Rf Engineering

RF Microstrip Line Effective Dielectric Constant (Hammerstad & Jensen) calculator

RF Microstrip Line Effective Dielectric Constant (Hammerstad & Jensen) engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

The rf microstrip line effective dielectric constant (hammerstad & jensen) calculator computes effective dielectric constant from the input values you provide.

Calculator

Effective Dielectric Constant (dimensionless)
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Result Interpretation

RF Microstrip Line Effective Dielectric Constant (Hammerstad & Jensen) 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:

  • Width-to-Height Ratio = 2
  • Substrate Relative Permittivity = 4.4
  • Height-to-Width Ratio = 0.5

Expected Result:

  • Effective Dielectric Constant = 5.2706012398983

Engineering Interpretation:

Under the given input conditions, the calculated result is: Effective Dielectric Constant = 5.2706012398983 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 = 0.5 * (substrate relative permittivity + 1.0) + 0.5 * (substrate relative permittivity - 1.0) * pow(1.0 + 12.0 * height-to-width ratio, -0.5) + (substrate relative permittivity - 1.0) * pow(10.0 * height-to-width ratio + 1.0, -0.276) * pow((width-to-height ratio + 0.264) / (width-to-height ratio + 0.813), 0.335)

Effective Dielectric Constant.

Variables

SymbolLabelRoleDescription
w_over_h Width-to-Height Ratio INPUT Width-to-Height Ratio
e_r Substrate Relative Permittivity INPUT Substrate Relative Permittivity
h_over_w Height-to-Width Ratio INPUT Height-to-Width Ratio
result Effective Dielectric Constant OUTPUT Effective Dielectric Constant

Calculation Steps

  1. Enter the width-to-height ratio in dimensionless.
  2. Enter the substrate relative permittivity in dimensionless.
  3. Enter the height-to-width ratio in dimensionless.
  4. Step 1: Compute effective dielectric constant.
  5. Read the effective dielectric constant (dimensionless) from the results.

Frequently Asked Questions

What does this calculator calculate?

The RF Microstrip Line Effective Dielectric Constant (Hammerstad & Jensen) calculator estimates Effective Dielectric Constant based on the input parameters you provide

Why is width-to-height ratio important in this calculation?

width-to-height ratio 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 width-to-height ratio 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: Width-to-Height Ratio (dimensionless), Substrate Relative Permittivity (dimensionless), Height-to-Width Ratio (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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