Phase Difference between Radio Waves Solution

STEP 0: Pre-Calculation Summary
Formula Used
Phase Difference = 4*pi*Height of Receiving Antenna*Height of Transmitting Antenna/(Antenna Distance*Wavelength)
Φ = 4*pi*hr*ht/(DA*λ)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Phase Difference - (Measured in Radian) - The phase Difference is the difference in the phase angle of the transmitting and receiving waves.
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.
Antenna Distance - (Measured in Meter) - Antenna Distance refers tot he distance by which two antenna's are separated.
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
Height of Receiving Antenna: 70 Meter --> 70 Meter No Conversion Required
Height of Transmitting Antenna: 32 Meter --> 32 Meter No Conversion Required
Antenna Distance: 40000 Meter --> 40000 Meter No Conversion Required
Wavelength: 90 Meter --> 90 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Φ = 4*pi*hr*ht/(DA*λ) --> 4*pi*70*32/(40000*90)
Evaluating ... ...
Φ = 0.0078190750489346
STEP 3: Convert Result to Output's Unit
0.0078190750489346 Radian -->0.448000000000084 Degree (Check conversion here)
FINAL ANSWER
0.448000000000084 0.448 Degree <-- Phase Difference
(Calculation completed in 00.004 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

Phase Difference between Radio Waves Formula

Phase Difference = 4*pi*Height of Receiving Antenna*Height of Transmitting Antenna/(Antenna Distance*Wavelength)
Φ = 4*pi*hr*ht/(DA*λ)

What are type of phase differences within the waves?

This phase difference caused due to path difference, but besides there is another phase difference of 180 degree due to reflection from the ground.

What is the total phase difference?

This is the sum of phase difference alpha and phase difference due to reflection at the ground beta.

How to Calculate Phase Difference between Radio Waves?

Phase Difference between Radio Waves calculator uses Phase Difference = 4*pi*Height of Receiving Antenna*Height of Transmitting Antenna/(Antenna Distance*Wavelength) to calculate the Phase Difference, The Phase Difference between radio waves formula is defined as the difference in the phase angle of the transmitting and receiving waves. It is the phase difference due to path difference between the two waves. Phase Difference is denoted by Φ symbol.

How to calculate Phase Difference between Radio Waves using this online calculator? To use this online calculator for Phase Difference between Radio Waves, enter Height of Receiving Antenna (hr), Height of Transmitting Antenna (ht), Antenna Distance (DA) & Wavelength (λ) and hit the calculate button. Here is how the Phase Difference between Radio Waves calculation can be explained with given input values -> 25.66851 = 4*pi*70*32/(40000*90).

FAQ

What is Phase Difference between Radio Waves?
The Phase Difference between radio waves formula is defined as the difference in the phase angle of the transmitting and receiving waves. It is the phase difference due to path difference between the two waves and is represented as Φ = 4*pi*hr*ht/(DA*λ) or Phase Difference = 4*pi*Height of Receiving Antenna*Height of Transmitting Antenna/(Antenna Distance*Wavelength). 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, Antenna Distance refers tot he distance by which two antenna's are separated & 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 Phase Difference between Radio Waves?
The Phase Difference between radio waves formula is defined as the difference in the phase angle of the transmitting and receiving waves. It is the phase difference due to path difference between the two waves is calculated using Phase Difference = 4*pi*Height of Receiving Antenna*Height of Transmitting Antenna/(Antenna Distance*Wavelength). To calculate Phase Difference between Radio Waves, you need Height of Receiving Antenna (hr), Height of Transmitting Antenna (ht), Antenna Distance (DA) & Wavelength (λ). With our tool, you need to enter the respective value for Height of Receiving Antenna, Height of Transmitting Antenna, Antenna Distance & 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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