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Field Strength of Space Wave Formula

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The Field strength of Space Waves is given by the inverse distance law. However, due to most of the transmitters being closer to the ground they use either direct or ground reflected propagation. Check FAQs

E = \frac{4 \cdot π \cdot E 0 \cdot h r \cdot h t}{λ \cdot {D A}^{2}}

E - Field Strength?E₀ - Electric Field?h_r - Height of Receiving Antenna?h_t - Height of Transmitting Antenna?λ - Wavelength?D_A - Antenna Distance?π - Archimedes' constant?

Field Strength of Space Wave Example

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Here is how the Field Strength of Space Wave equation looks like with Values.

Here is how the Field Strength of Space Wave equation looks like with Units.

Here is how the Field Strength of Space Wave equation looks like.

0.002 = \frac{4 \cdot 3.1416 \cdot 9990 \cdot 70 \cdot 32}{90 \cdot 40000^{2}}

0.002V/m = \frac{4 \cdot 3.1416 \cdot 9990V/m \cdot 70m \cdot 32m}{90m \cdot {40000m}^{2}}

0.002 = \frac{4 \cdot 3.1416 \cdot 9990 \cdot 70 \cdot 32}{90 \cdot 40000^{2}}

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Field Strength of Space Wave Solution

Follow our step by step solution on how to calculate Field Strength of Space Wave?

FIRST Step Consider the formula

E = \frac{4 \cdot π \cdot E 0 \cdot h r \cdot h t}{λ \cdot {D A}^{2}}

Next Step Substitute values of Variables

∴

E = \frac{4 \cdot π \cdot 9990V/m \cdot 70m \cdot 32m}{90m \cdot {40000m}^{2}}

Next Step Substitute values of Constants

∴

E = \frac{4 \cdot 3.1416 \cdot 9990V/m \cdot 70m \cdot 32m}{90m \cdot {40000m}^{2}}

Next Step Prepare to Evaluate

∴

E = \frac{4 \cdot 3.1416 \cdot 9990 \cdot 70 \cdot 32}{90 \cdot 40000^{2}}

Next Step Evaluate

∴

E = 0.00195281399347142V/m

LAST Step Rounding Answer

∴

E = 0.002V/m

Field Strength of Space Wave Formula Elements

Variables

Constants

Field Strength

The Field strength of Space Waves is given by the inverse distance law. However, due to most of the transmitters being closer to the ground they use either direct or ground reflected propagation.

Symbol: E

Measurement: Electric Field StrengthUnit: V/m

Note: Value can be positive or negative.

Formulas to find Field Strength

Electric Field

The Electric field strength is a quantitative expression of the intensity of an electric field at a particular location. This is electric field emitted from transmitting antenna.

Symbol: E₀

Measurement: Electric Field StrengthUnit: V/m

Note: Value can be positive or negative.

Formulas to find Electric Field

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

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

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

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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How to Evaluate Field Strength of Space Wave?

Field Strength of Space Wave evaluator uses Field Strength = (4*pi*Electric Field*Height of Receiving Antenna*Height of Transmitting Antenna)/(Wavelength*Antenna Distance^2) to evaluate the Field Strength, The Field Strength of space wave formula is given by the inverse distance law. However, due to most of the transmitters being closer to the ground they use either direct or ground reflected propagation. Field Strength is denoted by E symbol.

How to evaluate Field Strength of Space Wave using this online evaluator? To use this online evaluator for Field Strength of Space Wave, enter Electric Field (E₀), Height of Receiving Antenna (h_r), Height of Transmitting Antenna (h_t), Wavelength (λ) & Antenna Distance (D_A) and hit the calculate button.

FAQs on Field Strength of Space Wave

What is the formula to find Field Strength of Space Wave?

The formula of Field Strength of Space Wave is expressed as Field Strength = (4*pi*Electric Field*Height of Receiving Antenna*Height of Transmitting Antenna)/(Wavelength*Antenna Distance^2). Here is an example- 0.001953 = (4*pi*9990*70*32)/(90*40000^2).

How to calculate Field Strength of Space Wave?

With Electric Field (E₀), Height of Receiving Antenna (h_r), Height of Transmitting Antenna (h_t), Wavelength (λ) & Antenna Distance (D_A) we can find Field Strength of Space Wave using the formula - Field Strength = (4*pi*Electric Field*Height of Receiving Antenna*Height of Transmitting Antenna)/(Wavelength*Antenna Distance^2). This formula also uses Archimedes' constant .

Can the Field Strength of Space Wave be negative?

Yes, the Field Strength of Space Wave, measured in Electric Field Strength can be negative.

Which unit is used to measure Field Strength of Space Wave?

Field Strength of Space Wave is usually measured using the Volt per Meter[V/m] for Electric Field Strength. Kilovolt per Meter[V/m], Millivolt per Meter[V/m], Microvolt per Meter[V/m] are the few other units in which Field Strength of Space Wave can be measured.

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Field Strength of Space Wave Formula

Field Strength of Space Wave Example

Field Strength of Space Wave Solution

Field Strength of Space Wave Formula Elements

Other formulas in Wave Propagation category

How to Evaluate Field Strength of Space Wave?

FAQs on Field Strength of Space Wave

Variable Name