= 2xR1/R2
Current across R3= 2R1/R2 +2A
We describe current as going through an element (such as a resistor), rather than across it. Voltage, on the other hand, is measured across an element.
 
Ouabache said:
Is this the only information given? Are you sure the 2A current is through R1?



We describe current as going through an element (such as a resistor), rather than across it. Voltage, on the other hand, is measured across an element.

Yea the current through R1 is 2.0A. I already gt the answer=) apprently the teacher forgot to give the turns ratio for the qn. Thanks anyways=)
 
I thought so, I was just about to add, unless this were an isolation transformer, I would expect a ratio of turns (N1:N2), voltage (Vp:Vs), or current (Ip:Is) to be given.

What was the turns ratio? (I'd like to solve this one too).
 
Ouabache said:
I thought so, I was just about to add, unless this were an isolation transformer, I would expect a ratio of turns (N1:N2), voltage (Vp:Vs), or current (Ip:Is) to be given.

What was the turns ratio? (I'd like to solve this one too).

Oh the turns ratio was 15:1
 

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