# LC Circuit

**Resonant Charging Choke** (C) in series with **Excitor-array** (E1/E2) forms an **inductor-capacitor circuit** (LC) since the **Excitor-Array** (ER) <span style="text-decoration: underline;">acts or performs as an capacitor</span> during pulsing operations, as illustrated in Figure (1-2) as to Figure (1-1).

<table border="1" id="bkmrk-figure-%281-2%29-figure-" style="border-collapse: collapse; width: 100%;"><tbody><tr><td class="align-center" style="width: 50.0567%;">Figure (1-2)

[![image-1703011673363.png](https://stanslegacy.com/uploads/images/gallery/2023-12/scaled-1680-/VzsK8hdVflGHQSyd-image-1703011673363.png)](https://stanslegacy.com/uploads/images/gallery/2023-12/VzsK8hdVflGHQSyd-image-1703011673363.png)

</td><td class="align-center" style="width: 50.0567%;">Figure (1-1)

[![image-1703011664617.png](https://stanslegacy.com/uploads/images/gallery/2023-12/scaled-1680-/qhtqz9LzDjg4722f-image-1703011664617.png)](https://stanslegacy.com/uploads/images/gallery/2023-12/qhtqz9LzDjg4722f-image-1703011664617.png)

</td></tr></tbody></table>

The **Dielectric Properties** (*insulator to the flow of amps*) of natural water (*dielectric constant being 78.54 @ 25c*) between the **electrical plates** (E1/E2) forms the **capacitor** (ER).

Water <span style="text-decoration: underline;">now becomes part of</span> the **Voltage Intensifier Circuit** in the form of "**resistance**" between electrical ground and pulse-  
frequency positive-potential

<p class="callout success">... <span style="text-decoration: underline;">helping to prevent electron flow</span> within the **pulsing circuit** (AA) of Figure 1-1.</p>

[![image-1703011664617.png](https://stanslegacy.com/uploads/images/gallery/2023-12/scaled-1680-/qhtqz9LzDjg4722f-image-1703011664617.png)](https://stanslegacy.com/uploads/images/gallery/2023-12/qhtqz9LzDjg4722f-image-1703011664617.png)  
The **Inductor** (C) takes on or becomes an **Modulator Inductor** which steps up an oscillation of an given charging frequency with the effective capacitance of an pulse-forming network in order to charge the **voltage zones** (E1/E2) to an higher potential beyond applied voltage input.

The **Inductance** (C) and **Capacitance** (ER) properties of the LC circuit is therefore "**tuned**" to resonance at a certain frequency.

<p class="callout info">The Resonant Frequency can be raised or lowered by changing the inductance and/or the capacitance values.</p>

<p class="callout success">The established **resonant frequency** is, of course, <span style="text-decoration: underline;">independent of voltage amplitude</span>, as illustrated in Figure (1-3) as to Figure (1-4).  
</p>

<table border="1" id="bkmrk-figure-%281-3%29-figure-" style="border-collapse: collapse; width: 100%;"><tbody><tr><td class="align-center" style="width: 49.9383%;">Figure (1-3)

[![image-1703011682305.png](https://stanslegacy.com/uploads/images/gallery/2023-12/scaled-1680-/KS1IdCNzwsPJRslu-image-1703011682305.png)](https://stanslegacy.com/uploads/images/gallery/2023-12/KS1IdCNzwsPJRslu-image-1703011682305.png)

</td><td class="align-center" style="width: 49.9383%;">Figure (1-4)

[![image-1703011690241.png](https://stanslegacy.com/uploads/images/gallery/2023-12/scaled-1680-/BVSJKDz1yh7YR7m9-image-1703011690241.png)](https://stanslegacy.com/uploads/images/gallery/2023-12/BVSJKDz1yh7YR7m9-image-1703011690241.png)

</td></tr></tbody></table>

The value of the **Inductor** (C), the value of the **capacitor** (ER), and the pulse-frequency of the voltage being applied across the LC circuit determines the impedance of the LC circuit.

<p class="callout info">The impedance of an inductor and a capacitor in series, Z series is given by (Eq 1)  
</p>

[![image-1703012652433.png](https://stanslegacy.com/uploads/images/gallery/2023-12/scaled-1680-/5kijCBV9DAnEaHJ7-image-1703012652433.png)](https://stanslegacy.com/uploads/images/gallery/2023-12/5kijCBV9DAnEaHJ7-image-1703012652433.png)

Where:

[![image-1703012669666.png](https://stanslegacy.com/uploads/images/gallery/2023-12/scaled-1680-/WGRmcuSIYoItCgHP-image-1703012669666.png)](https://stanslegacy.com/uploads/images/gallery/2023-12/WGRmcuSIYoItCgHP-image-1703012669666.png)

<p class="callout info">The Resonant Frequency (F) of an LC circuit in series is given by (Eq 4)  
</p>

[![image-1703012692611.png](https://stanslegacy.com/uploads/images/gallery/2023-12/scaled-1680-/OG0MPPsrNVExMFqI-image-1703012692611.png)](https://stanslegacy.com/uploads/images/gallery/2023-12/OG0MPPsrNVExMFqI-image-1703012692611.png)

<p class="callout info">Ohm's Law for LC circuit in series is given by:</p>

[![image-1703012708035.png](https://stanslegacy.com/uploads/images/gallery/2023-12/scaled-1680-/YlXMelnpzpt0EBZg-image-1703012708035.png)](https://stanslegacy.com/uploads/images/gallery/2023-12/YlXMelnpzpt0EBZg-image-1703012708035.png)