HCF of two numbers

Radiation Resistance of Antenna Calculator

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Electromagnetic Radiation and Antennas Electrowave Dynamics

✖Average Power is defined as the power that crosses the surface of a sphere of radius r.ⓘ Average Power [P_r]			+10% -10%
✖Sinusoidal Current represents the current of amplitude Io in absence of any radiation.ⓘ Sinusoidal Current [i_o]			+10% -10%

✖Radiation Resistance is the effective resistance of antenna.ⓘ Radiation Resistance of Antenna [R_rad]

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Radiation Resistance of Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radiation Resistance = 2*Average Power/Sinusoidal Current^2
R_rad = 2*P_r/i_o^2
This formula uses 3 Variables

Variables Used

Radiation Resistance - (Measured in Ohm) - Radiation Resistance is the effective resistance of antenna.
Average Power - (Measured in Watt) - Average Power is defined as the power that crosses the surface of a sphere of radius r.
Sinusoidal Current - (Measured in Ampere) - Sinusoidal Current represents the current of amplitude Io in absence of any radiation.

STEP 1: Convert Input(s) to Base Unit

Average Power: 63.85 Watt --> 63.85 Watt No Conversion Required
Sinusoidal Current: 4.5 Ampere --> 4.5 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_rad = 2*P_r/i_o^2 --> 2*63.85/4.5^2

Evaluating ... ...

R_rad = 6.30617283950617

STEP 3: Convert Result to Output's Unit

6.30617283950617 Ohm --> No Conversion Required

FINAL ANSWER

6.30617283950617 ≈ 6.306173 Ohm <-- Radiation Resistance

(Calculation completed in 00.020 seconds)

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Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

Gowthaman N has created this Calculator and 25+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< Electromagnetic Radiation and Antennas Calculators

Poynting Vector Magnitude

LaTeX Go Poynting Vector = 1/2*((Dipole Current*Wavenumber*Source Distance)/(4*pi))^2*Intrinsic Impedance*(sin(Polar Angle))^2

Radiation Efficiency of Antenna

LaTeX Go Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity

Average Power

LaTeX Go Average Power = 1/2*Sinusoidal Current^2*Radiation Resistance

Radiation Resistance of Antenna

LaTeX Go Radiation Resistance = 2*Average Power/Sinusoidal Current^2

Radiation Resistance of Antenna Formula

LaTeX Go

Radiation Resistance = 2*Average Power/Sinusoidal Current^2
R_rad = 2*P_r/i_o^2

If average power is constant and radiation resistance decreases by 50%, what happens to Current?

When Average Power is held constant and radiation resistance decreases by 50%, the current increases by a factor of approximately 1.414.

How to Calculate Radiation Resistance of Antenna?

Radiation Resistance of Antenna calculator uses Radiation Resistance = 2*Average Power/Sinusoidal Current^2 to calculate the Radiation Resistance, Radiation Resistance of Antenna is the equivalent resistance that would dissipate the same amount of power as radiated by the antenna, representing the efficiency of power conversion from electrical to electromagnetic form. Radiation Resistance is denoted by R_rad symbol.

How to calculate Radiation Resistance of Antenna using this online calculator? To use this online calculator for Radiation Resistance of Antenna, enter Average Power (P_r) & Sinusoidal Current (i_o) and hit the calculate button. Here is how the Radiation Resistance of Antenna calculation can be explained with given input values -> 6.306173 = 2*63.85/4.5^2.

FAQ

What is Radiation Resistance of Antenna?

Radiation Resistance of Antenna is the equivalent resistance that would dissipate the same amount of power as radiated by the antenna, representing the efficiency of power conversion from electrical to electromagnetic form and is represented as R_rad = 2*P_r/i_o^2 or Radiation Resistance = 2*Average Power/Sinusoidal Current^2. Average Power is defined as the power that crosses the surface of a sphere of radius r & Sinusoidal Current represents the current of amplitude Io in absence of any radiation.

How to calculate Radiation Resistance of Antenna?

Radiation Resistance of Antenna is the equivalent resistance that would dissipate the same amount of power as radiated by the antenna, representing the efficiency of power conversion from electrical to electromagnetic form is calculated using Radiation Resistance = 2*Average Power/Sinusoidal Current^2. To calculate Radiation Resistance of Antenna, you need Average Power (P_r) & Sinusoidal Current (i_o). With our tool, you need to enter the respective value for Average Power & Sinusoidal Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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