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Resonating Frequency of Microstrip Antenna Formula

GoResonating Frequency of Equilateral Triangular Patch Formula

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The Resonant Frequency is the specific frequency at which an antenna naturally oscillates most efficiently. It maximizes electromagnetic wave interaction, crucial for optimal antenna performance. Check FAQs

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

f_r - Resonant Frequency?L_eff - Effective Length of Microstrip Patch?E_eff - Effective Dielectric Constant of Substrate?[c] - Light speed in vacuum?

Resonating Frequency of Microstrip Antenna Example

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Here is how the Resonating Frequency of Microstrip Antenna equation looks like with Values.

Here is how the Resonating Frequency of Microstrip Antenna equation looks like with Units.

Here is how the Resonating Frequency of Microstrip Antenna equation looks like.

2.3983 = \frac{3E+8}{2 \cdot 30.9043 \cdot \sqrt{4.0901}}

2.3983GHz = \frac{3E+8m/s}{2 \cdot 30.9043mm \cdot \sqrt{4.0901}}

2.3983 = \frac{3E+8}{2 \cdot 30.9043 \cdot \sqrt{4.0901}}

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Resonating Frequency of Microstrip Antenna Solution

Follow our step by step solution on how to calculate Resonating Frequency of Microstrip Antenna?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f r = \frac{[c]}{2 \cdot 30.9043mm \cdot \sqrt{4.0901}}

Next Step Substitute values of Constants

∴

f r = \frac{3E+8m/s}{2 \cdot 30.9043mm \cdot \sqrt{4.0901}}

Next Step Convert Units

∴

f r = \frac{3E+8m/s}{2 \cdot 0.0309m \cdot \sqrt{4.0901}}

Next Step Prepare to Evaluate

∴

f r = \frac{3E+8}{2 \cdot 0.0309 \cdot \sqrt{4.0901}}

Next Step Evaluate

∴

f r = 2398322940.07791Hz

Next Step Convert to Output's Unit

∴

f r = 2.39832294007791GHz

LAST Step Rounding Answer

∴

f r = 2.3983GHz

Resonating Frequency of Microstrip Antenna Formula Elements

Variables

Constants

Functions

Resonant Frequency

The Resonant Frequency is the specific frequency at which an antenna naturally oscillates most efficiently. It maximizes electromagnetic wave interaction, crucial for optimal antenna performance.

Symbol: f_r

Measurement: FrequencyUnit: GHz

Note: Value can be positive or negative.

Formulas to find Resonant Frequency

Effective Length of Microstrip Patch

The Effective Length of Microstrip Patch takes into account the physical length and the influence of the dielectric substrate on the propagation of electromagnetic waves.

Symbol: L_eff

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Length of Microstrip Patch

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

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 to find Resonant Frequency

Go Resonating Frequency of Equilateral Triangular Patch

f r = 2 \cdot \frac{[c]}{3 \cdot S tng \cdot \sqrt{E r}}

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 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)})

How to Evaluate Resonating Frequency of Microstrip Antenna?

Resonating Frequency of Microstrip Antenna evaluator uses Resonant Frequency = [c]/(2*Effective Length of Microstrip Patch*sqrt(Effective Dielectric Constant of Substrate)) to evaluate the Resonant Frequency, The Resonating Frequency of Microstrip Antenna refers to the specific frequency at which the antenna exhibits maximum efficiency in radiating or receiving electromagnetic signals. For a microstrip patch antenna, the resonant frequency is a crucial parameter that determines when the antenna is most responsive to the applied signal. Resonant Frequency is denoted by f_r symbol.

How to evaluate Resonating Frequency of Microstrip Antenna using this online evaluator? To use this online evaluator for Resonating Frequency of Microstrip Antenna, enter Effective Length of Microstrip Patch (L_eff) & Effective Dielectric Constant of Substrate (E_eff) and hit the calculate button.

FAQs on Resonating Frequency of Microstrip Antenna

What is the formula to find Resonating Frequency of Microstrip Antenna?

The formula of Resonating Frequency of Microstrip Antenna is expressed as Resonant Frequency = [c]/(2*Effective Length of Microstrip Patch*sqrt(Effective Dielectric Constant of Substrate)). Here is an example- 2.4E-9 = [c]/(2*0.03090426103*sqrt(4.09005704)).

How to calculate Resonating Frequency of Microstrip Antenna?

With Effective Length of Microstrip Patch (L_eff) & Effective Dielectric Constant of Substrate (E_eff) we can find Resonating Frequency of Microstrip Antenna using the formula - Resonant Frequency = [c]/(2*Effective Length of Microstrip Patch*sqrt(Effective Dielectric Constant of Substrate)). This formula also uses Light speed in vacuum constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Resonant Frequency?

Here are the different ways to Calculate Resonant Frequency-

Resonant Frequency=2*[c]/(3*Side Length of Equilateral Triangular Patch*sqrt(Dielectric Constant of Substrate))

Can the Resonating Frequency of Microstrip Antenna be negative?

Yes, the Resonating Frequency of Microstrip Antenna, measured in Frequency can be negative.

Which unit is used to measure Resonating Frequency of Microstrip Antenna?

Resonating Frequency of Microstrip Antenna is usually measured using the Gigahertz[GHz] for Frequency. Hertz[GHz], Petahertz[GHz], Terahertz[GHz] are the few other units in which Resonating Frequency of Microstrip Antenna can be measured.

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