Electric Field for Hertzian Dipole Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Electromagnetic Radiation and Antennas

Guided Waves in Field Theory

Magnetic Forces and Materials

✖Intrinsic Impedance is a property of a medium that represents the resistance it offers to the propagation of electromagnetic waves.ⓘ Intrinsic Impedance [η]			+10% -10%
✖Magnetic Field Component refers to the azimuthal component of the magnetic field.ⓘ Magnetic Field Component [H_Φ]			+10% -10%

✖Electric Field Component refers to the azimuthal component of the electric field.ⓘ Electric Field for Hertzian Dipole [E_Φ]

⎘ Copy

👎

Formula

✖

Electric Field for Hertzian Dipole

Formula

`"E"_{"Φ"} = "η"*"H"_{"Φ"}`

Example

`"69.75V/m"="9.3Ω"*"7.5A/m"`

Calculator

LaTeX

Reset

👍

Download Electronics Formula PDF PDF Image

Electric Field for Hertzian Dipole Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electric Field Component = Intrinsic Impedance*Magnetic Field Component
E_Φ = η*H_Φ
This formula uses 3 Variables

Variables Used

Electric Field Component - (Measured in Volt per Meter) - Electric Field Component refers to the azimuthal component of the electric field.
Intrinsic Impedance - (Measured in Ohm) - Intrinsic Impedance is a property of a medium that represents the resistance it offers to the propagation of electromagnetic waves.
Magnetic Field Component - (Measured in Ampere per Meter) - Magnetic Field Component refers to the azimuthal component of the magnetic field.

STEP 1: Convert Input(s) to Base Unit

Intrinsic Impedance: 9.3 Ohm --> 9.3 Ohm No Conversion Required
Magnetic Field Component: 7.5 Ampere per Meter --> 7.5 Ampere per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_Φ = η*H_Φ --> 9.3*7.5

Evaluating ... ...

E_Φ = 69.75

STEP 3: Convert Result to Output's Unit

69.75 Volt per Meter --> No Conversion Required

FINAL ANSWER

69.75 Volt per Meter <-- Electric Field Component

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Electromagnetic Field Theory » Electromagnetic Radiation and Antennas » Electric Field for Hertzian Dipole

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

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

< 17 Electromagnetic Radiation and Antennas Calculators

Average Power Density of Half-Wave Dipole

Go Average Power Density = (0.609*Intrinsic Impedance of Medium*Amplitude of Oscillating Current^2)/(4*pi^2*Radial Distance From Antenna^2)*sin((((Angular Frequency of Half Wave Dipole*Time)-(pi/Length of Antenna)*Radial Distance From Antenna))*pi/180)^2

Magnetic Field for Hertzian Dipole

Go Magnetic Field Component = (1/Dipole Distance)^2*(cos(2*pi*Dipole Distance/Wavelength of Dipole)+2*pi*Dipole Distance/Wavelength of Dipole*sin(2*pi*Dipole Distance/Wavelength of Dipole))

Maximum Power Density of Half-Wave Dipole

Go Maximum Power Density = (Intrinsic Impedance of Medium*Amplitude of Oscillating Current^2)/(4*pi^2*Radial Distance From Antenna^2)*sin((((Angular Frequency of Half Wave Dipole*Time)-(pi/Length of Antenna)*Radial Distance From Antenna))*pi/180)^2

Power Radiated by Half-Wave Dipole

Go Power Radiated by Half-wave Dipole = ((0.609*Intrinsic Impedance of Medium*(Amplitude of Oscillating Current)^2)/pi)*sin(((Angular Frequency of Half Wave Dipole*Time)-((pi/Length of Antenna)*Radial Distance From Antenna))*pi/180)^2

Power that Crosses Surface of Sphere

Go Power Crossed at Sphere Surface = pi*((Amplitude of Oscillating Current*Wavenumber*Short Antenna Length)/(4*pi))^2*Intrinsic Impedance of Medium*(int(sin(Theta)^3*x,x,0,pi))

Electric Field due to N Point Charges

Go Electric Field due to N Point Charges = sum(x,1,Number of Point Charges,(Charge)/(4*pi*[Permitivity-vacuum]*(Distance from Electric Field-Charge Distance)^2))

Poynting Vector Magnitude

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

Total Radiated Power in Free Space

Go Total Radiated Power in Free Space = 30*Amplitude of Oscillating Current^2*int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi)

Radiated Resistance

Go Radiation Resistance = 60*(int((Dipole Antenna Pattern Function)^2*sin(Theta)*x,x,0,pi))

Time Average Radiated Power of Half-Wave Dipole

Go Time Average Radiated Power = (((Amplitude of Oscillating Current)^2)/2)*((0.609*Intrinsic Impedance of Medium)/pi)

Polarization

Go Polarization = Electric Susceptibility*[Permitivity-vacuum]*Electric Field Strength

Radiation Resistance of Half-Wave Dipole

Go Radiation Resistance of Half-wave Dipole = (0.609*Intrinsic Impedance of Medium)/pi

Directivity of Half-Wave Dipole

Go Directivity of Half Wave Dipole = Maximum Power Density/Average Power Density

Electric Field for Hertzian Dipole

Go Electric Field Component = Intrinsic Impedance*Magnetic Field Component

Radiation Efficiency of Antenna

Go Radiation Efficiency of Antenna = Maximum Gain/Maximum Directivity

Average Power

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

Radiation Resistance of Antenna

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

Electric Field for Hertzian Dipole Formula

Electric Field Component = Intrinsic Impedance*Magnetic Field Component
E_Φ = η*H_Φ

How does intrinsic impedance impact wave speed?

In a medium with higher intrinsic impedance, the wave speed will be slower and vice-versa.A higher intrinsic impedance implies a greater "resistance" the medium offers to the propagating wave, causing the electric and magnetic fields to be more tightly coupled.

How to Calculate Electric Field for Hertzian Dipole?

Electric Field for Hertzian Dipole calculator uses Electric Field Component = Intrinsic Impedance*Magnetic Field Component to calculate the Electric Field Component, The Electric Field for Hertzian Dipole formula states that the electric field strength is directly proportional to the magnetic field strength, with the intrinsic impedance of the medium acting as the proportionality constant. Electric Field Component is denoted by E_Φ symbol.

How to calculate Electric Field for Hertzian Dipole using this online calculator? To use this online calculator for Electric Field for Hertzian Dipole, enter Intrinsic Impedance (η) & Magnetic Field Component (H_Φ) and hit the calculate button. Here is how the Electric Field for Hertzian Dipole calculation can be explained with given input values -> 69.75 = 9.3*7.5.

FAQ

What is Electric Field for Hertzian Dipole?

The Electric Field for Hertzian Dipole formula states that the electric field strength is directly proportional to the magnetic field strength, with the intrinsic impedance of the medium acting as the proportionality constant and is represented as E_Φ = η*H_Φ or Electric Field Component = Intrinsic Impedance*Magnetic Field Component. Intrinsic Impedance is a property of a medium that represents the resistance it offers to the propagation of electromagnetic waves & Magnetic Field Component refers to the azimuthal component of the magnetic field.

How to calculate Electric Field for Hertzian Dipole?

The Electric Field for Hertzian Dipole formula states that the electric field strength is directly proportional to the magnetic field strength, with the intrinsic impedance of the medium acting as the proportionality constant is calculated using Electric Field Component = Intrinsic Impedance*Magnetic Field Component. To calculate Electric Field for Hertzian Dipole, you need Intrinsic Impedance (η) & Magnetic Field Component (H_Φ). With our tool, you need to enter the respective value for Intrinsic Impedance & Magnetic Field Component and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search