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Distance between Transmitting and Receiving Point Formula

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Transmitter Receiver Distance is defined as the total distance by which receiver and transmitter of an antenna are separated. Check FAQs

D = \frac{I a \cdot 120 \cdot π \cdot h t \cdot h r}{E gnd \cdot λ}

D - Transmitter Receiver Distance?I_a - Antenna Current?h_t - Height of Transmitter?h_r - Height of Receiver?E_gnd - Strength of Ground Wave Propagation?λ - Wavelength?π - Archimedes' constant?

Distance between Transmitting and Receiving Point Example

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Here is how the Distance between Transmitting and Receiving Point equation looks like with Values.

Here is how the Distance between Transmitting and Receiving Point equation looks like with Units.

Here is how the Distance between Transmitting and Receiving Point equation looks like.

1199.9982 = \frac{2246.89 \cdot 120 \cdot 3.1416 \cdot 10.2 \cdot 5}{400 \cdot 90}

1199.9982m = \frac{2246.89A \cdot 120 \cdot 3.1416 \cdot 10.2m \cdot 5m}{400V/m \cdot 90m}

1199.9982 = \frac{2246.89 \cdot 120 \cdot 3.1416 \cdot 10.2 \cdot 5}{400 \cdot 90}

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Distance between Transmitting and Receiving Point Solution

Follow our step by step solution on how to calculate Distance between Transmitting and Receiving Point?

FIRST Step Consider the formula

D = \frac{I a \cdot 120 \cdot π \cdot h t \cdot h r}{E gnd \cdot λ}

Next Step Substitute values of Variables

∴

D = \frac{2246.89A \cdot 120 \cdot π \cdot 10.2m \cdot 5m}{400V/m \cdot 90m}

Next Step Substitute values of Constants

∴

D = \frac{2246.89A \cdot 120 \cdot 3.1416 \cdot 10.2m \cdot 5m}{400V/m \cdot 90m}

Next Step Prepare to Evaluate

∴

D = \frac{2246.89 \cdot 120 \cdot 3.1416 \cdot 10.2 \cdot 5}{400 \cdot 90}

Next Step Evaluate

∴

D = 1199.99822996214m

LAST Step Rounding Answer

∴

D = 1199.9982m

Distance between Transmitting and Receiving Point Formula Elements

Variables

Constants

Transmitter Receiver Distance

Transmitter Receiver Distance is defined as the total distance by which receiver and transmitter of an antenna are separated.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Transmitter Receiver Distance

Antenna Current

Antenna current is the current in each part of the antenna that flows in the same direction.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Antenna Current

Height of Transmitter

Height of transmitter is the actual height of the transmitter required.

Symbol: h_t

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height of Transmitter

Height of Receiver

Height of receiver is the actual height of the receiver required.

Symbol: h_r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height of Receiver

Strength of Ground Wave Propagation

Strength of ground wave propagation to achieve an optimal propagating result with a surface wave, you must use vertical polarization.

Symbol: E_gnd

Measurement: Electric Field StrengthUnit: V/m

Note: Value can be positive or negative.

Formulas to find Strength of Ground Wave Propagation

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

Other formulas in Antenna Theory Parameters category

Go Radiation Intensity

U = U o \cdot D a

Go Power Per Unit Bandwidth

P u = k \cdot T R

Go Total Power of Antenna

P a = k \cdot T a \cdot B a

Go Effective Area of Antenna

A e = \frac{k \cdot ΔT}{S}

How to Evaluate Distance between Transmitting and Receiving Point?

Distance between Transmitting and Receiving Point evaluator uses Transmitter Receiver Distance = (Antenna Current*120*pi*Height of Transmitter*Height of Receiver)/(Strength of Ground Wave Propagation*Wavelength) to evaluate 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 evaluate Distance between Transmitting and Receiving Point using this online evaluator? To use this online evaluator for Distance between Transmitting and Receiving Point, enter Antenna Current (I_a), Height of Transmitter (h_t), Height of Receiver (h_r), Strength of Ground Wave Propagation (E_gnd) & Wavelength (λ) and hit the calculate button.

FAQs on Distance between Transmitting and Receiving Point

What is the formula to find Distance between Transmitting and Receiving Point?

The formula of Distance between Transmitting and Receiving Point is expressed as Transmitter Receiver Distance = (Antenna Current*120*pi*Height of Transmitter*Height of Receiver)/(Strength of Ground Wave Propagation*Wavelength). Here is an example- 1199.998 = (2246.89*120*pi*10.2*5)/(400*90).

How to calculate Distance between Transmitting and Receiving Point?

With Antenna Current (I_a), Height of Transmitter (h_t), Height of Receiver (h_r), Strength of Ground Wave Propagation (E_gnd) & Wavelength (λ) we can find Distance between Transmitting and Receiving Point using the formula - Transmitter Receiver Distance = (Antenna Current*120*pi*Height of Transmitter*Height of Receiver)/(Strength of Ground Wave Propagation*Wavelength). This formula also uses Archimedes' constant .

Can the Distance between Transmitting and Receiving Point be negative?

No, the Distance between Transmitting and Receiving Point, measured in Length cannot be negative.

Which unit is used to measure Distance between Transmitting and Receiving Point?

Distance between Transmitting and Receiving Point is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance between Transmitting and Receiving Point can be measured.

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Distance between Transmitting and Receiving Point Formula

Distance between Transmitting and Receiving Point Example

Distance between Transmitting and Receiving Point Solution

Distance between Transmitting and Receiving Point Formula Elements

Other formulas in Antenna Theory Parameters category

How to Evaluate Distance between Transmitting and Receiving Point?

FAQs on Distance between Transmitting and Receiving Point

Variable Name