Characteristic Impedance Formula:
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Definition: This calculator determines the characteristic impedance of a parallel plate transmission line based on material properties and physical dimensions.
Purpose: It helps electrical engineers and RF designers calculate impedance for PCB traces, waveguide designs, and transmission line systems.
The calculator uses the formula:
Where:
Explanation: The formula calculates the ratio of voltage to current waves propagating along the transmission line.
Details: Proper impedance matching minimizes signal reflections, ensures maximum power transfer, and maintains signal integrity in high-frequency circuits.
Tips: Enter the material properties (default values for vacuum/air) and physical dimensions. All values must be > 0.
Q1: What are typical values for μ and ε?
A: For vacuum/air: μ₀ = 1.25663706×10⁻⁶ H/m, ε₀ = 8.85418782×10⁻¹² F/m. Other materials have relative values (μᵣ, εᵣ) multiplied by these.
Q2: How does plate separation affect impedance?
A: Impedance increases with greater separation (d) and decreases with wider plates (w).
Q3: When would I use this calculation?
A: For designing PCB traces, RF components, or any parallel conductor transmission line system.
Q4: What's the range of typical impedance values?
A: Common values range from 20Ω to 150Ω depending on application and materials.
Q5: Does this account for conductor thickness?
A: This simplified model assumes thin conductors. For thick conductors, additional corrections are needed.