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Phase Difference between Radio Waves Formula

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The phase Difference is the difference in the phase angle of the transmitting and receiving waves. Check FAQs

Φ = 4 \cdot π \cdot h r \cdot \frac{h t}{D A \cdot λ}

Φ - Phase Difference?h_r - Height of Receiving Antenna?h_t - Height of Transmitting Antenna?D_A - Antenna Distance?λ - Wavelength?π - Archimedes' constant?

Phase Difference between Radio Waves Example

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Here is how the Phase Difference between Radio Waves equation looks like with Values.

Here is how the Phase Difference between Radio Waves equation looks like with Units.

Here is how the Phase Difference between Radio Waves equation looks like.

0.448 = 4 \cdot 3.1416 \cdot 70 \cdot \frac{32}{40000 \cdot 90}

0.448° = 4 \cdot 3.1416 \cdot 70m \cdot \frac{32m}{40000m \cdot 90m}

0.448 = 4 \cdot 3.1416 \cdot 70 \cdot \frac{32}{40000 \cdot 90}

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Phase Difference between Radio Waves Solution

Follow our step by step solution on how to calculate Phase Difference between Radio Waves?

FIRST Step Consider the formula

Φ = 4 \cdot π \cdot h r \cdot \frac{h t}{D A \cdot λ}

Next Step Substitute values of Variables

∴

Φ = 4 \cdot π \cdot 70m \cdot \frac{32m}{40000m \cdot 90m}

Next Step Substitute values of Constants

∴

Φ = 4 \cdot 3.1416 \cdot 70m \cdot \frac{32m}{40000m \cdot 90m}

Next Step Prepare to Evaluate

∴

Φ = 4 \cdot 3.1416 \cdot 70 \cdot \frac{32}{40000 \cdot 90}

Next Step Evaluate

∴

Φ = 0.0078190750489346rad

Next Step Convert to Output's Unit

∴

Φ = 0.448000000000084°

LAST Step Rounding Answer

∴

Φ = 0.448°

Phase Difference between Radio Waves Formula Elements

Variables

Constants

Phase Difference

The phase Difference is the difference in the phase angle of the transmitting and receiving waves.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Phase Difference

Height of Receiving 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.

Symbol: h_r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height of Receiving Antenna

Height of Transmitting Antenna

The Height of transmitting antenna is defined as the height of the radiation center of the antenna above the average terrain.

Symbol: h_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height of Transmitting Antenna

Antenna Distance

Antenna Distance refers tot he distance by which two antenna's are separated.

Symbol: D_A

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Antenna Distance

Wavelength

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

Symbol: λ

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wavelength

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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η r = \sqrt{1 - (\frac{81 \cdot N max}{{f o}^{2}})}

Go Maximum Usable Frequency in F-region

F muf = \frac{f c}{\cos (θ i)}

How to Evaluate Phase Difference between Radio Waves?

Phase Difference between Radio Waves evaluator uses Phase Difference = 4*pi*Height of Receiving Antenna*Height of Transmitting Antenna/(Antenna Distance*Wavelength) to evaluate 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 evaluate Phase Difference between Radio Waves using this online evaluator? To use this online evaluator for Phase Difference between Radio Waves, enter Height of Receiving Antenna (h_r), Height of Transmitting Antenna (h_t), Antenna Distance (D_A) & Wavelength (λ) and hit the calculate button.

FAQs on Phase Difference between Radio Waves

What is the formula to find Phase Difference between Radio Waves?

The formula of Phase Difference between Radio Waves is expressed as Phase Difference = 4*pi*Height of Receiving Antenna*Height of Transmitting Antenna/(Antenna Distance*Wavelength). Here is an example- 25.66851 = 4*pi*70*32/(40000*90).

How to calculate Phase Difference between Radio Waves?

With Height of Receiving Antenna (h_r), Height of Transmitting Antenna (h_t), Antenna Distance (D_A) & Wavelength (λ) we can find Phase Difference between Radio Waves using the formula - Phase Difference = 4*pi*Height of Receiving Antenna*Height of Transmitting Antenna/(Antenna Distance*Wavelength). This formula also uses Archimedes' constant .

Can the Phase Difference between Radio Waves be negative?

Yes, the Phase Difference between Radio Waves, measured in Angle can be negative.

Which unit is used to measure Phase Difference between Radio Waves?

Phase Difference between Radio Waves is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Phase Difference between Radio Waves can be measured.

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Phase Difference between Radio Waves Formula

Phase Difference between Radio Waves Example

Phase Difference between Radio Waves Solution

Phase Difference between Radio Waves Formula Elements

Other formulas in Wave Propagation category

How to Evaluate Phase Difference between Radio Waves?

FAQs on Phase Difference between Radio Waves

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