How Does a Copper Pipe Affect a Solenoid's Magnetic Field?

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The presence of a copper pipe within a solenoid does not affect the magnetic field strength for direct current (DC) solenoids but significantly attenuates the field for alternating current (AC) or pulsed solenoids. This attenuation occurs due to the induced currents in the copper, which oppose changes in magnetic flux according to Lenz's Law. To amplify the magnetic field of a pulsed solenoid without increasing current or coil density, using high-frequency ferrite or small-diameter coated soft iron wire is recommended. Additionally, cutting a narrow slit along the copper tube can mitigate the opposing induced currents. Understanding these principles is crucial for optimizing designs in applications like low-power coilguns.
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I wanted to know how the magnetic field of a solenoid would be affected if a copper/iron pipe section was put into its center. In other words, what would the resulting magnetic field be if I simply wrapped a coil around a metal pipe section without removing the pipe afterward?

Will there be a stronger field? I was wondering as I came across a copper pipe with a 1cm diameter and am working on a low-power coilgun.

Thank you.
 
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The copper pipe will have absolutely no effect on a dc solenoid. It will have a very serious attenuating effect on an ac or pulsed solenoid.

Bob S
 
Okay, thanks. Why exactly would the magnetic field strength be diminished so dramatically?

Also, is there a method to amplify the magnetic of a pulsed solenoid without increasing the input current or changing the coil's wrap density?
 
From Faraday's law;

Vtube = -d/dt[∫B·ndA] = -A dB/dt, where A is the cross-sectional area of the tube, and V is the induced voltage around the circumference.

Because the copper tube is an electrical short circuit, there is a very large azimuthal induced current in the copper tube that opposes any change in the magnetic flux inside. (Lenz's Law).

High frequency ferrite will help. Also small-diameter coated soft iron wire, like inside the old style automotive cylindrical ignition coils.

[Added note] If you cut a narrow slit along one side of the copper tube for the entire tube length, this will eliminate the induced azimuthal (Lenz's Law) current which opposes the pulsed magnetic field inside the tube.There could still be small higher-order effects though.

Bob S
 
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I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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