Problem

What is the intensity of an electromagnetic wave …

00:56

Problem 29 Hard Difficulty

Integrated Concepts
(a) Calculate the rate in watts at which heat transfer through radiation occurs (almost entirely in the infrared) from 1.0 $\mathrm{m}^{2}$ of the Earth's surface at night. Assume the emissivity is $0.90,$
the temperature of the Earth is $15^{\circ} \mathrm{C},$ and that of outer space is 2.7 $\mathrm{K}$ (b) Compare the intensity of this radiation with that coming to the Earth from the Sun during the day, which averages about $800 \mathrm{W} / \mathrm{m}^{2},$ only half of which is absorbed. (c) What is the maximum magnetic field strength in the outgoing radiation, assuming it is a continuous wave?

Answer

See step for solution

Related Courses

Physics 102 Electricity and Magnetism

College Physics for AP® Courses

Chapter 24

Electromagnetic Waves

Discussion

You must be signed in to discuss.

Top Physics 102 Electricity and Magnetism Educators

Watch More Solved Questions in Chapter 24

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Video Transcript

in number 29. We want to know the rate at which heat is transferred through radiation through a meter squared of the earth's surface. It's going to use our rate of hand heat transfer equation. Or that's gonna be a sigma, which is bolts ones, constant times the passivity. It seems the area names the difference between temperature to the fourth power temperature one to the fourth power. I'm looking for this and looking for the rate I'm bolts were in constant. It's a constant 5.67 times 10 to the negative eight. I'm given that incivility this 0.9. Given the area, there's the one meter squared. Um, remember, this is the temperature of the environment. So that was given here. That was the temperature of space. And then those suits the temperature of the earth was already and Calvin. But I need to change this to Kelvin, so I'm gonna add to 73 to them. So temperature, too. 2.7 raised in the fourth, power minus temperature. One after it. Add that that is to 88 that's raised in the fourth power. All right. Raised to the power, I subtract, multiply. I get that. This rate of heat transfer is negatives. 3 51 What in part, B? We want to know how that compares to the intensity of the radiation coming to Earth, and they tell us that there's 800 watts, but only half of that is getting absorb. Somebody only used 400. Some comparing this to half of that. So thrifty. One over 400. So that is 88% of it. And then port. See what we went? We wonder what is the maximum magnetic field. So now I'm gonna use the intensity which I know. I found that ISS. So this I know is the 3 51 that I found see speed of late uh, Maxim magnetic field, which is what I'm looking for over too, do not which is the primitive ity permeability of free space. That is for pie times 10 to the negative seven I calls multiply. Here it divide, I take a square root and I'm getting my maximum is 1.72 It's times 10 11 86 and the magnetic field he measured in Tesla's

We have video lessons for 95.57% of the questions in this textbook