For matching your antenna impedance using an **L-network** at 7.2 MHz with two different power ratings (100 watts and 1500 watts), we’ll calculate the necessary component values for the series capacitor and the parallel inductor. Additionally, we'll determine the appropriate voltage and current ratings for these components based on the power levels.<br>
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### Summary of Known Values:<br>
- **Antenna impedance (real part)**: \( 79.54 \, \Omega \)
- **Target impedance**: \( 50 \, \Omega \)
- **Frequency**: 7.2 MHz
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### Step 1: **Calculate the Series Capacitor** (\(C\))
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The formula for the series capacitor in an L-network is:<br>
<img src='match_cap.png'><br>
where:
- \( f = 7.2 \times 10^6 \, \text{Hz} \)
- \( R_{\text{antenna}} = 79.54 \, \Omega \)
- \( R_{\text{coax}} = 50 \, \Omega \)
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### Step 2: **Calculate the Parallel Inductor** (\(L\))
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The formula for the parallel inductor is:<br>
<img src='match_inductor.png'><br>
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### Step 3: **Calculate Voltage and Current Ratings**
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Power handling is crucial, especially for 100 watts and 1500 watts. To estimate the voltage and current ratings, we use the following:
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- **Voltage across the components**:<br>
<img src='match_voltage.png'><br>
- **Current through the components**:<br>
<img src='match_current.png'><br>
Where \(P\) is the transmitter power, and \(R_{\text{coax}} = 50 \, \Omega\).
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### Calculations and Table:<br>
<img src='match_table.png'><br>
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### Component Ratings:
- **Capacitor**: Choose capacitors rated for at least **150 V** for 100 watts and **600 V** for 1500 watts.
- **Inductor**: Use inductors with a current rating of at least **3 A** for 100 watts and **12 A** for 1500 watts.
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### Notes:
- These values are based on ideal assumptions. Actual performance will depend on factors such as component quality, Q factor of the inductor, and circuit losses.
- You can purchase **mica capacitors** or **ceramic capacitors** rated for high RF power, and air-core inductors are recommended for high-power applications.
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Let me know if you'd like any additional details!