## Magnetic Field for Hertzian Dipole Solution

STEP 0: Pre-Calculation Summary
Formula Used
Magnetic Field Component = (1/Dipole Distance)^2*(cos(2*pi*Dipole Distance/Dipole Wavelength)+2*pi*Dipole Distance/Dipole Wavelength*sin(2*pi*Dipole Distance/Dipole Wavelength))
HΦ = (1/r)^2*(cos(2*pi*r/λ)+2*pi*r/λ*sin(2*pi*r/λ))
This formula uses 1 Constants, 2 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Magnetic Field Component - (Measured in Ampere per Meter) - Magnetic Field Component refers to the azimuthal component of the magnetic field.
Dipole Distance - (Measured in Meter) - Dipole Distance refers to the radial distance from the dipole.
Dipole Wavelength - (Measured in Meter) - Dipole Wavelength refers to the wavelength of radiation emitted by the dipole.
STEP 1: Convert Input(s) to Base Unit
Dipole Distance: 8.3 Meter --> 8.3 Meter No Conversion Required
Dipole Wavelength: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
HΦ = (1/r)^2*(cos(2*pi*r/λ)+2*pi*r/λ*sin(2*pi*r/λ)) --> (1/8.3)^2*(cos(2*pi*8.3/20)+2*pi*8.3/20*sin(2*pi*8.3/20))
Evaluating ... ...
HΦ = 0.00677303837762137
STEP 3: Convert Result to Output's Unit
0.00677303837762137 Ampere per Meter -->6.77303837762137 Milliampere per Meter (Check conversion ​here)
6.77303837762137 6.773038 Milliampere per Meter <-- Magnetic Field Component
(Calculation completed in 00.004 seconds)
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## Credits

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
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## <Electromagnetic Radiation and Antennas Calculators

Poynting Vector Magnitude
​ Go Poynting Vector = 1/2*((Dipole Current*Wavenumber*Source Distance)/(4*pi))^2*Intrinsic Impedance*(sin(Polar Angle))^2
​ Go Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity
Average Power
​ Go Average Power = 1/2*Sinusoidal Current^2*Radiation Resistance
​ Go Radiation Resistance = 2*Average Power/Sinusoidal Current^2

## Magnetic Field for Hertzian Dipole Formula

Magnetic Field Component = (1/Dipole Distance)^2*(cos(2*pi*Dipole Distance/Dipole Wavelength)+2*pi*Dipole Distance/Dipole Wavelength*sin(2*pi*Dipole Distance/Dipole Wavelength))
HΦ = (1/r)^2*(cos(2*pi*r/λ)+2*pi*r/λ*sin(2*pi*r/λ))

## What field ratio dominates near a Hertzian dipole?

The dipole term, 1/r², dominates in the near field because it decreases more rapidly with distance (proportionally to 1/r²) compared to the radiation term, which decreases only proportionally to 1/r.

## How to Calculate Magnetic Field for Hertzian Dipole?

Magnetic Field for Hertzian Dipole calculator uses Magnetic Field Component = (1/Dipole Distance)^2*(cos(2*pi*Dipole Distance/Dipole Wavelength)+2*pi*Dipole Distance/Dipole Wavelength*sin(2*pi*Dipole Distance/Dipole Wavelength)) to calculate the Magnetic Field Component, Magnetic Field for Hertzian Dipole is the component of the radiated electromagnetic wave, perpendicular to the electric field, varying with distance and angle, proportional to current and inversely proportional to distance. Magnetic Field Component is denoted by HΦ symbol.

How to calculate Magnetic Field for Hertzian Dipole using this online calculator? To use this online calculator for Magnetic Field for Hertzian Dipole, enter Dipole Distance (r) & Dipole Wavelength (λ) and hit the calculate button. Here is how the Magnetic Field for Hertzian Dipole calculation can be explained with given input values -> 6773.038 = (1/8.3)^2*(cos(2*pi*8.3/20)+2*pi*8.3/20*sin(2*pi*8.3/20)).

### FAQ

What is Magnetic Field for Hertzian Dipole?
Magnetic Field for Hertzian Dipole is the component of the radiated electromagnetic wave, perpendicular to the electric field, varying with distance and angle, proportional to current and inversely proportional to distance and is represented as HΦ = (1/r)^2*(cos(2*pi*r/λ)+2*pi*r/λ*sin(2*pi*r/λ)) or Magnetic Field Component = (1/Dipole Distance)^2*(cos(2*pi*Dipole Distance/Dipole Wavelength)+2*pi*Dipole Distance/Dipole Wavelength*sin(2*pi*Dipole Distance/Dipole Wavelength)). Dipole Distance refers to the radial distance from the dipole & Dipole Wavelength refers to the wavelength of radiation emitted by the dipole.
How to calculate Magnetic Field for Hertzian Dipole?
Magnetic Field for Hertzian Dipole is the component of the radiated electromagnetic wave, perpendicular to the electric field, varying with distance and angle, proportional to current and inversely proportional to distance is calculated using Magnetic Field Component = (1/Dipole Distance)^2*(cos(2*pi*Dipole Distance/Dipole Wavelength)+2*pi*Dipole Distance/Dipole Wavelength*sin(2*pi*Dipole Distance/Dipole Wavelength)). To calculate Magnetic Field for Hertzian Dipole, you need Dipole Distance (r) & Dipole Wavelength (λ). With our tool, you need to enter the respective value for Dipole Distance & Dipole Wavelength 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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