Determine the inductance per turn for a toroidal inductor through our user-friendly online calculator.
Effortlessly compute the inductance per turn for a toroidal inductor using this convenient online electrical calculator. Toroidal inductors, recognized by their distinctive ring-shaped coils, are often utilized for achieving high inductance levels at low frequencies. With an increased number of turns, toroid inductors can proficiently manage higher currents.
Toroid Inductance Per Turn formula
![\[L = 2 \cdot N^2 \cdot \mu_r \cdot h \cdot \ln \left(\frac{d_1}{d_2}\right)\]](https://x-calculator.com/wp-content/ql-cache/quicklatex.com-9a30c51220b69097dc907addc6841761_l3.png "Rendered by QuickLaTeX.com")
![\[A_e = \frac{h}{2} \cdot (d_1 - d_2)\]](https://x-calculator.com/wp-content/ql-cache/quicklatex.com-bfdd81df5b133d7fcd82af9726ff0b89_l3.png "Rendered by QuickLaTeX.com")
![\[L_e = \frac{\pi \cdot (d_1 - d_2)}{\ln \left(\frac{d_1}{d_2}\right)}\]](https://x-calculator.com/wp-content/ql-cache/quicklatex.com-64fa1b51b534ec7011910435365d5ba3_l3.png "Rendered by QuickLaTeX.com")
![\[V_e = A_e \cdot L_e\]](https://x-calculator.com/wp-content/ql-cache/quicklatex.com-6936e8bbea08a4f2d291fd09c468b2f4_l3.png "Rendered by QuickLaTeX.com")
![\[\frac{B}{I} = \frac{0.4 \pi \cdot \mu_r \cdot N}{L_e}\]](https://x-calculator.com/wp-content/ql-cache/quicklatex.com-2b1f0f3ec8e7c7e31ffb63b7f1fe33dc_l3.png "Rendered by QuickLaTeX.com")
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
