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Length Extention of Patch Formula

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Length Extension of Microstrip Patch refers to a modification or adjustment made to the physical length of the patch. Check FAQs

ΔL = 0.412 \cdot h \cdot (\frac{(E eff + 0.3) \cdot (\frac{W p}{h} + 0.264)}{(E eff - 0.264) \cdot (\frac{W p}{h} + 0.8)})

ΔL - Length Extension of Microstrip Patch?h - Thickness of the Substrate?E_eff - Effective Dielectric Constant of Substrate?W_p - Width of Microstrip Patch?

Length Extention of Patch Example

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Here is how the Length Extention of Patch equation looks like with Values.

Here is how the Length Extention of Patch equation looks like with Units.

Here is how the Length Extention of Patch equation looks like.

0.7263 = 0.412 \cdot 1.57 \cdot (\frac{(4.0901 + 0.3) \cdot (\frac{38.01}{1.57} + 0.264)}{(4.0901 - 0.264) \cdot (\frac{38.01}{1.57} + 0.8)})

0.7263mm = 0.412 \cdot 1.57mm \cdot (\frac{(4.0901 + 0.3) \cdot (\frac{38.01mm}{1.57mm} + 0.264)}{(4.0901 - 0.264) \cdot (\frac{38.01mm}{1.57mm} + 0.8)})

0.7263 = 0.412 \cdot 1.57 \cdot (\frac{(4.0901 + 0.3) \cdot (\frac{38.01}{1.57} + 0.264)}{(4.0901 - 0.264) \cdot (\frac{38.01}{1.57} + 0.8)})

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Length Extention of Patch Solution

Follow our step by step solution on how to calculate Length Extention of Patch?

FIRST Step Consider the formula

ΔL = 0.412 \cdot h \cdot (\frac{(E eff + 0.3) \cdot (\frac{W p}{h} + 0.264)}{(E eff - 0.264) \cdot (\frac{W p}{h} + 0.8)})

Next Step Substitute values of Variables

∴

ΔL = 0.412 \cdot 1.57mm \cdot (\frac{(4.0901 + 0.3) \cdot (\frac{38.01mm}{1.57mm} + 0.264)}{(4.0901 - 0.264) \cdot (\frac{38.01mm}{1.57mm} + 0.8)})

Next Step Convert Units

∴

ΔL = 0.412 \cdot 0.0016m \cdot (\frac{(4.0901 + 0.3) \cdot (\frac{0.038m}{0.0016m} + 0.264)}{(4.0901 - 0.264) \cdot (\frac{0.038m}{0.0016m} + 0.8)})

Next Step Prepare to Evaluate

∴

ΔL = 0.412 \cdot 0.0016 \cdot (\frac{(4.0901 + 0.3) \cdot (\frac{0.038}{0.0016} + 0.264)}{(4.0901 - 0.264) \cdot (\frac{0.038}{0.0016} + 0.8)})

Next Step Evaluate

∴

ΔL = 0.00072628475428001m

Next Step Convert to Output's Unit

∴

ΔL = 0.72628475428001mm

LAST Step Rounding Answer

∴

ΔL = 0.7263mm

Length Extention of Patch Formula Elements

Variables

Length Extension of Microstrip Patch

Length Extension of Microstrip Patch refers to a modification or adjustment made to the physical length of the patch.

Symbol: ΔL

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length Extension of Microstrip Patch

Thickness of the Substrate

The thickness of the Substrate refers to the thickness of the dielectric substrate on which the microstrip antenna is fabricated.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of the Substrate

Effective Dielectric Constant of Substrate

The Effective Dielectric Constant of Substrate also known as the effective relative permittivity is a concept used in the analysis and design of microstrip and other planar antennas.

Symbol: E_eff

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Effective Dielectric Constant of Substrate

Width of Microstrip Patch

The Width of Microstrip Patch antenna plays a critical role in determining its electrical characteristics and performance.

Symbol: W_p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Microstrip Patch

Other formulas in Microstrip Antenna category

Go Width of Microstrip Patch

W p = \frac{[c]}{2 \cdot f res \cdot (\sqrt{\frac{E r + 1}{2}})}

Go Effective Dielectric Constant of Substrate

E eff = \frac{E r + 1}{2} + (\frac{E r - 1}{2}) \cdot (\frac{1}{\sqrt{1 + 12 \cdot (\frac{h}{W p})}})

Go Effective Length of Patch

L eff = \frac{[c]}{2 \cdot f res \cdot (\sqrt{E eff})}

Go Resonating Frequency of Microstrip Antenna

f r = \frac{[c]}{2 \cdot L eff \cdot \sqrt{E eff}}

How to Evaluate Length Extention of Patch?

Length Extention of Patch evaluator uses Length Extension of Microstrip Patch = 0.412*Thickness of the Substrate*(((Effective Dielectric Constant of Substrate+0.3)*(Width of Microstrip Patch/Thickness of the Substrate+0.264))/((Effective Dielectric Constant of Substrate-0.264)*(Width of Microstrip Patch/Thickness of the Substrate+0.8))) to evaluate the Length Extension of Microstrip Patch, The Length Extention of Patch formula is refers to the deliberate modification or adjustment made to the physical length of the patch element in order to achieve specific design goals and improve the antenna's performance. Length Extension of Microstrip Patch is denoted by ΔL symbol.

How to evaluate Length Extention of Patch using this online evaluator? To use this online evaluator for Length Extention of Patch, enter Thickness of the Substrate (h), Effective Dielectric Constant of Substrate (E_eff) & Width of Microstrip Patch (W_p) and hit the calculate button.

FAQs on Length Extention of Patch

What is the formula to find Length Extention of Patch?

The formula of Length Extention of Patch is expressed as Length Extension of Microstrip Patch = 0.412*Thickness of the Substrate*(((Effective Dielectric Constant of Substrate+0.3)*(Width of Microstrip Patch/Thickness of the Substrate+0.264))/((Effective Dielectric Constant of Substrate-0.264)*(Width of Microstrip Patch/Thickness of the Substrate+0.8))). Here is an example- 726.2848 = 0.412*0.00157*(((4.09005704+0.3)*(0.03801/0.00157+0.264))/((4.09005704-0.264)*(0.03801/0.00157+0.8))).

How to calculate Length Extention of Patch?

With Thickness of the Substrate (h), Effective Dielectric Constant of Substrate (E_eff) & Width of Microstrip Patch (W_p) we can find Length Extention of Patch using the formula - Length Extension of Microstrip Patch = 0.412*Thickness of the Substrate*(((Effective Dielectric Constant of Substrate+0.3)*(Width of Microstrip Patch/Thickness of the Substrate+0.264))/((Effective Dielectric Constant of Substrate-0.264)*(Width of Microstrip Patch/Thickness of the Substrate+0.8))).

Can the Length Extention of Patch be negative?

No, the Length Extention of Patch, measured in Length cannot be negative.

Which unit is used to measure Length Extention of Patch?

Length Extention of Patch is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length Extention of Patch can be measured.

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Length Extention of Patch Formula

Length Extention of Patch Example

Length Extention of Patch Solution

Length Extention of Patch Formula Elements

Other formulas in Microstrip Antenna category

How to Evaluate Length Extention of Patch?

FAQs on Length Extention of Patch

Variable Name