ONE FORMULA, ONE ANSWER
Long Air Core Solenoid Calculator
Check an initial inductance estimate for a long air core coil. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Long air core solenoid inductance L
Enter values and select Calculate.
L = μ₀ N² A / l
Assumptions
Use A,l>0 and a positive integer turn count. The coil must be much longer than its diameter. Magnetic cores, saturation, end effects and wire resistance are excluded.
Displayed values are floating-point approximations. Measurement uncertainty and design safety factors are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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