Height of Transmitting Antenna Calculator

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Antenna Theory Parameters

Special Antennas

Wave Propagation

✖Strength of ground wave propagation to achieve an optimal propagating result with a surface wave, you must use vertical polarization.ⓘ Strength of Ground Wave Propagation [E_gnd]			+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%
✖Antenna current is the current in each part of the antenna that flows in the same direction.ⓘ Antenna Current [I_a]			+10% -10%
✖Height of receiver is the actual height of the receiver required.ⓘ Height of Receiver [h_r]			+10% -10%

✖Height of transmitter is the actual height of the transmitter required.ⓘ Height of Transmitting Antenna [h_t]

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Formula

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Height of Transmitting Antenna

Formula

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

Example

`"10.20002m"=("400V/m"*"90m"*"1200m")/(120*pi*"2246.89A"*"5m")`

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Download Antenna Theory Parameters Formulas PDF

Height of Transmitting Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Height of Transmitter - (Measured in Meter) - Height of transmitter is the actual height of the transmitter required.
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.
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.
Antenna Current - (Measured in Ampere) - Antenna current is the current in each part of the antenna that flows in the same direction.
Height of Receiver - (Measured in Meter) - Height of receiver is the actual height of the receiver required.

STEP 1: Convert Input(s) to Base Unit

Strength of Ground Wave Propagation: 400 Volt per Meter --> 400 Volt per Meter No Conversion Required
Wavelength: 90 Meter --> 90 Meter No Conversion Required
Transmitter Receiver Distance: 1200 Meter --> 1200 Meter No Conversion Required
Antenna Current: 2246.89 Ampere --> 2246.89 Ampere No Conversion Required
Height of Receiver: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_t = (E_gnd*λ*D)/(120*pi*I_a*h_r) --> (400*90*1200)/(120*pi*2246.89*5)

Evaluating ... ...

h_t = 10.200015045344

STEP 3: Convert Result to Output's Unit

10.200015045344 Meter --> No Conversion Required

FINAL ANSWER

10.200015045344 ≈ 10.20002 Meter <-- Height of Transmitter

(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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< 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)

Strength of Ground Wave

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

Antenna Current

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

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

Power Per Unit Bandwidth

Go Power per Unit = Thermal Resistance*Resistor Absolute Temperature

Total Antenna Resistance

Go Total Antenna Resistance = Ohmic Resistance+Radiation Resistance

Radiation Resistance

Go Radiation Resistance = Total Antenna Resistance-Ohmic Resistance

Ohmic Resistance

Go Ohmic Resistance = Total Antenna 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)

Antenna Efficiency

Go Antenna Efficiency = Radiated Power/Total Input Power

Total Input Power

Go Total Input Power = Radiated Power/Antenna Efficiency

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)

Height of Transmitting Antenna Formula

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

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 Height of Transmitting Antenna?

Height of Transmitting Antenna calculator uses Height of Transmitter = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Antenna Current*Height of Receiver) to calculate the Height of Transmitter, The Height Of Transmitting Antenna formula is defined as the minimum height of the antenna required to transmit a signal of a certain frequency. Height of Transmitter is denoted by h_t symbol.

How to calculate Height of Transmitting Antenna using this online calculator? To use this online calculator for Height of Transmitting Antenna, enter Strength of Ground Wave Propagation (E_gnd), Wavelength (λ), Transmitter Receiver Distance (D), Antenna Current (I_a) & Height of Receiver (h_r) and hit the calculate button. Here is how the Height of Transmitting Antenna calculation can be explained with given input values -> 10.20002 = (400*90*1200)/(120*pi*2246.89*5).

FAQ

What is Height of Transmitting Antenna?

The Height Of Transmitting Antenna formula is defined as the minimum height of the antenna required to transmit a signal of a certain frequency and is represented as h_t = (E_gnd*λ*D)/(120*pi*I_a*h_r) or Height of Transmitter = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Antenna Current*Height of Receiver). Strength of ground wave propagation to achieve an optimal propagating result with a surface wave, you must use vertical polarization, 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, Antenna current is the current in each part of the antenna that flows in the same direction & Height of receiver is the actual height of the receiver required.

How to calculate Height of Transmitting Antenna?

The Height Of Transmitting Antenna formula is defined as the minimum height of the antenna required to transmit a signal of a certain frequency is calculated using Height of Transmitter = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Antenna Current*Height of Receiver). To calculate Height of Transmitting Antenna, you need Strength of Ground Wave Propagation (E_gnd), Wavelength (λ), Transmitter Receiver Distance (D), Antenna Current (I_a) & Height of Receiver (h_r). With our tool, you need to enter the respective value for Strength of Ground Wave Propagation, Wavelength, Transmitter Receiver Distance, Antenna Current & Height of Receiver 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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