Toroidal Solenoid Inductance Calculator
Toroidal Solenoid Inductance Calculator computes the inductance of a toroidal solenoid with a rectangular or circular cross-section. Select the cross-section type, core material, input the number of turns, inner radius, outer radius, height or cross-sectional radius, and relative permeability, then calculate the inductance.
Cross-Section Type
Core Material
Enter Parameters
How to Use Toroidal Solenoid Inductance Calculator:
- Select the cross-section type (Rectangular or Circular).
- Select the core material (Air, Ferrite, or Iron Powder) to auto-fill relative permeability, or enter a custom value.
- Enter values for number of turns, inner radius, outer radius, height (for rectangular) or cross-sectional radius (for circular), and relative permeability using the keypad or direct input; use “Next” to switch fields.
- Click “Calculate” to see step-by-step results.
- Use “Share Result” to get shareable text or “Copy Result” to copy to clipboard.
Formulas:
Inductance for Rectangular Cross-Section:
L = (μ₀ × μᵣ × N² × h × ln(b/a)) / (2 × π)
Inductance for Circular Cross-Section:
L = μ₀ × μᵣ × N² × (√b – √a)²
Where: L = inductance (H), μ₀ = permeability of free space (4π × 10⁻⁷ H/m), μᵣ = relative permeability, N = number of turns, h = height (m), a = inner radius (m), b = outer radius (m)
Important Notes:
- Inputs for number of turns, inner radius, outer radius, height, cross-sectional radius, and relative permeability must be positive. Inner radius must be less than outer radius. Invalid inputs will trigger an error.
- Relative permeability is auto-filled for selected materials (Air: 1, Ferrite: 2000, Iron Powder: 75) but can be customized.
- Clipboard access requires a secure context (HTTPS). If copying fails, try accessing over HTTPS or copy manually.
- Toroidal inductors are used in power electronics due to low magnetic field leakage and high efficiency.