Strength of Ground Wave Calculator

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Antenna Theory Parameters

Special Antennas

Wave Propagation

✖Height of transmitter is the actual height of the transmitter required.ⓘ Height of Transmitter [h_t]			+10% -10%
✖Height of receiver is the actual height of the receiver required.ⓘ Height of Receiver [h_r]			+10% -10%
✖Antenna current is the current in each part of the antenna that flows in the same direction.ⓘ Antenna Current [I_a]			+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%
✖Transmitter Receiver Distance is defined as the total distance by which receiver and transmitter of an antenna are separated.ⓘ Transmitter Receiver Distance [D]			+10% -10%

✖Strength of ground wave propagation to achieve an optimal propagating result with a surface wave, you must use vertical polarization.ⓘ Strength of Ground Wave [E_gnd]

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Formula

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Strength of Ground Wave

Formula

`"E"_{"gnd"} = (120*pi*"h"_{"t"}*"h"_{"r"}*"I"_{"a"})/("λ"*"D")`

Example

`"399.9994V/m"=(120*pi*"10.2m"*"5m"*"2246.89A")/("90m"*"1200m")`

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Download Antenna Theory Parameters Formulas PDF

Strength of Ground Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strength of Ground Wave Propagation = (120*pi*Height of Transmitter*Height of Receiver*Antenna Current)/(Wavelength*Transmitter Receiver Distance)
E_gnd = (120*pi*h_t*h_r*I_a)/(λ*D)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Strength of Ground Wave Propagation - (Measured in Volt per Meter) - Strength of ground wave propagation to achieve an optimal propagating result with a surface wave, you must use vertical polarization.
Height of Transmitter - (Measured in Meter) - Height of transmitter is the actual height of the transmitter required.
Height of Receiver - (Measured in Meter) - Height of receiver is the actual height of the receiver required.
Antenna Current - (Measured in Ampere) - Antenna current is the current in each part of the antenna that flows in the same direction.
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.
Transmitter Receiver Distance - (Measured in Meter) - Transmitter Receiver Distance is defined as the total distance by which receiver and transmitter of an antenna are separated.

STEP 1: Convert Input(s) to Base Unit

Height of Transmitter: 10.2 Meter --> 10.2 Meter No Conversion Required
Height of Receiver: 5 Meter --> 5 Meter No Conversion Required
Antenna Current: 2246.89 Ampere --> 2246.89 Ampere No Conversion Required
Wavelength: 90 Meter --> 90 Meter No Conversion Required
Transmitter Receiver Distance: 1200 Meter --> 1200 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_gnd = (120*pi*h_t*h_r*I_a)/(λ*D) --> (120*pi*10.2*5*2246.89)/(90*1200)

Evaluating ... ...

E_gnd = 399.999409987381

STEP 3: Convert Result to Output's Unit

399.999409987381 Volt per Meter --> No Conversion Required

FINAL ANSWER

399.999409987381 ≈ 399.9994 Volt per Meter <-- Strength of Ground Wave Propagation

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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Birsa Institute of Technology (BIT), Sindri

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< 24 Antenna Theory Parameters Calculators

Distance between Transmitting and Receiving Point

Go Transmitter Receiver Distance = (Antenna Current*120*pi*Height of Transmitter*Height of Receiver)/(Strength of Ground Wave Propagation*Wavelength)

Height of Transmitting Antenna

Go Height of Transmitter = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Antenna Current*Height of Receiver)

Height of Receiving Antenna

Go Height of Receiver = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Height of Transmitter*Antenna Current)

Antenna Current

Go Antenna Current = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Height of Transmitter*Height of Receiver)

Strength of Ground Wave

Go Strength of Ground Wave Propagation = (120*pi*Height of Transmitter*Height of Receiver*Antenna Current)/(Wavelength*Transmitter Receiver Distance)

Friis Formula

Go Power at Receiving Antenna = Transmitting Power*Gain of Receiving Antenna*Gain of Transmitting Antenna*Wavelength^2/(4*3.14*Transmitter Receiver Distance)^2

Power Density of Antenna

Go Power Density of Antenna = (Total Input Power*Antenna Gain)/(4*pi*Transmitter Receiver Distance)

Effective Area of Antenna

Go Effective Area Antenna = (Thermal Resistance*Incremental Temperature)/Power Density of Antenna

Noise Temperature of Antenna

Go Antenna Temperature = (Power Density of Antenna)/(Thermal Resistance*Bandwidth)

Total Power of Antenna

Go Total Power of Antenna = Thermal Resistance*Antenna Temperature*Bandwidth

Radiation Intensity

Go Radiation Intensity = Isotropic Radiation Intensity*Directivity of Antenna

Average Radiation Intensity

Go Average Radiation Intensity = Radiation Intensity/Directivity of Antenna

Directivity of Antenna

Go Directivity of Antenna = Radiation Intensity/Average Radiation Intensity

Radiation Resistance

Go Radiation Resistance = Total Antenna Resistance-Ohmic Resistance

Ohmic Resistance

Go Ohmic Resistance = Total Antenna Resistance-Radiation Resistance

Power Per Unit Bandwidth

Go Power per Unit = Thermal Resistance*Resistor Absolute Temperature

Total Antenna Resistance

Go Total Antenna Resistance = Ohmic Resistance+Radiation Resistance

Antenna Gain

Go Antenna Gain = Radiation Intensity/Isotropic Radiation Intensity

Length of Binomial Array

Go Length of Binomial Array = (No of Element-1)*Wavelength/2

Isotropic Radiation Intensity

Go Isotropic Radiation Intensity = Radiated Power/(4*pi)

Total Input Power

Go Total Input Power = Radiated Power/Antenna Efficiency

Antenna Efficiency

Go Antenna Efficiency = Radiated Power/Total Input Power

Duct Height

Go Duct Height = (Maximum Duct Wavelength/0.014)^(2/3)

Maximum Duct Wavelength

Go Maximum Duct Wavelength = 0.014*Duct Height^(3/2)

Strength of Ground Wave Formula

Strength of Ground Wave Propagation = (120*pi*Height of Transmitter*Height of Receiver*Antenna Current)/(Wavelength*Transmitter Receiver Distance)
E_gnd = (120*pi*h_t*h_r*I_a)/(λ*D)

What is range of Ground Wave Propogation?

The ground wave is the preferred propagation type for long distance communication using frequencies below 3 MHz (the earth behaves as a conductor for all frequencies below 5 MHz). The ground wave is also used for short distance communications using frequencies between 3 and 30 MHz.

How to Calculate Strength of Ground Wave?

Strength of Ground Wave calculator uses Strength of Ground Wave Propagation = (120*pi*Height of Transmitter*Height of Receiver*Antenna Current)/(Wavelength*Transmitter Receiver Distance) to calculate the Strength of Ground Wave Propagation, The Strength of Ground Wave formula is defined as a method of radio wave propagation that uses the area between the surface of the earth and the ionosphere for transmission. Strength of Ground Wave Propagation is denoted by E_gnd symbol.

How to calculate Strength of Ground Wave using this online calculator? To use this online calculator for Strength of Ground Wave, enter Height of Transmitter (h_t), Height of Receiver (h_r), Antenna Current (I_a), Wavelength (λ) & Transmitter Receiver Distance (D) and hit the calculate button. Here is how the Strength of Ground Wave calculation can be explained with given input values -> 399.9994 = (120*pi*10.2*5*2246.89)/(90*1200).

FAQ

What is Strength of Ground Wave?

The Strength of Ground Wave formula is defined as a method of radio wave propagation that uses the area between the surface of the earth and the ionosphere for transmission and is represented as E_gnd = (120*pi*h_t*h_r*I_a)/(λ*D) or Strength of Ground Wave Propagation = (120*pi*Height of Transmitter*Height of Receiver*Antenna Current)/(Wavelength*Transmitter Receiver Distance). Height of transmitter is the actual height of the transmitter required, Height of receiver is the actual height of the receiver required, Antenna current is the current in each part of the antenna that flows in the same direction, Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire & Transmitter Receiver Distance is defined as the total distance by which receiver and transmitter of an antenna are separated.

How to calculate Strength of Ground Wave?

The Strength of Ground Wave formula is defined as a method of radio wave propagation that uses the area between the surface of the earth and the ionosphere for transmission is calculated using Strength of Ground Wave Propagation = (120*pi*Height of Transmitter*Height of Receiver*Antenna Current)/(Wavelength*Transmitter Receiver Distance). To calculate Strength of Ground Wave, you need Height of Transmitter (h_t), Height of Receiver (h_r), Antenna Current (I_a), Wavelength (λ) & Transmitter Receiver Distance (D). With our tool, you need to enter the respective value for Height of Transmitter, Height of Receiver, Antenna Current, Wavelength & Transmitter Receiver 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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