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Maximum Range of Radar Formula

GoRange of Target Formula

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Target Range is defined as the distance from the radar site to the target measured along the line of sight. Check FAQs

R t = {(\frac{P trns \cdot G trns \cdot σ \cdot A eff}{16 \cdot π^{2} \cdot S min})}^{0.25}

R_t - Target Range?P_trns - Transmitted Power?G_trns - Transmitted Gain?σ - Cross Section Area of Radar?A_eff - Effective Area of Receiving Antenna?S_min - Minimum Detectable Signal?π - Archimedes' constant?

Maximum Range of Radar Example

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Here is how the Maximum Range of Radar equation looks like with Values.

Here is how the Maximum Range of Radar equation looks like with Units.

Here is how the Maximum Range of Radar equation looks like.

289.6204 = {(\frac{100 \cdot 657 \cdot 25 \cdot 17.5875}{16 \cdot {3.1416}^{2} \cdot 0.026})}^{0.25}

289.6204m = {(\frac{100kW \cdot 657 \cdot 25m² \cdot 17.5875m²}{16 \cdot {3.1416}^{2} \cdot 0.026W})}^{0.25}

289.6204 = {(\frac{100 \cdot 657 \cdot 25 \cdot 17.5875}{16 \cdot {3.1416}^{2} \cdot 0.026})}^{0.25}

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Maximum Range of Radar Solution

Follow our step by step solution on how to calculate Maximum Range of Radar?

FIRST Step Consider the formula

R t = {(\frac{P trns \cdot G trns \cdot σ \cdot A eff}{16 \cdot π^{2} \cdot S min})}^{0.25}

Next Step Substitute values of Variables

∴

R t = {(\frac{100kW \cdot 657 \cdot 25m² \cdot 17.5875m²}{16 \cdot π^{2} \cdot 0.026W})}^{0.25}

Next Step Substitute values of Constants

∴

R t = {(\frac{100kW \cdot 657 \cdot 25m² \cdot 17.5875m²}{16 \cdot {3.1416}^{2} \cdot 0.026W})}^{0.25}

Next Step Convert Units

∴

R t = {(\frac{100000W \cdot 657 \cdot 25m² \cdot 17.5875m²}{16 \cdot {3.1416}^{2} \cdot 0.026W})}^{0.25}

Next Step Prepare to Evaluate

∴

R t = {(\frac{100000 \cdot 657 \cdot 25 \cdot 17.5875}{16 \cdot {3.1416}^{2} \cdot 0.026})}^{0.25}

Next Step Evaluate

∴

R t = 289.620369423853m

LAST Step Rounding Answer

∴

R t = 289.6204m

Maximum Range of Radar Formula Elements

Variables

Constants

Target Range

Target Range is defined as the distance from the radar site to the target measured along the line of sight.

Symbol: R_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Target Range

Transmitted Power

Transmitted Power is the amount of power the radar system is radiating into the environment to transmit radar signals.

Symbol: P_trns

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Transmitted Power

Transmitted Gain

Transmitted Gain is a parameter used to describe the ability of an antenna to concentrate and direct electromagnetic energy in a specific direction when it is used to transmit signals.

Symbol: G_trns

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Transmitted Gain

Cross Section Area of Radar

Cross Section Area of Radar also called radar signature, is a measure of how detectable an object is by radar.

Symbol: σ

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Section Area of Radar

Effective Area of Receiving Antenna

Effective Area of Receiving Antenna is a fundamental parameter that characterizes the ability of the antenna to capture electromagnetic radiation and convert it into an electrical signal.

Symbol: A_eff

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Effective Area of Receiving Antenna

Minimum Detectable Signal

Minimum Detectable Signal represents the minimum power level of a signal that a radar can detect reliably above the noise floor.

Symbol: S_min

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Minimum Detectable Signal

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 to find Target Range

Go Range of Target

R t = \frac{[c] \cdot T run}{2}

Other formulas in Radar and Antenna Specifications category

Go Measured Runtime

T run = 2 \cdot \frac{R t}{[c]}

Go Maximum Unambiguous Range

R un = \frac{[c] \cdot T pulse}{2}

Go Pulse Repetition Time

T pulse = \frac{2 \cdot R un}{[c]}

Go Pulse Repetition Frequency

f rep = \frac{[c]}{2 \cdot R un}

How to Evaluate Maximum Range of Radar?

Maximum Range of Radar evaluator uses Target Range = ((Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Minimum Detectable Signal))^0.25 to evaluate the Target Range, The Maximum Range of Radar formula is defined by several parameters, including the size of the radar antenna and the frequency of the signal used. Target Range is denoted by R_t symbol.

How to evaluate Maximum Range of Radar using this online evaluator? To use this online evaluator for Maximum Range of Radar, enter Transmitted Power (P_trns), Transmitted Gain (G_trns), Cross Section Area of Radar (σ), Effective Area of Receiving Antenna (A_eff) & Minimum Detectable Signal (S_min) and hit the calculate button.

FAQs on Maximum Range of Radar

What is the formula to find Maximum Range of Radar?

The formula of Maximum Range of Radar is expressed as Target Range = ((Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Minimum Detectable Signal))^0.25. Here is an example- 289.6204 = ((100000*657*25*17.5875)/(16*pi^2*0.026))^0.25.

How to calculate Maximum Range of Radar?

With Transmitted Power (P_trns), Transmitted Gain (G_trns), Cross Section Area of Radar (σ), Effective Area of Receiving Antenna (A_eff) & Minimum Detectable Signal (S_min) we can find Maximum Range of Radar using the formula - Target Range = ((Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Minimum Detectable Signal))^0.25. This formula also uses Archimedes' constant .

What are the other ways to Calculate Target Range?

Here are the different ways to Calculate Target Range-

Target Range=([c]*Measured Runtime)/2

Can the Maximum Range of Radar be negative?

No, the Maximum Range of Radar, measured in Length cannot be negative.

Which unit is used to measure Maximum Range of Radar?

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

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Maximum Range of Radar Formula

​GoRange of Target Formula

Maximum Range of Radar Example

Maximum Range of Radar Solution

Maximum Range of Radar Formula Elements

Other Formulas to find Target Range

Other formulas in Radar and Antenna Specifications category

How to Evaluate Maximum Range of Radar?

FAQs on Maximum Range of Radar

Variable Name

GoRange of Target Formula