Helical Coil Calculator: Inductance, Resistance & Wire Length

Calculate Helical Coil Properties

Calculation Results

Calculated Inductance:

Total Wire Length:

Calculated Resistance:

Unlock the secrets of electromagnetic coils with our Helical Coil Calculator. Accurately determine the inductance, resistance, and total wire length of your solenoids or helical inductors. This essential tool simplifies complex calculations for engineers, students, and hobbyists designing custom coils for various applications.

Formula:

Inductance (L) (for a long solenoid approximation):

L = (μ₀ * N² * π * (D/2)²) / l

Total Wire Length (Lw):

Lw = N * π * D

Resistance (R):

R = ρ * (Lw / Aw)

  • L = Inductance (Henry)
  • Lw = Total Wire Length (meters)
  • R = Resistance (Ohms)
  • μ₀ = Permeability of free space (4π × 10⁻⁷ H/m)
  • N = Number of Turns (dimensionless)
  • D = Coil Diameter (meters)
  • l = Coil Length (meters)
  • ρ = Resistivity of Wire Material (Ohm-meters)
  • Aw = Cross-sectional Area of Wire (m²) = π * (d/2)²
  • d = Wire Diameter (meters)

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