I want to wind an air core solenoid around a copper tube. One end of the solenoid is soldered to the copper tube. (See picture above). Will a magnetic field be induced in the copper tube that cancels out a significant part of the field from the solenoid? (See picture below.) I regard anything smaller than 1% of primary field, or 20 dB down, to be insignificant.
Please note that, in the images, numbers in circles represent steps in the following logic.
Here is what I think will happen:
- Current flowing through solenoid sets up the primary magnetic field.
- The primary magnetic field induces an EMF.
- The induced-EMF causes a current to circulate around the tube.
- The induced current causes the induced magnetic field, which is in the opposite direction of the primary.
Here are my questions:
- Am I thinking through this correctly?
- How can I calculate the magnitude of the induced magnetic field?
Edit: Several people have asked about timespan. The solenoid will be energized for 3*tau (where tau = L/R) and then de-energized for >> 100*tau. Current is DC in the sense that it only ever moves in 1 direction. (Obviously current still has an AC component in Fourier domain.) But we're not talking about DC in the sense that the coil reaches steady state while energized. I hope this helps.