Finding the resistance of a solenoid?

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SUMMARY

The discussion focuses on calculating the resistance of a solenoid with 180 turns and a length of 10 cm, utilizing Ampere's law and Ohm's law. The magnetic field strength was measured at 0.004982 T with 12V applied and 0.004512 T without power. The theoretical magnetic field is derived using the formula B = μ x N x I, where μ is influenced by the iron core. The user seeks to determine the current (I) using Ohm's law, specifically I = V/R, but lacks the resistance value.

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  • Understanding of Ampere's law and its application in electromagnetism.
  • Familiarity with Ohm's law and its components.
  • Knowledge of magnetic field strength measurements and their significance.
  • Basic concepts of electrical resistance and material resistivity.
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  • Research the resistivity of common wire materials to estimate resistance.
  • Learn how to measure the diameter of wire accurately for resistance calculations.
  • Explore the relationship between turns, length, and magnetic field strength in solenoids.
  • Investigate methods to experimentally determine resistance without direct measurement.
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Physics students, electrical engineers, and hobbyists working with solenoids and electromagnetic systems.

mattattack
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I have a solenoid with 180 turns, which is 10 cm long. It has a half core of magnets (which could be constituted as part iron core). The magnetic field strength was measured to be 0.004982 T inside the solenoid around the middle when 12v was run through it and 0.004512 without power running through it. To work out the theoretical magnetic field, I have to use Ampere's law:
B=μ x N x I

B = 8.75x10^-4(because of the iron core)x180x(current in amps)

The problem is I don't have the current in amps.

But I thought I could use Ohm's law:
V= IR

and changed it to

I= V/R

I need the resistance without measuring it, but I don't know how to get it.
 
Last edited:
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Do you know the diameter of the wire, and the material it's made of? If so, try Googling for "resistivity."
 

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