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Height of Receiving Antenna Formula

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

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

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

Height of Receiving Antenna Example

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Here is how the Height of Receiving Antenna equation looks like with Values.

Here is how the Height of Receiving Antenna equation looks like with Units.

Here is how the Height of Receiving Antenna equation looks like.

5 = \frac{400 \cdot 90 \cdot 1200}{120 \cdot 3.1416 \cdot 10.2 \cdot 2246.89}

5m = \frac{400V/m \cdot 90m \cdot 1200m}{120 \cdot 3.1416 \cdot 10.2m \cdot 2246.89A}

5 = \frac{400 \cdot 90 \cdot 1200}{120 \cdot 3.1416 \cdot 10.2 \cdot 2246.89}

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Height of Receiving Antenna Solution

Follow our step by step solution on how to calculate Height of Receiving Antenna?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h r = \frac{400V/m \cdot 90m \cdot 1200m}{120 \cdot π \cdot 10.2m \cdot 2246.89A}

Next Step Substitute values of Constants

∴

h r = \frac{400V/m \cdot 90m \cdot 1200m}{120 \cdot 3.1416 \cdot 10.2m \cdot 2246.89A}

Next Step Prepare to Evaluate

∴

h r = \frac{400 \cdot 90 \cdot 1200}{120 \cdot 3.1416 \cdot 10.2 \cdot 2246.89}

Next Step Evaluate

∴

h r = 5.00000737516862m

LAST Step Rounding Answer

∴

h r = 5m

Height of Receiving Antenna Formula Elements

Variables

Constants

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

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

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

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

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 Height of Receiving Antenna?

Height of Receiving Antenna evaluator uses Height of Receiver = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Height of Transmitter*Antenna Current) to evaluate the Height of Receiver, The Height of Receiving Antenna formula is defined as the minimum height of receiving antenna required to receive signal of certain wavelength. Height of Receiver is denoted by h_r symbol.

How to evaluate Height of Receiving Antenna using this online evaluator? To use this online evaluator for Height of Receiving Antenna, enter Strength of Ground Wave Propagation (E_gnd), Wavelength (λ), Transmitter Receiver Distance (D), Height of Transmitter (h_t) & Antenna Current (I_a) and hit the calculate button.

FAQs on Height of Receiving Antenna

What is the formula to find Height of Receiving Antenna?

The formula of Height of Receiving Antenna is expressed as Height of Receiver = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Height of Transmitter*Antenna Current). Here is an example- 5.000007 = (400*90*1200)/(120*pi*10.2*2246.89).

How to calculate Height of Receiving Antenna?

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

Can the Height of Receiving Antenna be negative?

Yes, the Height of Receiving Antenna, measured in Length can be negative.

Which unit is used to measure Height of Receiving Antenna?

Height of Receiving Antenna is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Receiving Antenna can be measured.

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Height of Receiving Antenna Formula

Height of Receiving Antenna Example

Height of Receiving Antenna Solution

Height of Receiving Antenna Formula Elements

Other formulas in Antenna Theory Parameters category

How to Evaluate Height of Receiving Antenna?

FAQs on Height of Receiving Antenna

Variable Name