Total magnetic flux of a solenoid

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SUMMARY

The total magnetic flux through an amperian loop surrounding a solenoid varies based on the ideality of the solenoid. For an ideal solenoid, the total flux is non-zero as the magnetic field outside the solenoid is considered zero, allowing only the core's flux to contribute. In contrast, for a real solenoid, the total flux is zero due to the presence of magnetic field lines that extend outside the solenoid, which cancel the core's flux. This cancellation becomes complete as the radius of the amperian loop approaches infinity.

PREREQUISITES
  • Understanding of solenoid magnetic fields
  • Familiarity with Ampère's Law
  • Knowledge of magnetic flux concepts
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the properties of ideal vs. real solenoids
  • Learn about magnetic field lines and their behavior
  • Explore applications of Ampère's Law in different geometries
  • Investigate the concept of magnetic flux in various electromagnetic systems
USEFUL FOR

Physics students, electrical engineers, and anyone interested in understanding the behavior of magnetic fields in solenoids and their applications in electromagnetism.

shahbaznihal
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There is a solenoid of a certain radius, carrying a certain current. I draw an amperian loop of radius greater than the radius of the solenoid. If I calculate the total flux through this loop it should be,

1) Non zero for an ideal solenoid (where the field outside the core of the solenoid is considered zero). Thus the only flux that will pass through the area of the loop will come from the core of the solenoid.

2) Zero for a real solenoid because the field outside the solenoid is not exactly zero (magnetic field lines will not just terminate outside the solenoid). Magnetic field lines, in reality, will continue outside the loop and return back to the core. And some of that flux will pass through the area of the amperian loop and cancel the some of flux from core of the solenoid. For an infinitely large radius of the amperian loop, it will be exactly zero because than ALL the flux will pass through the loop which will exactly cancel the oppositely directed flux from the core.

Does this make sense?
 
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to me, yes it make sense..
 

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