The intensity of the light from a bulb incide | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The intensity $I$ of an electromagnetic wave is related to the electric field amplitude $E_0$ by the formula: $I = \frac{1}{2} \epsilon_0 E_0^2 c$

Vedclass · Accepted Answer

$43$

Vedclass · Answer

(B) The intensity $I$ of an electromagnetic wave is related to the electric field amplitude $E_0$ by the formula: $I = \frac{1}{2} \epsilon_0 E_0^2 c$.Rearranging for $E_0$: $E_0 = \sqrt{\frac{2I}{\epsilon_0 c}}$.Substituting the given values: $E_0 = \sqrt{\frac{2 	imes 0.22}{8.85 	imes 10^{-12} 	imes 3 	imes 10^8}} = \sqrt{\frac{0.44}{26.55 	imes 10^{-4}}} = \sqrt{165.72} \approx 12.873 \, V/m$.The amplitude of the magnetic field $B_0$ is given by $B_0 = \frac{E_0}{c}$.$B_0 = \frac{12.873}{3 	imes 10^8} = 4.291 	imes 10^{-8} \, T$.Expressing this in terms of $10^{-9} \, T$: $B_0 = 42.91 	imes 10^{-9} \, T \approx 43 	imes 10^{-9} \, T$.

Similar Questions

The electric field part of an electromagnetic wave in a medium is represented by $E_x=0, E_y=2.5 \frac{N}{C} \cos \left[ (2\pi \times 10^6 \frac{rad}{s})t - (\pi \times 10^{-2} \frac{rad}{m})x \right]$,and $E_z=0$. The wave is

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

In an electromagnetic wave,the phase difference between the electric and magnetic field vectors $\vec{E}$ and $\vec{B}$ is:

The dielectric constant of a medium is $8$ and its relative permeability is $200$. If an electromagnetic wave of frequency $100 \text{ MHz}$ travels in this medium,then its wavelength is

If the intensity of an electromagnetic wave is $0.02 \ W/m^2$ and its velocity in free space is $3 \times 10^8 \ m/s$,then the energy density of the radiation is ..... $J/m^3$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module