# Core Materials

# Core Materials &amp; Properties

The core material of an inductor dramatically affects its performance. Choosing the right core is essential for achieving the desired inductance, Q factor, and frequency response in VIC applications.

## Why Use a Core?

A magnetic core increases inductance by providing a low-reluctance path for magnetic flux:

L = μ₀μᵣN²A/l

The relative permeability (μᵣ) of the core multiplies the inductance compared to an air core.

## Core Material Comparison

<table id="bkmrk-material-%CE%BC%E1%B5%A3-%28typical" style="width: 100%; border-collapse: collapse; margin: 20px 0;"><thead><tr style="background: #007bff; color: white;"><th style="padding: 10px; border: 1px solid #ddd;">Material</th><th style="padding: 10px; border: 1px solid #ddd;">μᵣ (typical)</th><th style="padding: 10px; border: 1px solid #ddd;">Frequency Range</th><th style="padding: 10px; border: 1px solid #ddd;">Saturation</th><th style="padding: 10px; border: 1px solid #ddd;">Cost</th></tr></thead><tbody><tr><td style="padding: 10px; border: 1px solid #ddd;">Air</td><td style="padding: 10px; border: 1px solid #ddd;">1</td><td style="padding: 10px; border: 1px solid #ddd;">Any</td><td style="padding: 10px; border: 1px solid #ddd;">N/A</td><td style="padding: 10px; border: 1px solid #ddd;">Free</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Iron Powder</td><td style="padding: 10px; border: 1px solid #ddd;">10-100</td><td style="padding: 10px; border: 1px solid #ddd;">1 kHz - 100 MHz</td><td style="padding: 10px; border: 1px solid #ddd;">High (0.5-1.5T)</td><td style="padding: 10px; border: 1px solid #ddd;">Low</td></tr><tr style="background: #e7f3ff;"><td style="padding: 10px; border: 1px solid #ddd;">Ferrite (MnZn)</td><td style="padding: 10px; border: 1px solid #ddd;">1000-10000</td><td style="padding: 10px; border: 1px solid #ddd;">1 kHz - 1 MHz</td><td style="padding: 10px; border: 1px solid #ddd;">Low (0.3-0.5T)</td><td style="padding: 10px; border: 1px solid #ddd;">Medium</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Ferrite (NiZn)</td><td style="padding: 10px; border: 1px solid #ddd;">50-1500</td><td style="padding: 10px; border: 1px solid #ddd;">100 kHz - 500 MHz</td><td style="padding: 10px; border: 1px solid #ddd;">Low (0.3-0.4T)</td><td style="padding: 10px; border: 1px solid #ddd;">Medium</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Laminated Silicon Steel</td><td style="padding: 10px; border: 1px solid #ddd;">2000-6000</td><td style="padding: 10px; border: 1px solid #ddd;">50 Hz - 10 kHz</td><td style="padding: 10px; border: 1px solid #ddd;">High (1.5-2.0T)</td><td style="padding: 10px; border: 1px solid #ddd;">Low</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Amorphous Metal</td><td style="padding: 10px; border: 1px solid #ddd;">10000-100000</td><td style="padding: 10px; border: 1px solid #ddd;">50 Hz - 100 kHz</td><td style="padding: 10px; border: 1px solid #ddd;">High (1.5T)</td><td style="padding: 10px; border: 1px solid #ddd;">High</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Nanocrystalline</td><td style="padding: 10px; border: 1px solid #ddd;">15000-100000</td><td style="padding: 10px; border: 1px solid #ddd;">1 kHz - 1 MHz</td><td style="padding: 10px; border: 1px solid #ddd;">High (1.2T)</td><td style="padding: 10px; border: 1px solid #ddd;">High</td></tr></tbody></table>

## Core Losses

All magnetic cores dissipate energy through two mechanisms:

### 1. Hysteresis Loss

Energy lost each time the core is magnetized and demagnetized.

P<sub>h</sub> ∝ f × B<sub>max</sub><sup>n</sup> (n ≈ 1.6-2.5)

Proportional to frequency and flux density.

### 2. Eddy Current Loss

Circulating currents induced in the core material.

P<sub>e</sub> ∝ f² × B<sub>max</sub>²

Proportional to frequency squared - dominates at high frequencies.

### Steinmetz Equation

P<sub>core</sub> = k × f<sup>α</sup> × B<sup>β</sup> × Volume

Where k, α, β are material-specific constants from datasheets.

## Ferrite Materials for VIC

Ferrites are the most common choice for VIC frequencies (1-50 kHz):

<table id="bkmrk-material-%CE%BC%E1%B5%A2-optimal-" style="width: 100%; border-collapse: collapse; margin: 20px 0;"><thead><tr style="background: #28a745; color: white;"><th style="padding: 10px; border: 1px solid #ddd;">Material</th><th style="padding: 10px; border: 1px solid #ddd;">μᵢ</th><th style="padding: 10px; border: 1px solid #ddd;">Optimal Frequency</th><th style="padding: 10px; border: 1px solid #ddd;">Application</th></tr></thead><tbody><tr><td style="padding: 10px; border: 1px solid #ddd;">3C90 (TDK)</td><td style="padding: 10px; border: 1px solid #ddd;">2300</td><td style="padding: 10px; border: 1px solid #ddd;">25-200 kHz</td><td style="padding: 10px; border: 1px solid #ddd;">Power transformers</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">N87 (EPCOS)</td><td style="padding: 10px; border: 1px solid #ddd;">2200</td><td style="padding: 10px; border: 1px solid #ddd;">25-500 kHz</td><td style="padding: 10px; border: 1px solid #ddd;">General purpose</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">N97 (EPCOS)</td><td style="padding: 10px; border: 1px solid #ddd;">2300</td><td style="padding: 10px; border: 1px solid #ddd;">25-150 kHz</td><td style="padding: 10px; border: 1px solid #ddd;">Low loss</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">3F3 (Ferroxcube)</td><td style="padding: 10px; border: 1px solid #ddd;">2000</td><td style="padding: 10px; border: 1px solid #ddd;">100-500 kHz</td><td style="padding: 10px; border: 1px solid #ddd;">Higher frequency</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">77 Material (Fair-Rite)</td><td style="padding: 10px; border: 1px solid #ddd;">2000</td><td style="padding: 10px; border: 1px solid #ddd;">Up to 1 MHz</td><td style="padding: 10px; border: 1px solid #ddd;">EMI/RFI suppression</td></tr></tbody></table>

## Iron Powder Cores

Micrometals and Amidon iron powder cores are popular for their:

- High saturation flux density
- Gradual saturation (soft saturation)
- Good temperature stability
- Self-gapping (distributed gap)

### Common Iron Powder Mixes

<table id="bkmrk-mix-%CE%BC-color-frequenc" style="width: 100%; border-collapse: collapse; margin: 20px 0;"><thead><tr style="background: #6c757d; color: white;"><th style="padding: 10px; border: 1px solid #ddd;">Mix</th><th style="padding: 10px; border: 1px solid #ddd;">μ</th><th style="padding: 10px; border: 1px solid #ddd;">Color</th><th style="padding: 10px; border: 1px solid #ddd;">Frequency Range</th></tr></thead><tbody><tr><td style="padding: 10px; border: 1px solid #ddd;">Mix 26</td><td style="padding: 10px; border: 1px solid #ddd;">75</td><td style="padding: 10px; border: 1px solid #ddd;">Yellow/White</td><td style="padding: 10px; border: 1px solid #ddd;">DC - 1 MHz</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Mix 52</td><td style="padding: 10px; border: 1px solid #ddd;">75</td><td style="padding: 10px; border: 1px solid #ddd;">Green/Blue</td><td style="padding: 10px; border: 1px solid #ddd;">DC - 3 MHz</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Mix 2</td><td style="padding: 10px; border: 1px solid #ddd;">10</td><td style="padding: 10px; border: 1px solid #ddd;">Red/Clear</td><td style="padding: 10px; border: 1px solid #ddd;">1 - 30 MHz</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Mix 6</td><td style="padding: 10px; border: 1px solid #ddd;">8</td><td style="padding: 10px; border: 1px solid #ddd;">Yellow</td><td style="padding: 10px; border: 1px solid #ddd;">10 - 50 MHz</td></tr></tbody></table>

## Core Shapes

#### Toroidal

Doughnut shape with closed magnetic path. Excellent flux containment, low EMI. Harder to wind but very efficient.

#### E-Core / EI-Core

E-shaped halves that mate together. Easy to wind on bobbin. Can add air gap easily.

#### Pot Core

Cylindrical with center post. Shields winding from external fields. Good for sensitive applications.

#### Rod Core

Simple cylindrical rod. Open magnetic path, lower inductance per turn but no saturation issues.

## Core Saturation

When the magnetic flux density exceeds the saturation limit:

- Permeability drops dramatically
- Inductance decreases
- Current increases rapidly
- Core heating increases

#### Avoiding Saturation:

B<sub>peak</sub> = (L × I<sub>peak</sub>) / (N × A<sub>e</sub>) &lt; B<sub>sat</sub>

Always check that peak flux density stays below saturation limit of your core material.

## Recommendations for VIC

<table id="bkmrk-frequency-range-reco" style="width: 100%; border-collapse: collapse; margin: 20px 0;"><thead><tr style="background: #17a2b8; color: white;"><th style="padding: 10px; border: 1px solid #ddd;">Frequency Range</th><th style="padding: 10px; border: 1px solid #ddd;">Recommended Core</th><th style="padding: 10px; border: 1px solid #ddd;">Notes</th></tr></thead><tbody><tr><td style="padding: 10px; border: 1px solid #ddd;">1-10 kHz</td><td style="padding: 10px; border: 1px solid #ddd;">N97/3C90 ferrite or iron powder</td><td style="padding: 10px; border: 1px solid #ddd;">Low loss at these frequencies</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">10-50 kHz</td><td style="padding: 10px; border: 1px solid #ddd;">N87/3F3 ferrite</td><td style="padding: 10px; border: 1px solid #ddd;">Good balance of μ and loss</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">50-200 kHz</td><td style="padding: 10px; border: 1px solid #ddd;">3F3/3F4 ferrite or Mix 26 powder</td><td style="padding: 10px; border: 1px solid #ddd;">Lower permeability, lower loss</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">&gt;200 kHz</td><td style="padding: 10px; border: 1px solid #ddd;">NiZn ferrite or Mix 2 powder</td><td style="padding: 10px; border: 1px solid #ddd;">Designed for high frequency</td></tr></tbody></table>

**VIC Matrix Calculator:** The Choke Design module includes a core database with A<sub>L</sub> values and frequency recommendations. Select your core and it will calculate the required turns for your target inductance.

*Next: Wire Gauge &amp; Material Selection →*