In this problem will be taking a look at energy transfer through electromagnetic waves. So in this scenario, we have a window with a cross sectional area of five square meters, and we have a sustained source of light coming through this window. And we've measured the electric field, Um, on average, Meaning root, mean square, um, to be of value, which is 0.2 full meters and the way to go from root mean square to, um, the max energy that is in the equation that you might be familiar with, which, all right down here, um, which is that I equals one half, um, Epsilon, Not permissive ity times the speed of light times E max. Which is kind of what we're interested in that year. The way to go from our MST max is to take RMS. So let's say E r mess is equal to e max divided by the square root of two. Because this is a average value that is convenient for everyday measurements. So we have this information here, so let's use that, um, to find out the total energy transfer and what I mean by energy transfer is work. So work is power over time. This year is essentially power per area. So what we want is this power. So we need to multiply this intensity by area to get power, and then we have to multiply power by time to get work. So let's let's do that so we can plug in, Um, for i t to use this given value. Varmus. So we're gonna have, um, essentially route two squared, which is to So it's gonna be to over to times e not time. See, kinds e are a mess, which you, I'm sure will notice, Is simply, um do you not see times e r mess? So that's our, um, intensity. So if we want to straight away get our power from this, we can just multiply by a which we were given up here. So then, in order to get work, we just need to multiply this p by time. So it's gonna be e not time, See times e r. Miss squared. I had to put that squared in there from right here. Um, times a times time. So let's write this whole thing out with the numbers plugged in. So it's gonna be 8.85 times e to the negative 12 for permissive ity of free space times three point or three times 10 to the eighth meters per second times this armistice value your 0.2 square times 0.5 m squared times 30 seconds because that's the duration of the time that this light is coming through the window. So in total, for a result, the value that you're gonna get is going to be 15.9 micro jewels, not that much energy.