Effective resistance of secondary circuit in transformers

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SUMMARY

The discussion centers on calculating the effective resistance of a secondary circuit in a transformer with a primary voltage of 150 V and a secondary voltage of 25 V. The primary circuit consists of 130 windings, leading to a calculated secondary winding count of 22. The effective resistance (Reff) of the secondary circuit is derived using the formula Reff = R(N1/N2)^2, where R is the load resistance of 55 ohms. The correct calculation yields an effective resistance of 1500 ohms, confirming the equation's validity when applied correctly.

PREREQUISITES
  • Understanding of transformer principles and voltage transformation
  • Familiarity with the formula V2/V1=N2/N1 for winding ratios
  • Knowledge of effective resistance calculations in electrical circuits
  • Basic grasp of Ohm's Law and resistance concepts
NEXT STEPS
  • Review transformer winding ratio calculations and their implications
  • Study effective resistance formulas and their applications in circuit analysis
  • Explore practical examples of transformer design and load considerations
  • Investigate common mistakes in electrical calculations and how to avoid them
USEFUL FOR

Electrical engineering students, educators, and professionals involved in transformer design and analysis, as well as anyone interested in understanding effective resistance in secondary circuits.

sarah68
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Homework Statement


You need a transformer to reduce a voltage of 150 V in the primary circuit to 25 V in the secondary circuit. The primary circuit has 130 windings and the secondary circuit is completed through a 55 ? resistor. (a) How many windings should the secondary circuit contain? (b) What is the effective resistance of the secondary circuit?

Homework Equations



V2/V1=N2/N1

Reff= R(N1/N2)^2

The Attempt at a Solution



I solved part A. N2 is 22 windings. However, part B is 1500 but I can't seem to get that answer! I used the above equation but it doesn't give me that answer. Is the Reff equation that I'm using wrong? Please help me!
 
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i think you got the secondary circuit voltage and windings also. you its correct secondary circuit resistance is depend on load only.
 
Yes, but if I plug in the values with that equation I don't get 1500 for part B. I don't know what I'm doing wrong.
 

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