Our free online Toroid Inductance Calculator simplifies the design and analysis of toroidal coils. Quickly determine the inductance of a toroid using its core dimensions, number of turns, and the magnetic permeability of the core material. This essential tool helps engineers, students, and hobbyists optimize their coil designs for various electrical and electronic applications, ensuring accurate component selection and circuit performance.
Formula:
The inductance (L) of a toroid can be calculated using the following formula:
L = (μr * μ0 * N2 * h * (Do - Di)) / (π * (Do + Di))
Where:
- L = Inductance (Henries)
- μr = Relative permeability of the core material (unitless)
- μ0 = Permeability of free space (4π × 10-7 H/m)
- N = Number of turns (unitless)
- h = Core height (meters)
- Do = Outer diameter of the toroid (meters)
- Di = Inner diameter of the toroid (meters)
- π = Pi (approximately 3.14159)