Quick Answer
Calculate Hammerstad & Jensen Microstrip Effective Dielectric Constant
Calculator
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Find Engineering Solutions →Result Interpretation
Hammerstad & Jensen Microstrip Effective Dielectric Constant calculator computes Effective dielectric constant in dimensionless using the defined engineering formula and the input values provided. Effective dielectric constant is expressed in dimensionless. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Substrate relative permittivity = 4.4
- Ratio of substrate height to trace width = 0.5
Expected Result:
- Effective dielectric constant = 3.3425396041157
Engineering Interpretation:
Under the given input conditions, the calculated result is: Effective dielectric constant = 3.3425396041157 dimensionless.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
effective dielectric constant = (substrate relative permittivity + 1)/2 + (substrate relative permittivity - 1)/2 * pow(1 + 12 * ratio of substrate height to trace width, -0.5)Formula family: formula_pcb_pcb_microstrip_effective_dielectric_constant_calculator_hammerstad_jensen
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| er | Substrate relative permittivity | INPUT | Substrate relative permittivity |
| h_over_w | Ratio of substrate height to trace width | INPUT | Ratio of substrate height to trace width |
| result | Effective dielectric constant | OUTPUT | Effective dielectric constant |
Calculation Steps
- Enter the substrate relative permittivity in dimensionless.
- Enter the ratio of substrate height to trace width in dimensionless.
- Step 1: Compute effective dielectric constant.
- Read the effective dielectric constant (dimensionless) from the results.
Engineering Summary
Calculate Hammerstad & Jensen Microstrip Effective Dielectric Constant
Frequently Asked Questions
What does this calculator calculate?
The Hammerstad & Jensen Microstrip Effective Dielectric Constant calculator estimates Effective dielectric constant based on the input parameters you provide
Why is substrate relative permittivity important in this calculation?
substrate relative permittivity is used directly in the calculation of effective dielectric constant. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter substrate relative permittivity in dimensionless, the calculator uses it in the engineering formula to compute the output
How should I interpret the result effective dielectric constant?
The calculator outputs effective dielectric constant in dimensionless. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Substrate relative permittivity (dimensionless), Ratio of substrate height to trace width (dimensionless). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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