On-axis field degradation of solenoid

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SUMMARY

The discussion focuses on calculating the induced current in a secondary coil positioned on the axis of a solenoid, specifically addressing the impact of magnetic flux degradation with distance. The Biot-Savart Law is applied to determine the magnetic field strength, and the key question is whether to use the field strength at the center of the coil or an average value along its length. The consensus leans towards integrating the magnetic field over the entire area of the coil to obtain a more accurate representation of the induced current.

PREREQUISITES
  • Understanding of Biot-Savart Law
  • Knowledge of induced electromotive force (EMF) principles
  • Familiarity with solenoid magnetic field equations
  • Basic calculus for integration
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  • Study the application of the Biot-Savart Law in electromagnetic theory
  • Learn about induced EMF and its calculation methods
  • Research solenoid design and its magnetic field characteristics
  • Explore integration techniques for calculating average values in physics
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Students and educators in physics, electrical engineering professionals, and anyone involved in electromagnetic field analysis and solenoid applications.

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Homework Statement



I have to calculate the induced current in a coil a known distance from a solenoid (the secondary coil is on the axis of the solenoid). As the magnetic flux from the solenoid weakens with distance, I have applied biort-savart law to determine the stength of the magnetic field at a point from the solenoid. My question is, when I am calculating the induced current in the second coil, do I do so by considering the magnetic field stength at the center of the second coil, or do I find an average field strength by considering the field strength at all the points along the axis of the coil?

Homework Equations


Equation for thin shell solenoid field degradation: http://www.netdenizen.com/emagnet/solenoids/thinsolenoid.htm


The Attempt at a Solution


I think that it's more appropriate to consider the average field strength throughout the second coil, but I am not sure. Can anyone help me please?
 
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wouldn't you just integrate the B field over the area. And how is the field changing with time .
 

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