Field Strength of Space Wave Calculator

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Wave Propagation

Antenna Theory Parameters

Special Antennas

✖The Electric field strength is a quantitative expression of the intensity of an electric field at a particular location. This is electric field emitted from transmitting antenna.ⓘ Electric Field [E₀]			+10% -10%
✖The Height of receiving antenna is the height at which receives radiofrequency radiation and converts it into electric currents in an electric circuit connected to the antenna.ⓘ Height of Receiving Antenna [h_r]			+10% -10%
✖The Height of transmitting antenna is defined as the height of the radiation center of the antenna above the average terrain.ⓘ Height of Transmitting Antenna [h_t]			+10% -10%
✖Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ Wavelength [λ]			+10% -10%
✖Antenna Distance refers tot he distance by which two antenna's are separated.ⓘ Antenna Distance [D_A]			+10% -10%

✖The Field strength of Space Waves is given by the inverse distance law. However, due to most of the transmitters being closer to the ground they use either direct or ground reflected propagation.ⓘ Field Strength of Space Wave [E]

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Formula

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Field Strength of Space Wave

Formula

`"E" = (4*pi*"E"_{"0"}*"h"_{"r"}*"h"_{"t"})/("λ"*"D"_{"A"}^2)`

Example

`"0.001953V/m"=(4*pi*"9990V/m"*"70m"*"32m")/("90m"*("40000m")^2)`

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Field Strength of Space Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Field Strength = (4*pi*Electric Field*Height of Receiving Antenna*Height of Transmitting Antenna)/(Wavelength*Antenna Distance^2)
E = (4*pi*E₀*h_r*h_t)/(λ*D_A^2)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Field Strength - (Measured in Volt per Meter) - The Field strength of Space Waves is given by the inverse distance law. However, due to most of the transmitters being closer to the ground they use either direct or ground reflected propagation.
Electric Field - (Measured in Volt per Meter) - The Electric field strength is a quantitative expression of the intensity of an electric field at a particular location. This is electric field emitted from transmitting antenna.
Height of Receiving Antenna - (Measured in Meter) - The Height of receiving antenna is the height at which receives radiofrequency radiation and converts it into electric currents in an electric circuit connected to the antenna.
Height of Transmitting Antenna - (Measured in Meter) - The Height of transmitting antenna is defined as the height of the radiation center of the antenna above the average terrain.
Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Antenna Distance - (Measured in Meter) - Antenna Distance refers tot he distance by which two antenna's are separated.

STEP 1: Convert Input(s) to Base Unit

Electric Field: 9990 Volt per Meter --> 9990 Volt per Meter No Conversion Required
Height of Receiving Antenna: 70 Meter --> 70 Meter No Conversion Required
Height of Transmitting Antenna: 32 Meter --> 32 Meter No Conversion Required
Wavelength: 90 Meter --> 90 Meter No Conversion Required
Antenna Distance: 40000 Meter --> 40000 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (4*pi*E₀*h_r*h_t)/(λ*D_A^2) --> (4*pi*9990*70*32)/(90*40000^2)

Evaluating ... ...

E = 0.00195281399347142

STEP 3: Convert Result to Output's Unit

0.00195281399347142 Volt per Meter --> No Conversion Required

FINAL ANSWER

0.00195281399347142 ≈ 0.001953 Volt per Meter <-- Field Strength

(Calculation completed in 00.020 seconds)

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< 16 Wave Propagation Calculators

Field Strength of Space Wave

Go Field Strength = (4*pi*Electric Field*Height of Receiving Antenna*Height of Transmitting Antenna)/(Wavelength*Antenna Distance^2)

Skin Depth or Depth of Penetration

Go Skin Depth = 1/Conductivity of Antenna*sqrt(pi*Relative Permeability*[Permeability-vacuum]*Frequency of Conductor Loop)

Phase Difference between Radio Waves

Go Phase Difference = 4*pi*Height of Receiving Antenna*Height of Transmitting Antenna/(Antenna Distance*Wavelength)

Height of Layer

Go Ionospheric Layer Height = Skip Distance/(2*sqrt((Maximum Usable Frequency^2/Critical Frequency^2)-1))

Maximum Usable Frequency

Go Maximum Usable Frequency = Critical Frequency*sqrt(1+(Skip Distance/(2*Ionospheric Layer Height))^2)

Propagation Distance

Go Skip Distance = 2*Ionospheric Layer Height*sqrt((Maximum Usable Frequency^2/Critical Frequency^2)-1)

Line of Sight

Go Line of Sight = 3577*(sqrt(Height of Receiving Antenna)+sqrt(Height of Transmitting Antenna))

Skip Distance

Go Skip Distance = 2*Reflection Height*sqrt((Maximum Usable Frequency/Critical Frequency)^2-1)

Refractive Index of Ionosphere

Go Refractive Index = sqrt(1-((81*Electron Density)/Operating Frequency^2))

Maximum Usable Frequency in F-region

Go Maximum Usable Frequency = Critical Frequency/cos(Angle of Incidence)

Normal of Reflecting Plane

Go Normal of Reflecting Plane = Wavelength/cos(Theta)

Wavelength of Plane

Go Wavelength = Normal of Reflecting Plane*cos(Theta)

Parallel of Reflecting Plane

Go Parallel of Reflecting = Wavelength/sin(Theta)

Electron Density

Go Electron Density = ((1-Refractive Index^2)*Operating Frequency^2)/81

Critical Frequency of Ionosphere

Go Critical Frequency of Ionosphere = 9*sqrt(Electron Density)

Antenna Beamwidth

Go Antenna Beamwidth = (70*Wavelength)/Antenna Diameter

Field Strength of Space Wave Formula

Field Strength = (4*pi*Electric Field*Height of Receiving Antenna*Height of Transmitting Antenna)/(Wavelength*Antenna Distance^2)
E = (4*pi*E₀*h_r*h_t)/(λ*D_A^2)

What are the factors affecting field strength?

The curvature of the Earth is also an important factor governing space wave propagation. The distance between the antennas determines the type of space wave propagation. The presence of obstacles in the path of the waves results in the loss of energy of the waves.

What is the field strength of surface of flat earth?

The field strength E_o of the wave at a unit distance from transmitting antenna depends on both on the power radiated by the transmitting antenna & directivity in vertical and horizontal planes. The overall field strength is calculated from this. The field strength of the surface wave of flat earth is given by E=AE_o/d.

How to Calculate Field Strength of Space Wave?

Field Strength of Space Wave calculator uses Field Strength = (4*pi*Electric Field*Height of Receiving Antenna*Height of Transmitting Antenna)/(Wavelength*Antenna Distance^2) to calculate the Field Strength, The Field Strength of space wave formula is given by the inverse distance law. However, due to most of the transmitters being closer to the ground they use either direct or ground reflected propagation. Field Strength is denoted by E symbol.

How to calculate Field Strength of Space Wave using this online calculator? To use this online calculator for Field Strength of Space Wave, enter Electric Field (E₀), Height of Receiving Antenna (h_r), Height of Transmitting Antenna (h_t), Wavelength (λ) & Antenna Distance (D_A) and hit the calculate button. Here is how the Field Strength of Space Wave calculation can be explained with given input values -> 0.001953 = (4*pi*9990*70*32)/(90*40000^2).

FAQ

What is Field Strength of Space Wave?

The Field Strength of space wave formula is given by the inverse distance law. However, due to most of the transmitters being closer to the ground they use either direct or ground reflected propagation and is represented as E = (4*pi*E₀*h_r*h_t)/(λ*D_A^2) or Field Strength = (4*pi*Electric Field*Height of Receiving Antenna*Height of Transmitting Antenna)/(Wavelength*Antenna Distance^2). The Electric field strength is a quantitative expression of the intensity of an electric field at a particular location. This is electric field emitted from transmitting antenna, The Height of receiving antenna is the height at which receives radiofrequency radiation and converts it into electric currents in an electric circuit connected to the antenna, The Height of transmitting antenna is defined as the height of the radiation center of the antenna above the average terrain, Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire & Antenna Distance refers tot he distance by which two antenna's are separated.

How to calculate Field Strength of Space Wave?

The Field Strength of space wave formula is given by the inverse distance law. However, due to most of the transmitters being closer to the ground they use either direct or ground reflected propagation is calculated using Field Strength = (4*pi*Electric Field*Height of Receiving Antenna*Height of Transmitting Antenna)/(Wavelength*Antenna Distance^2). To calculate Field Strength of Space Wave, you need Electric Field (E₀), Height of Receiving Antenna (h_r), Height of Transmitting Antenna (h_t), Wavelength (λ) & Antenna Distance (D_A). With our tool, you need to enter the respective value for Electric Field, Height of Receiving Antenna, Height of Transmitting Antenna, Wavelength & Antenna Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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