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Time Average Radiated Power of Half-Wave Dipole Formula

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Time Average Radiated Power refers to the average power dissipated by an antenna as electromagnetic waves propagate into space over a specified time interval. Check FAQs

< P rad > = (\frac{{(I o)}^{2}}{2}) \cdot (\frac{0.609 \cdot η hwd}{π})

< P_rad > - Time Average Radiated Power?I_o - Amplitude of Oscillating Current?η_hwd - Intrinsic Impedance of Medium?π - Archimedes' constant?

Time Average Radiated Power of Half-Wave Dipole Example

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Here is how the Time Average Radiated Power of Half-Wave Dipole equation looks like with Values.

Here is how the Time Average Radiated Power of Half-Wave Dipole equation looks like with Units.

Here is how the Time Average Radiated Power of Half-Wave Dipole equation looks like.

913.5215 = (\frac{{(5)}^{2}}{2}) \cdot (\frac{0.609 \cdot 377}{3.1416})

913.5215W = (\frac{{(5A)}^{2}}{2}) \cdot (\frac{0.609 \cdot 377Ω}{3.1416})

913.5215 = (\frac{{(5)}^{2}}{2}) \cdot (\frac{0.609 \cdot 377}{3.1416})

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Time Average Radiated Power of Half-Wave Dipole Solution

Follow our step by step solution on how to calculate Time Average Radiated Power of Half-Wave Dipole?

FIRST Step Consider the formula

< P rad > = (\frac{{(I o)}^{2}}{2}) \cdot (\frac{0.609 \cdot η hwd}{π})

Next Step Substitute values of Variables

∴

< P rad > = (\frac{{(5A)}^{2}}{2}) \cdot (\frac{0.609 \cdot 377Ω}{π})

Next Step Substitute values of Constants

∴

< P rad > = (\frac{{(5A)}^{2}}{2}) \cdot (\frac{0.609 \cdot 377Ω}{3.1416})

Next Step Prepare to Evaluate

∴

< P rad > = (\frac{{(5)}^{2}}{2}) \cdot (\frac{0.609 \cdot 377}{3.1416})

Next Step Evaluate

∴

< P rad > = 913.521521232438W

LAST Step Rounding Answer

∴

< P rad > = 913.5215W

Time Average Radiated Power of Half-Wave Dipole Formula Elements

Variables

Constants

Time Average Radiated Power

Time Average Radiated Power refers to the average power dissipated by an antenna as electromagnetic waves propagate into space over a specified time interval.

Symbol: < P_rad >

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Time Average Radiated Power

Amplitude of Oscillating Current

The Amplitude of Oscillating Current refers to the maximum magnitude or strength of the alternating electric current as it varies over time.

Symbol: I_o

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Amplitude of Oscillating Current

Intrinsic Impedance of Medium

The Intrinsic Impedance of Medium refers to the characteristic impedance of a material through which electromagnetic waves propagate.

Symbol: η_hwd

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Intrinsic Impedance of Medium

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 Electromagnetic Radiation and Antennas category

Go Radiation Resistance of Antenna

R rad = 2 \cdot \frac{P r}{{i o}^{2}}

Go Average Power

P r = \frac{1}{2} \cdot {i o}^{2} \cdot R rad

Go Poynting Vector Magnitude

S r = \frac{1}{2} \cdot {(\frac{I d \cdot k \cdot d}{4 \cdot π})}^{2} \cdot η \cdot {(\sin (θ))}^{2}

Go Radiation Efficiency of Antenna

η r = \frac{G}{D max}

How to Evaluate Time Average Radiated Power of Half-Wave Dipole?

Time Average Radiated Power of Half-Wave Dipole evaluator uses Time Average Radiated Power = (((Amplitude of Oscillating Current)^2)/2)*((0.609*Intrinsic Impedance of Medium)/pi) to evaluate the Time Average Radiated Power, Time Average Radiated Power of Half-Wave Dipole is the average power emitted in all directions over a complete cycle, calculated from the square of the current flowing through the antenna. Time Average Radiated Power is denoted by < P_rad > symbol.

How to evaluate Time Average Radiated Power of Half-Wave Dipole using this online evaluator? To use this online evaluator for Time Average Radiated Power of Half-Wave Dipole, enter Amplitude of Oscillating Current (I_o) & Intrinsic Impedance of Medium (η_hwd) and hit the calculate button.

FAQs on Time Average Radiated Power of Half-Wave Dipole

What is the formula to find Time Average Radiated Power of Half-Wave Dipole?

The formula of Time Average Radiated Power of Half-Wave Dipole is expressed as Time Average Radiated Power = (((Amplitude of Oscillating Current)^2)/2)*((0.609*Intrinsic Impedance of Medium)/pi). Here is an example- 913.5215 = (((5)^2)/2)*((0.609*377)/pi).

How to calculate Time Average Radiated Power of Half-Wave Dipole?

With Amplitude of Oscillating Current (I_o) & Intrinsic Impedance of Medium (η_hwd) we can find Time Average Radiated Power of Half-Wave Dipole using the formula - Time Average Radiated Power = (((Amplitude of Oscillating Current)^2)/2)*((0.609*Intrinsic Impedance of Medium)/pi). This formula also uses Archimedes' constant .

Can the Time Average Radiated Power of Half-Wave Dipole be negative?

No, the Time Average Radiated Power of Half-Wave Dipole, measured in Power cannot be negative.

Which unit is used to measure Time Average Radiated Power of Half-Wave Dipole?

Time Average Radiated Power of Half-Wave Dipole is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Time Average Radiated Power of Half-Wave Dipole can be measured.

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Time Average Radiated Power of Half-Wave Dipole Formula

Time Average Radiated Power of Half-Wave Dipole Example

Time Average Radiated Power of Half-Wave Dipole Solution

Time Average Radiated Power of Half-Wave Dipole Formula Elements

Other formulas in Electromagnetic Radiation and Antennas category

How to Evaluate Time Average Radiated Power of Half-Wave Dipole?

FAQs on Time Average Radiated Power of Half-Wave Dipole

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