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Height of Transmitting Antenna Formula

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

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

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

Height of Transmitting Antenna Example

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

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

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

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

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

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

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Height of Transmitting Antenna Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h t = \frac{400V/m \cdot 90m \cdot 1200m}{120 \cdot π \cdot 2246.89A \cdot 5m}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h t = 10.200015045344m

LAST Step Rounding Answer

∴

h t = 10.2m

Height of Transmitting Antenna Formula Elements

Variables

Constants

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

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

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 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

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 Transmitting Antenna?

Height of Transmitting Antenna evaluator uses Height of Transmitter = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Antenna Current*Height of Receiver) to evaluate the Height of Transmitter, The Height Of Transmitting Antenna formula is defined as the minimum height of the antenna required to transmit a signal of a certain frequency. Height of Transmitter is denoted by h_t symbol.

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

FAQs on Height of Transmitting Antenna

What is the formula to find Height of Transmitting Antenna?

The formula of Height of Transmitting Antenna is expressed as Height of Transmitter = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Antenna Current*Height of Receiver). Here is an example- 10.20002 = (400*90*1200)/(120*pi*2246.89*5).

How to calculate Height of Transmitting Antenna?

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

Can the Height of Transmitting Antenna be negative?

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

Which unit is used to measure Height of Transmitting Antenna?

Height of Transmitting 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 Transmitting Antenna can be measured.

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Height of Transmitting Antenna Formula

Height of Transmitting Antenna Example

Height of Transmitting Antenna Solution

Height of Transmitting Antenna Formula Elements

Other formulas in Antenna Theory Parameters category

How to Evaluate Height of Transmitting Antenna?

FAQs on Height of Transmitting Antenna

Variable Name