A point source of electromagnetic radiation has an average power output of 800, W. maximum value of

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8.Electromagnetic waves

medium

A point source of electromagnetic radiation has an average power output of $800\, W.$ The maximum value of electric field at a distance $4.0 \,m$ from the source is....$V/m$

$64.7$

$57.8 $

$56.72 $

$54.77$

Solution

(d)Intensity of $EM$ wave is given by
$I = \frac{P}{{4\pi {R^2}}} = {v_{av}}.c = \frac{1}{2}{\varepsilon _0}E_0^2 \times c$
==> ${E_0} = \sqrt {\frac{P}{{2\pi {R^2}{\varepsilon _0}c}}} $
$ = \sqrt {\frac{{800}}{{2 \times 3.14 \times {{(4)}^2} \times 8.85 \times {{10}^{ – 12}} \times 3 \times {{10}^8}}}} $
$= 54.77 \frac{V}{m}$

Standard 12

Physics

The magnetic field in a plane electromagnetic wave is given by

${B_y} = \left( {2 \times {{10}^{ – 7}}} \right)\sin \left( {0.5 \times {{10}^3}x + 1.5 \times {{10}^{11}}t} \right)T$

$(a)$ What is the wavelength and frequency of the wave?

$(b)$ Write an expression for the electric field.

medium

Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by ${E}=20 \cos \left(2 \times 10^{10} {t}-200 {x}\right) \,{V} / {m} .$ The dielectric constant of the medium is equal to :

(Take $\mu_{{r}}=1$ )

hard

(JEE MAIN-2021)

The energy of an electromagnetic wave contained in a small volume oscillates with

medium

(JEE MAIN-2023)

In a plane electromagnetic wave travelling in free space, the electric field component oscillates sinusoidally at a frequency of $2.0 \times 10^{10}\,Hz$ and amplitude $48\,Vm ^{-1}$. Then the amplitude of oscillating magnetic field is : (Speed of light in free space $=3 \times 10^8\,m s ^{-1}$)

easy

(NEET-2023)

Which of the following is not transported by electromagnetic waves?

easy

A point source of electromagnetic radiation has an average power output of $800\, W.$ The maximum value of electric field at a distance $4.0 \,m$ from the source is....$V/m$

Solution

Similar Questions

The magnetic field in a plane electromagnetic wave is given by ${B_y} = \left( {2 \times {{10}^{ – 7}}} \right)\sin \left( {0.5 \times {{10}^3}x + 1.5 \times {{10}^{11}}t} \right)T$ $(a)$ What is the wavelength and frequency of the wave? $(b)$ Write an expression for the electric field.

Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by ${E}=20 \cos \left(2 \times 10^{10} {t}-200 {x}\right) \,{V} / {m} .$ The dielectric constant of the medium is equal to : (Take $\mu_{{r}}=1$ )

The energy of an electromagnetic wave contained in a small volume oscillates with

In a plane electromagnetic wave travelling in free space, the electric field component oscillates sinusoidally at a frequency of $2.0 \times 10^{10}\,Hz$ and amplitude $48\,Vm ^{-1}$. Then the amplitude of oscillating magnetic field is : (Speed of light in free space $=3 \times 10^8\,m s ^{-1}$)

Which of the following is not transported by electromagnetic waves?

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The magnetic field in a plane electromagnetic wave is given by

${B_y} = \left( {2 \times {{10}^{ – 7}}} \right)\sin \left( {0.5 \times {{10}^3}x + 1.5 \times {{10}^{11}}t} \right)T$

$(a)$ What is the wavelength and frequency of the wave?

$(b)$ Write an expression for the electric field.

Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by ${E}=20 \cos \left(2 \times 10^{10} {t}-200 {x}\right) \,{V} / {m} .$ The dielectric constant of the medium is equal to :

(Take $\mu_{{r}}=1$ )