Solenoid Magnetic Field Calculator

Calculate the magnetic field inside an ideal solenoid from turns, length, current, and relative permeability.

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How This Tool Works

The Solenoid Magnetic Field Calculator estimates the magnetic flux density inside an ideal long solenoid using B = μ0μrnI. Enter the number of turns N, solenoid length L, current I, and relative permeability μr. The tool calculates n = N/L in turns per meter, then reports the field in tesla, millitesla, and gauss.

  • Inputs: Turns, length, current, and relative permeability.
  • Formula: B = μ0μr(N/L)I.
  • Outputs: Magnetic field B plus turns per meter and turns per centimeter.

Why This Matters

Solenoids are used to create predictable magnetic fields in coils, relays, lab demonstrations, sensors, and electromagnets. Comparing field strength against turns per meter and current helps size a coil before moving to detailed thermal, resistance, and core-saturation checks.

This is an ideal-solenoid estimate. Short coils, edge effects, nonuniform windings, heating, and nonlinear magnetic cores can make measured fields differ from the calculated value.

Frequently Asked Questions

Common questions about the Solenoid Magnetic Field Calculator

Magnetic field strength is measured in Tesla (SI) or Gauss (CGS). 1 Tesla = 10,000 Gauss. Earth magnetic field is about 50 microtesla.

Sources & References

International System of Units (SI): magnetic flux and flux density

Magnetic flux and flux density is measured in the weber (Wb) and tesla (T). Conversions between SI and other units use exact, internationally agreed factors maintained by NIST.

International System of Units (SI)

Authoritative definitions for magnetic flux and flux density, from the BIPM SI Brochure (9th edition), the defining reference for the SI.