An electromagnetic wave with a peak magnetic field component of 3.20 × 10−7 T carries what average power per unit area? (μ0 = 4π × 10−7 T⋅m/A, ε0 = 8.85 × 10−12 C2/N⋅m2 and c = 3.00 × 108 m/s)

Explanation:

Average power per unit area =

I avg = c B₀² / 2μ₀

= 3 X 10⁸ X (3.2 X 10⁻⁷)² / 2 X 4π × 10⁻⁷

= 1.22 X 10

12 . 2 W / m²

The average power per unit area is 12.22 W/m²

Explanation:

Given that,

Peak magnetic field

We need to calculate the peak electric field

Using formula of electric filed

Put the value into the formula

We need to calculate the average power per unit area

Using formula of average power

Put the value into the formula

Hence, The average power per unit area is 12.22 W/m²

you'd use the equation that establishes a relationship between  energy  and  wavelength, which looks like this

e=h⋅cλ, where

λ  - the wavelength of the photon; c  - the speed of light, usually given as  3⋅108m/s; h  -  planck's constant, equal to  6.626⋅10−34j s

plug the value you were given for the energy of the photon in the above equation to get the wavelength

e=h⋅cλ⇒λ=h⋅ce

λ=6.626⋅10−34js⋅3⋅108ms−1.257⋅10−24j=1.581⋅10−1m