Distance between Transmitting and Receiving Point Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transmitter Receiver Distance = (Antenna Current*120*pi*Height of Transmitter*Height of Receiver)/(Strength of Ground Wave Propagation*Wavelength)
D = (Ia*120*pi*ht*hr)/(Egnd*λ)
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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 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.
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.
STEP 1: Convert Input(s) to Base Unit
Antenna Current: 2246.89 Ampere --> 2246.89 Ampere No Conversion Required
Height of Transmitter: 10.2 Meter --> 10.2 Meter No Conversion Required
Height of Receiver: 5 Meter --> 5 Meter No Conversion Required
Strength of Ground Wave Propagation: 400 Volt per Meter --> 400 Volt per Meter No Conversion Required
Wavelength: 90 Meter --> 90 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = (Ia*120*pi*ht*hr)/(Egnd*λ) --> (2246.89*120*pi*10.2*5)/(400*90)
Evaluating ... ...
D = 1199.99822996214
STEP 3: Convert Result to Output's Unit
1199.99822996214 Meter --> No Conversion Required
FINAL ANSWER
1199.99822996214 1199.998 Meter <-- Transmitter Receiver Distance
(Calculation completed in 00.004 seconds)

Credits

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)

Distance between Transmitting and Receiving Point Formula

Transmitter Receiver Distance = (Antenna Current*120*pi*Height of Transmitter*Height of Receiver)/(Strength of Ground Wave Propagation*Wavelength)
D = (Ia*120*pi*ht*hr)/(Egnd*λ)

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 Distance between Transmitting and Receiving Point?

Distance between Transmitting and Receiving Point calculator uses Transmitter Receiver Distance = (Antenna Current*120*pi*Height of Transmitter*Height of Receiver)/(Strength of Ground Wave Propagation*Wavelength) to calculate the Transmitter Receiver Distance, The Distance between Transmitting and Receiving point formula is defined as the minimum distance by far which antenna's receiving and transmitting ends to be situated to propagate signal smoothly. Transmitter Receiver Distance is denoted by D symbol.

How to calculate Distance between Transmitting and Receiving Point using this online calculator? To use this online calculator for Distance between Transmitting and Receiving Point, enter Antenna Current (Ia), Height of Transmitter (ht), Height of Receiver (hr), Strength of Ground Wave Propagation (Egnd) & Wavelength (λ) and hit the calculate button. Here is how the Distance between Transmitting and Receiving Point calculation can be explained with given input values -> 1199.998 = (2246.89*120*pi*10.2*5)/(400*90) .

FAQ

What is Distance between Transmitting and Receiving Point?
The Distance between Transmitting and Receiving point formula is defined as the minimum distance by far which antenna's receiving and transmitting ends to be situated to propagate signal smoothly and is represented as D = (Ia*120*pi*ht*hr)/(Egnd*λ) or Transmitter Receiver Distance = (Antenna Current*120*pi*Height of Transmitter*Height of Receiver)/(Strength of Ground Wave Propagation*Wavelength). Antenna current is the current in each part of the antenna that flows in the same direction, Height of transmitter is the actual height of the transmitter required, Height of receiver is the actual height of the receiver required, 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.
How to calculate Distance between Transmitting and Receiving Point?
The Distance between Transmitting and Receiving point formula is defined as the minimum distance by far which antenna's receiving and transmitting ends to be situated to propagate signal smoothly is calculated using Transmitter Receiver Distance = (Antenna Current*120*pi*Height of Transmitter*Height of Receiver)/(Strength of Ground Wave Propagation*Wavelength). To calculate Distance between Transmitting and Receiving Point, you need Antenna Current (Ia), Height of Transmitter (ht), Height of Receiver (hr), Strength of Ground Wave Propagation (Egnd) & Wavelength (λ). With our tool, you need to enter the respective value for Antenna Current, Height of Transmitter, Height of Receiver, Strength of Ground Wave Propagation & Wavelength 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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