Sunlight just outside Earth's atmosphere has an intensity of 1.40 kW / m^2 . Calculate (a) Em a

Name: Problem 13, Chapter 33: Fundamentals of Physics
Uploaded: 2021-07-05T16:33:59-08:00
Duration: 2 min 3 s
Channel: Sheh Lit Chang
Description: Sunlight just outside Earth's atmosphere has an intensity of 1.40 kW / m^2 . Calculate (a) Em and (b) Bm for sunlight there, assuming it to be a plane wave.

step 1 In this question, we are given the intensity of sunlight just outside the Earth's atmosphere. An

Question

Sunlight just outside Earth's atmosphere has an intensity of $1.40 \mathrm{~kW} / \mathrm{m}^{2} .$ Calculate (a) $E_{m}$ and (b) $B_{m}$ for sunlight there, assuming it to be a plane wave.

   Sunlight just outside Earth's atmosphere has an intensity of $1.40 \mathrm{~kW} / \mathrm{m}^{2} .$ Calculate (a) $E_{m}$ and (b) $B_{m}$ for sunlight there, assuming it to be a plane wave.

Fundamentals of Physics

David Halliday,… 10th Edition

Chapter 33, Problem 13

Instant Answer

Solved by Expert Sheh Lit Chang

07/05/2021

Step 1

40 \, \text{kW/m}^2 = 1400 \, \text{W/m}^2$. We can use the formula for the intensity of a plane wave, which is given by $I = \frac{1}{2} \epsilon_0 c E_m^2$, where $\epsilon_0$ is the permittivity of free space, $c$ is the speed of light, and $E_m$ is the maximum Show more…

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Sunlight just outside Earth's atmosphere has an intensity of $1.40 \mathrm{~kW} / \mathrm{m}^{2} .$ Calculate (a) $E_{m}$ and (b) $B_{m}$ for sunlight there, assuming it to be a plane wave.

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Key Concepts

Relationship Between Electric and Magnetic Fields in Vacuum

In free space, the electric and magnetic fields in an electromagnetic plane wave are intrinsically related. The amplitudes of these fields satisfy the relation E? = c B?, meaning that the magnetic field amplitude can be directly determined by dividing the electric field amplitude by the speed of light. This relationship is a fundamental property of electromagnetic wave propagation in vacuum.

Electromagnetic Wave Intensity

This concept deals with the measure of power per unit area carried by an electromagnetic wave. In free space, intensity is directly related to the amplitude of the electric field through the formula I = (1/2) c ?? E?² for sinusoidal waves, where c is the speed of light and ?? is the permittivity of free space. This relationship allows one to calculate the field amplitudes when the intensity of the wave is known.

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