Distance relationship between primary/secondary coils

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SUMMARY

The forum discussion centers on an experiment involving AC transformers, specifically examining the relationship between the distance of a secondary coil from a primary coil and the voltage induced in the secondary coil. The setup included a constant AC supply, a large primary coil, a smaller secondary coil, and a voltmeter. Results indicated a sinusoidal pattern in the voltage readings as the secondary coil was raised, prompting inquiries about the governing equations for the induced voltage and the magnetic field's 3-D shape and intensity.

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  • Understanding of AC transformer principles
  • Familiarity with electromagnetic induction
  • Knowledge of voltage measurement techniques
  • Basic grasp of trigonometric functions in physics
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  • Research the equation governing induced voltage in transformers, specifically Faraday's Law of Electromagnetic Induction
  • Explore the mathematical representation of magnetic fields generated by current-carrying loops
  • Study the characteristics of sinusoidal voltage outputs in AC circuits
  • Investigate the effects of distance on magnetic field strength and induction
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Physics students, electrical engineers, and anyone interested in the principles of electromagnetic induction and transformer design.

tima89
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We have done a simple experiment on AC transformers.
Given: AC Supply. Big primary coil. Smaller secondary coil. Even smaller metal rod. (They all fit into each other) Voltmeter
What we did:
Connected AC supply to the primary coil. Voltage kept constant at all times
Secondary coil was placed in the primary coil, and connected to a voltmeter.
procedure:
Secondary coil was raised X distance from the primary coil. (Measured top to top).
Voltage on the secondary coil measured with each step.

Now, our results (Voltage vs. Distance) showed parts of a sin (or cosine) graph, and we are having a hard time justifying it. (i know that flux is BAcos(theta)
I would be very pleased if someone could explain it.

Thanks in advance
 
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What equation should govern the pickup voltage as a function of distance? What equation describes the 3-D shape and intensity of the magnetic field created by a wire loop?
 

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