FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Radiation Resistance of Antenna Formula

Fx Copy

LaTeX Copy

Radiation Resistance is the effective resistance of antenna. Check FAQs

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

R_rad - Radiation Resistance?P_r - Average Power?i_o - Sinusoidal Current?

Radiation Resistance of Antenna Example

With values

With units

Only example

Here is how the Radiation Resistance of Antenna equation looks like with Values.

Here is how the Radiation Resistance of Antenna equation looks like with Units.

Here is how the Radiation Resistance of Antenna equation looks like.

6.3062 = 2 \cdot \frac{63.85}{{4.5}^{2}}

6.3062Ω = 2 \cdot \frac{63.85W}{{4.5A}^{2}}

6.3062 = 2 \cdot \frac{63.85}{{4.5}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Electromagnetic Field Theory » fx Radiation Resistance of Antenna

Radiation Resistance of Antenna Solution

Follow our step by step solution on how to calculate Radiation Resistance of Antenna?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R rad = 2 \cdot \frac{63.85W}{{4.5A}^{2}}

Next Step Prepare to Evaluate

∴

R rad = 2 \cdot \frac{63.85}{{4.5}^{2}}

Next Step Evaluate

∴

R rad = 6.30617283950617Ω

LAST Step Rounding Answer

∴

R rad = 6.3062Ω

Radiation Resistance of Antenna Formula Elements

Variables

Radiation Resistance

Radiation Resistance is the effective resistance of antenna.

Symbol: R_rad

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Radiation Resistance

Average Power

Average Power is defined as the power that crosses the surface of a sphere of radius r.

Symbol: P_r

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Average Power

Sinusoidal Current

Sinusoidal Current represents the current of amplitude Io in absence of any radiation.

Symbol: i_o

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Sinusoidal Current

Other formulas in Electromagnetic Radiation and Antennas category

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}

Go Magnetic Field for Hertzian Dipole

H Φ = {(\frac{1}{r})}^{2} \cdot (\cos (2 \cdot π \cdot \frac{r}{λ}) + 2 \cdot π \cdot \frac{r}{λ} \cdot \sin (2 \cdot π \cdot \frac{r}{λ}))

How to Evaluate Radiation Resistance of Antenna?

Radiation Resistance of Antenna evaluator uses Radiation Resistance = 2*Average Power/Sinusoidal Current^2 to evaluate 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 evaluate Radiation Resistance of Antenna using this online evaluator? To use this online evaluator for Radiation Resistance of Antenna, enter Average Power (P_r) & Sinusoidal Current (i_o) and hit the calculate button.

FAQs on Radiation Resistance of Antenna

What is the formula to find Radiation Resistance of Antenna?

The formula of Radiation Resistance of Antenna is expressed as Radiation Resistance = 2*Average Power/Sinusoidal Current^2. Here is an example- 6.306173 = 2*63.85/4.5^2.

How to calculate Radiation Resistance of Antenna?

With Average Power (P_r) & Sinusoidal Current (i_o) we can find Radiation Resistance of Antenna using the formula - Radiation Resistance = 2*Average Power/Sinusoidal Current^2.

Can the Radiation Resistance of Antenna be negative?

No, the Radiation Resistance of Antenna, measured in Electric Resistance cannot be negative.

Which unit is used to measure Radiation Resistance of Antenna?

Radiation Resistance of Antenna is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Radiation Resistance of Antenna can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Radiation Resistance of Antenna Formula

Radiation Resistance of Antenna Example

Radiation Resistance of Antenna Solution

Radiation Resistance of Antenna Formula Elements

Other formulas in Electromagnetic Radiation and Antennas category

How to Evaluate Radiation Resistance of Antenna?

FAQs on Radiation Resistance of Antenna

Variable Name