Magnetic field between two solenoids

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SUMMARY

The discussion centers on the magnetic field generated between two identical solenoids connected in series. The magnetic field due to one solenoid is expressed by the formula B = μ₀nI/l, where μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current. When two solenoids are connected in series, the magnetic field does not double; rather, it remains the same as long as the solenoids are closely coupled without any gaps. The approximation holds true under the assumption of negligible resistance and that the solenoids are sufficiently long.

PREREQUISITES
  • Understanding of solenoid magnetic fields
  • Familiarity with the formula B = μ₀nI/l
  • Knowledge of magnetic permeability (μ₀)
  • Basic principles of series circuits in electromagnetism
NEXT STEPS
  • Research the effects of solenoid length on magnetic field strength
  • Explore the impact of resistance in solenoids on current flow
  • Learn about the magnetic field interactions in coupled inductors
  • Investigate practical applications of solenoids in electromagnetic devices
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Students and professionals in physics, electrical engineering, and anyone interested in the principles of electromagnetism and solenoid applications.

motornoob101
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Say if I have two identical solenoids with equal number of turn etcs.. and I connect them in series such that their magnetic field add up. (instead of canceling each other)

What would be the magnetic field between them? If magnetic field due to one solenoid is B=u0IN/l, then is the magnetic field 2x that B value? (My reasoning is that the magnetic field lines from each solenoid adds up)

Thanks.
 
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the formula you are using:

<br /> B = \mu_o nI<br />

is an approximation that the magnetic field inside a solenoid is constant at all points and zero everywhere else. This approximation holds good for quite a many applications.

when you connect two solenoids, you have the same 'n' [as u said].. i.e the same number of turns per unit length. Since they are in series.. the current flow will be same through them in both cases i.e. connected one at a time or both at a time. This however assumes that the resistance of the solenoid is 0. \mu_o is purely a property of the material in which the field propagates, which will be the same in both the cases i.e. Air.

so.. all things considered, the magnetic field will remain same inside the solenoid. However your approximation will work better in case of the two solenoids since this approximation depends on the fact that the solenoid be long. This however is valid only if there is no gap between those two solenoids i.e. they are connected one after the other without any leads between them.
 
Oh that make sense. thanks
 

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