8.Electromagnetic waves
medium

A radio transmitter transmits at $830\, kHz$. At a certain distance from the transmitter magnetic field has amplitude $4.82\times10^{-11}\,T$. The electric field and the wavelength are respectively

A

$0.014\,N/C, 36\,m$

B

$0.14\,N/C, 36\,m$

C

$0.14\,N/C, 360\,m$

D

$0.014\,N/C, 360\,m$

(AIEEE-2012)

Solution

Frequency of $EM$ wave $v=830 \,\mathrm{KHz}$

$=830 \times 10^{3} \,\mathrm{Hz}$

Magnetic field. $B=4.82 \times 10^{-11}\, \mathrm{T}$

As we know. frequency, $v=\frac{c}{\lambda}$ or 

$\lambda=\frac{c}{r}=\frac{3 \times 10^{8}}{830 \times 10^{2}}$

$\lambda =360\, \mathrm{m}$ 

$\text { And. } E =B C=4.82 \times 10^{-11} \times 3 \times 10^{8} $

$=0.014 \,\mathrm{N} / \mathrm{C} $

Standard 12
Physics

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