Magnetism (6 of 13) Magnetic Field of a Coil, Example Calculations

TL;DR

Calculations for magnetic field strength in a coil with and without an iron core, determining length and current.

Transcript

okay in today's video I'm going to go over some relatively straightforward calculations for determining the magnetic field inside of a coil in a previous video I went over come an explanation and how the magnetic field and a coil works so to speak and you can link to that in the upper right hand corner of this video but for now we're just gonna do ... Read More

Key Insights

• 🧑‍🏭 Magnetic field strength in a coil is determined by factors such as permeability, number of windings, current, and length.
• 💯 Introducing an iron core into the coil can significantly enhance the magnetic field strength.
• 🏑 Calculations for coil length and current involve rearranging the magnetic field equation and plugging in values accordingly.

Questions & Answers

Q: How is the magnetic field strength calculated in a coil?

The magnetic field strength in a coil is calculated using the equation B = μ₀μRnI / L, where B is the magnetic field strength, μ₀ is the permeability of free space, μR is the relative permeability, n is the number of windings, I is the current, and L is the length of the coil.

Q: What happens to the magnetic field when an iron core is introduced into the coil?

Introducing an iron core into the coil increases the magnetic field strength significantly, as the iron core has a much higher relative permeability compared to air, affecting the overall magnetic field in the coil.

Q: How can the length of the coil be determined using magnetic field parameters?

The length of the coil can be calculated using the equation L = μ₀nI / B, where L is the length, μ₀ is the permeability of free space, n is the number of windings, I is the current, and B is the magnetic field strength.

Q: How is the current in the coil calculated based on magnetic field and other parameters?

The current in the coil can be determined using the equation I = B*L / (μ₀n), where I is the current, B is the magnetic field strength, L is the length of the coil, μ₀ is the permeability of free space, and n is the number of windings.

Summary & Key Takeaways

• Explaining the calculation of magnetic field strength in a coil using equations.

• Calculating magnetic field strength with and without an iron core.

• Solving for coil length and current based on given parameters.