# Wire Selection

# Wire Gauge &amp; Material Selection

The wire used to wind an inductor directly affects its DC resistance, current capacity, and Q factor. Proper wire selection is essential for maximizing VIC circuit performance.

## Wire Gauge Systems

Wire size is commonly specified using the American Wire Gauge (AWG) system:

<table id="bkmrk-awg-diameter-%28mm%29-ar" style="width: 100%; border-collapse: collapse; margin: 20px 0;"><thead><tr style="background: #007bff; color: white;"><th style="padding: 10px; border: 1px solid #ddd;">AWG</th><th style="padding: 10px; border: 1px solid #ddd;">Diameter (mm)</th><th style="padding: 10px; border: 1px solid #ddd;">Area (mm²)</th><th style="padding: 10px; border: 1px solid #ddd;">Ω/m (Copper)</th><th style="padding: 10px; border: 1px solid #ddd;">Max Current (A)</th></tr></thead><tbody><tr><td style="padding: 10px; border: 1px solid #ddd;">18</td><td style="padding: 10px; border: 1px solid #ddd;">1.024</td><td style="padding: 10px; border: 1px solid #ddd;">0.823</td><td style="padding: 10px; border: 1px solid #ddd;">0.0210</td><td style="padding: 10px; border: 1px solid #ddd;">2.3</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">20</td><td style="padding: 10px; border: 1px solid #ddd;">0.812</td><td style="padding: 10px; border: 1px solid #ddd;">0.518</td><td style="padding: 10px; border: 1px solid #ddd;">0.0333</td><td style="padding: 10px; border: 1px solid #ddd;">1.5</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">22</td><td style="padding: 10px; border: 1px solid #ddd;">0.644</td><td style="padding: 10px; border: 1px solid #ddd;">0.326</td><td style="padding: 10px; border: 1px solid #ddd;">0.0530</td><td style="padding: 10px; border: 1px solid #ddd;">0.92</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">24</td><td style="padding: 10px; border: 1px solid #ddd;">0.511</td><td style="padding: 10px; border: 1px solid #ddd;">0.205</td><td style="padding: 10px; border: 1px solid #ddd;">0.0842</td><td style="padding: 10px; border: 1px solid #ddd;">0.58</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">26</td><td style="padding: 10px; border: 1px solid #ddd;">0.405</td><td style="padding: 10px; border: 1px solid #ddd;">0.129</td><td style="padding: 10px; border: 1px solid #ddd;">0.1339</td><td style="padding: 10px; border: 1px solid #ddd;">0.36</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">28</td><td style="padding: 10px; border: 1px solid #ddd;">0.321</td><td style="padding: 10px; border: 1px solid #ddd;">0.081</td><td style="padding: 10px; border: 1px solid #ddd;">0.2128</td><td style="padding: 10px; border: 1px solid #ddd;">0.23</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">30</td><td style="padding: 10px; border: 1px solid #ddd;">0.255</td><td style="padding: 10px; border: 1px solid #ddd;">0.051</td><td style="padding: 10px; border: 1px solid #ddd;">0.3385</td><td style="padding: 10px; border: 1px solid #ddd;">0.14</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">32</td><td style="padding: 10px; border: 1px solid #ddd;">0.202</td><td style="padding: 10px; border: 1px solid #ddd;">0.032</td><td style="padding: 10px; border: 1px solid #ddd;">0.5383</td><td style="padding: 10px; border: 1px solid #ddd;">0.09</td></tr></tbody></table>

*Note: AWG follows logarithmic progression. Each 3 AWG steps doubles resistance, halves area.*

## Wire Materials

<table id="bkmrk-material-resistivity" 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;">Resistivity (×10⁻⁸ Ω·m)</th><th style="padding: 10px; border: 1px solid #ddd;">Relative to Copper</th><th style="padding: 10px; border: 1px solid #ddd;">Use Case</th></tr></thead><tbody><tr style="background: #e7f3ff;"><td style="padding: 10px; border: 1px solid #ddd;">**Copper**</td><td style="padding: 10px; border: 1px solid #ddd;">1.68</td><td style="padding: 10px; border: 1px solid #ddd;">1.0× (reference)</td><td style="padding: 10px; border: 1px solid #ddd;">Best for high Q</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Aluminum</td><td style="padding: 10px; border: 1px solid #ddd;">2.65</td><td style="padding: 10px; border: 1px solid #ddd;">1.6×</td><td style="padding: 10px; border: 1px solid #ddd;">Lightweight applications</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">SS304</td><td style="padding: 10px; border: 1px solid #ddd;">72</td><td style="padding: 10px; border: 1px solid #ddd;">~43×</td><td style="padding: 10px; border: 1px solid #ddd;">Corrosion resistance</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">SS316</td><td style="padding: 10px; border: 1px solid #ddd;">74</td><td style="padding: 10px; border: 1px solid #ddd;">~44×</td><td style="padding: 10px; border: 1px solid #ddd;">Better corrosion resistance</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">SS430 (Ferritic)</td><td style="padding: 10px; border: 1px solid #ddd;">~100</td><td style="padding: 10px; border: 1px solid #ddd;">~60×</td><td style="padding: 10px; border: 1px solid #ddd;">Magnetic, high resistance</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Nichrome (80/20)</td><td style="padding: 10px; border: 1px solid #ddd;">108</td><td style="padding: 10px; border: 1px solid #ddd;">~64×</td><td style="padding: 10px; border: 1px solid #ddd;">Heating elements, damping</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Kanthal A1</td><td style="padding: 10px; border: 1px solid #ddd;">145</td><td style="padding: 10px; border: 1px solid #ddd;">~86×</td><td style="padding: 10px; border: 1px solid #ddd;">High-temp resistance wire</td></tr></tbody></table>

## Effect of Material on Q Factor

#### Q Factor Relationship:

Q = 2πfL / R

Since R is proportional to resistivity, using high-resistivity wire dramatically reduces Q:

<div class="formula-box" id="bkmrk-copper-wire-q-%3D-100-" style="background: #fff3cd; padding: 20px; border-left: 4px solid #ffc107; margin: 20px 0;"><table style="width: 100%; margin-top: 15px;"><tbody><tr><td>**Copper wire Q = 100**</td><td>→ SS316 wire Q ≈ 2.3</td></tr><tr><td>**Copper wire Q = 50**</td><td>→ Nichrome wire Q ≈ 0.8</td></tr></tbody></table>

</div>## When to Use Resistance Wire

Despite lower Q, resistance wire has valid uses:

- **Current limiting:** Built-in current limit without separate resistor
- **Damping:** Prevents excessive ringing
- **Safety:** Limits power in fault conditions
- **Meyer's designs:** Some original VIC designs used stainless steel wire

**Warning:** Using resistance wire in a resonant circuit dramatically reduces voltage magnification. A Q of 2 means you only get 2× voltage gain instead of 50× or 100× with copper.

## Skin Effect

At high frequencies, current flows primarily near the wire surface:

#### Skin Depth (δ):

δ = √(ρ / (π × f × μ₀ × μᵣ))

#### For Copper:

δ(mm) ≈ 66 / √f(Hz)

<div class="formula-box" id="bkmrk-1-khz-%CE%B4-%E2%89%88-2.1-mm-10-" style="background: #f8f9fa; padding: 20px; border-left: 4px solid #007bff; margin: 20px 0;"><table style="width: 100%; margin-top: 15px; border-collapse: collapse;"><tbody><tr style="background: #e7f3ff;"><td style="padding: 8px; border: 1px solid #ddd;">1 kHz</td><td style="padding: 8px; border: 1px solid #ddd;">δ ≈ 2.1 mm</td></tr><tr><td style="padding: 8px; border: 1px solid #ddd;">10 kHz</td><td style="padding: 8px; border: 1px solid #ddd;">δ ≈ 0.66 mm</td></tr><tr style="background: #e7f3ff;"><td style="padding: 8px; border: 1px solid #ddd;">100 kHz</td><td style="padding: 8px; border: 1px solid #ddd;">δ ≈ 0.21 mm</td></tr></tbody></table>

</div>### Skin Effect Mitigation

- **Litz wire:** Multiple thin insulated strands twisted together
- **Flat/ribbon wire:** More surface area for same cross-section
- **Use finer gauge:** If wire radius ≈ δ, skin effect is minimal

## Magnet Wire Types

<table id="bkmrk-insulation-type-temp" style="width: 100%; border-collapse: collapse; margin: 20px 0;"><thead><tr style="background: #6c757d; color: white;"><th style="padding: 10px; border: 1px solid #ddd;">Insulation Type</th><th style="padding: 10px; border: 1px solid #ddd;">Temp Rating</th><th style="padding: 10px; border: 1px solid #ddd;">Voltage Rating</th><th style="padding: 10px; border: 1px solid #ddd;">Notes</th></tr></thead><tbody><tr><td style="padding: 10px; border: 1px solid #ddd;">Polyurethane (solderable)</td><td style="padding: 10px; border: 1px solid #ddd;">130°C</td><td style="padding: 10px; border: 1px solid #ddd;">~100V/layer</td><td style="padding: 10px; border: 1px solid #ddd;">Can solder through coating</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Polyester-imide</td><td style="padding: 10px; border: 1px solid #ddd;">180°C</td><td style="padding: 10px; border: 1px solid #ddd;">~200V/layer</td><td style="padding: 10px; border: 1px solid #ddd;">Good general purpose</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Polyamide-imide</td><td style="padding: 10px; border: 1px solid #ddd;">220°C</td><td style="padding: 10px; border: 1px solid #ddd;">~300V/layer</td><td style="padding: 10px; border: 1px solid #ddd;">High temp applications</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Heavy build (HN)</td><td style="padding: 10px; border: 1px solid #ddd;">Various</td><td style="padding: 10px; border: 1px solid #ddd;">~500V/layer</td><td style="padding: 10px; border: 1px solid #ddd;">Thicker insulation</td></tr><tr><td style="padding: 10px; border: 1px solid #ddd;">Triple insulated</td><td style="padding: 10px; border: 1px solid #ddd;">Various</td><td style="padding: 10px; border: 1px solid #ddd;">~3000V</td><td style="padding: 10px; border: 1px solid #ddd;">Safety-rated isolation</td></tr></tbody></table>

## Wire Selection Guidelines for VIC

#### For Maximum Q (recommended):

<div id="bkmrk-use-copper-magnet-wi" style="background: #d4edda; padding: 20px; border-radius: 5px; margin: 20px 0;"><div style="background: #d4edda; padding: 20px; border-radius: 5px; margin: 20px 0;">- Use **copper magnet wire**
- Choose gauge based on skin depth at operating frequency
- Use largest gauge that fits the core/bobbin
- Consider Litz wire for frequencies &gt;50 kHz

</div></div>#### For Current-Limited Applications:

<div id="bkmrk-use-stainless-steel-" style="background: #d4edda; padding: 20px; border-radius: 5px; margin: 20px 0;">- Use stainless steel or nichrome
- Calculate required resistance: R = V<sub>max</sub>/I<sub>limit</sub>
- Accept reduced Q factor as tradeoff

</div>## Calculating Wire Length

#### Wire Length for N Turns:

l<sub>wire</sub> ≈ N × π × d<sub>coil</sub>

Where d<sub>coil</sub> is the average coil diameter.

#### Resulting DCR:

R<sub>dc</sub> = ρ × l<sub>wire</sub> / A<sub>wire</sub>

**VIC Matrix Calculator:** The Choke Design tool automatically calculates DCR based on your wire gauge, material, and number of turns. It shows the resulting Q factor and voltage magnification for your design.

*Next: Bifilar Winding Technique →*