in steps this is the first step very flat around NUMBER_TOKEN millivolts indicating that the line is acting like a resistor here the supply turns on and the waves travel all the way and hit the short circuit here and return all the way carrying the information and we enter the next step so any length of transmission line is a momentary resistor at high speeds that's not the entire story if i zoom in right at the beginning you see initially i have a spike of voltage close to the battery voltage because my supply rises at one nanosecond and then it slowly ramps up into the first step both the spike and the ramp into the step are inaccuracies due to my model i put the line capacitance first that acts like a short circuit at high speed that creates the voltage spike and then discharges then the inductance causes the ramp into the first step this doesn't affect the overall result though but the truth is the inductors and capacitors exist on the line at the same time the simulation would be much more accurate but almost impossible if we made our segments much smaller maybe every one micrometer instead of one kilometers until the circuit would approach a true resistance property all these oscillations are also due to inaccurate model anyway if i change the inductance and capacitance value so that the line impedance matches half the lamp impedance or both lines together match the lamp resistance and simulate you see the lamp voltage would jump right away to half the supply voltage there would be no ringing and after the wave would complete a round trip over the line the voltage would jump to the full supply voltage this is the best case for derek's question the lamp voltage would jump right away to a decent voltage at the speed of light and after a one second round trip over NUMBER_TOKEN kilometers it would jump to the full voltage but with more reasonably picked values for our case where nothing matches properly it will take multiple steps for the lab voltage to settle and each one of these steps is one second so where would you pick your voltage and current threshold to turn the lamp on low after one second high after NUMBER_TOKEN seconds or to achieve your one over c second time you just say any current turns your lamp on and forget to address the existence of leakage current that would keep the lamp on forever so was derek's answer wrong yes on a minor technicality and because he tried to trick me into giving the wrong answer but his question raises a great insight into electromagnetic waves i guess if you also watch my video as a compliment what would happen if lines were giant circles well you should visit my sponsor audible no more excuses like i have to cut all this wood and i have no time to read books you'll use my link URL_TOKEN electroboom or in us text electroboom to NUMBER_TOKEN-NUMBER_TOKEN and this season for a limited time you'll get NUMBER_TOKEN percent of first three months that's only NUMBER_TOKEN a month and you start to listen to any audio title from the largest selection of audiobooks hands-free so you get to cut all the wood you need and expand your mind wow i was browsing titles on audible and saw green lights by matthew mcconaughey and i was like what does he have to say i listened to the sample and i was like dang he narrates so well and the story is pulling me in we should listen to this together it's perfect for commuting at the gym or just causing
START_SPONSOR_TOKEN well you should visit my sponsor audible no more excuses like i have to cut all this wood and i have no time to read books you'll use my link URL_TOKEN electroboom or in us text electroboom to NUMBER_TOKEN-NUMBER_TOKEN and this season for a limited time you'll get NUMBER_TOKEN percent of first three months that's only NUMBER_TOKEN a month and you start to listen to any audio title from the largest selection of audiobooks hands-free so you get to cut all the wood you need and expand your mind wow i was browsing titles on audible and saw green lights by matthew mcconaughey and i was like what does he have to say i listened to the sample and i was like dang he narrates so well and the story is pulling me in we should listen to this together it's perfect for commuting at the gym or just causing END_SPONSOR_TOKEN