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Width of Microstrip Patch Formula

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

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

W_p - Width of Microstrip Patch?f_res - Frequency?E_r - Dielectric Constant of Substrate?[c] - Light speed in vacuum?

Width of Microstrip Patch Example

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Here is how the Width of Microstrip Patch equation looks like with Values.

Here is how the Width of Microstrip Patch equation looks like with Units.

Here is how the Width of Microstrip Patch equation looks like.

38.01 = \frac{3E+8}{2 \cdot 2.4 \cdot (\sqrt{\frac{4.4 + 1}{2}})}

38.01mm = \frac{3E+8m/s}{2 \cdot 2.4GHz \cdot (\sqrt{\frac{4.4 + 1}{2}})}

38.01 = \frac{3E+8}{2 \cdot 2.4 \cdot (\sqrt{\frac{4.4 + 1}{2}})}

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Width of Microstrip Patch Solution

Follow our step by step solution on how to calculate Width of Microstrip Patch?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W p = \frac{[c]}{2 \cdot 2.4GHz \cdot (\sqrt{\frac{4.4 + 1}{2}})}

Next Step Substitute values of Constants

∴

W p = \frac{3E+8m/s}{2 \cdot 2.4GHz \cdot (\sqrt{\frac{4.4 + 1}{2}})}

Next Step Convert Units

∴

W p = \frac{3E+8m/s}{2 \cdot 2.4E+9Hz \cdot (\sqrt{\frac{4.4 + 1}{2}})}

Next Step Prepare to Evaluate

∴

W p = \frac{3E+8}{2 \cdot 2.4E+9 \cdot (\sqrt{\frac{4.4 + 1}{2}})}

Next Step Evaluate

∴

W p = 0.0380099749575278m

Next Step Convert to Output's Unit

∴

W p = 38.0099749575278mm

LAST Step Rounding Answer

∴

W p = 38.01mm

Width of Microstrip Patch Formula Elements

Variables

Constants

Functions

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

Frequency

Frequency refers to the number of waves that pass a fixed point in unit time.

Symbol: f_res

Measurement: FrequencyUnit: GHz

Note: Value should be greater than 0.

Formulas to find Frequency

Dielectric Constant of Substrate

The Dielectric Constant of Substrate measures the amount that the material's electric field is lowered in relation to its value in a vacuum.

Symbol: E_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Dielectric Constant of Substrate

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Microstrip Antenna category

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 Length Extention of Patch

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)})

Go Resonating Frequency of Microstrip Antenna

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

How to Evaluate Width of Microstrip Patch?

Width of Microstrip Patch evaluator uses Width of Microstrip Patch = [c]/(2*Frequency*(sqrt((Dielectric Constant of Substrate+1)/2))) to evaluate the Width of Microstrip Patch, The Width of Microstrip Patch formula is derived from the microstrip transmission line theory and is used to determine the physical width of the rectangular patch that forms the radiating element of the antenna. Width of Microstrip Patch is denoted by W_p symbol.

How to evaluate Width of Microstrip Patch using this online evaluator? To use this online evaluator for Width of Microstrip Patch, enter Frequency (f_res) & Dielectric Constant of Substrate (E_r) and hit the calculate button.

FAQs on Width of Microstrip Patch

What is the formula to find Width of Microstrip Patch?

The formula of Width of Microstrip Patch is expressed as Width of Microstrip Patch = [c]/(2*Frequency*(sqrt((Dielectric Constant of Substrate+1)/2))). Here is an example- 38009.97 = [c]/(2*2400000000*(sqrt((4.4+1)/2))).

How to calculate Width of Microstrip Patch?

With Frequency (f_res) & Dielectric Constant of Substrate (E_r) we can find Width of Microstrip Patch using the formula - Width of Microstrip Patch = [c]/(2*Frequency*(sqrt((Dielectric Constant of Substrate+1)/2))). This formula also uses Light speed in vacuum constant(s) and Square Root (sqrt) function(s).

Can the Width of Microstrip Patch be negative?

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

Which unit is used to measure Width of Microstrip Patch?

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

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Width of Microstrip Patch Formula

Width of Microstrip Patch Example

Width of Microstrip Patch Solution

Width of Microstrip Patch Formula Elements

Other formulas in Microstrip Antenna category

How to Evaluate Width of Microstrip Patch?

FAQs on Width of Microstrip Patch

Variable Name