# Toroid Inductance Per Turn Calculator

Calculate the inductance per turn of a toroidal inductor with this easy-to-use online calculator.

Calculate the inductance per turn of a toroidal inductor using this convenient online electrical calculator. Toroidal inductors, characterized by their ring-shaped coils, are commonly employed when high inductance is needed at low frequencies. With a greater number of turns, toroid inductors can handle higher currents effectively.

Core width
mm
Outer diameter
mm
Inner diameter
mm
Relative permeability
Number of turns
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2 Number of calculations
L = 2 \cdot N^2 \cdot \mu_r \cdot h \cdot \ln \left(\frac{d_1}{d_2}\right) A_e = \frac{h}{2} \cdot (d_1 - d_2) L_e = \frac{\pi \cdot (d_1 - d_2)}{\ln \left(\frac{d_1}{d_2}\right)} V_e = A_e \cdot L_e \frac{B}{I} = \frac{0.4 \pi \cdot \mu_r \cdot N}{L_e}

Where:

• L = Inductance
• N = number of turns
• μr = Relative permeability
• h = Core width
• d1 = Outer diameter
• d2 = Inner diameter
• Ae = Effective core area
• Le = Effective core length
• Ve = Effective core volume
• B/I = Flux Density per Amp