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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?

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Physics 102 Electricity and Magnetism

Chapter 24

Electromagnetic Waves

University of Washington

Hope College

University of Sheffield

Lectures

11:53

In physics, a charge is a …

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The electric force is a ph…

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Integrated ConceptsAss…

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A heat lamp emits infrared…

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$\bullet$$\bullet$ The ene…

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Assume the intensity of so…

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The energy flow to the ear…

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$\bullet$ The Solar Consta…

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The Sun is approximately a…

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(a) Find the total power r…

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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

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