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Ch 31: Alternating Current

Chapter 31, Problem 31

Off to Europe! You plan to take your hair dryer to Europe, where the electrical outlets put out 240 V instead of the 120 V seen in the United States. The dryer puts out 1600 W at 120 V. (b) What current will your dryer draw from a European outlet? (c) What resistance will your dryer appear to have when operated at 240 V?

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Hi, everyone. In this practice problem, we are being asked to calculate the current drawn by a converter and also the converters perceived for assistance. We will have a US corporation manufacturing 1000 dishwashers at 1400 watt at 100 and 20 fold. Initially intended to be sold in the US. However, they now have to be shipped in the Middle East. So they include a dual channel voltage converter which can convert into a from 100 and 10 slash 100 and 20 fold to slash 240 fold and vice versa. The standard household electric power in the Middle East is fold while in the US is 100 and 20 fold. Calculate the current drawn by the converter connected to a dishwasher when plucked into a 240 FT line and also determine the converters perceive resistance when connected to the 240 fault. So the options given are a 5.83 M and 41.1 OB 2.24 M and 21. OC 7.36 M and 32.50. And lastly D 11.1 M and 59.00. So the power output slash input of the transformer is going to equal to the power of the dishwasher. We are given the power from the spec of the dishwasher. So RP will be equals to 1400 watt. And we are going to calculate the current drawn by the converter connected to a uh plugged into a 240 fault line. So in this case, the voltage is going to be 240 fold. So we are given the power and the voltage and we want to determine I from the power expression. V one is going to be the primary voltage and it's going to be fold. And we need to find I one by using the formula of B equals to V one multiplied by I one. So P one multiplied by I one will equals to B which is going to equals to 1400 watt. So 1400 watt will equals to 240 fold multiplied by I one. Therefore, I one will come out to a value of 5.83 A through rearrangement and calculation. Now we need to find the effective resistance from S law. This is going to answer the first part of the problem statement. And now for the second part, we're going to employ S law where V will equals to I multiplied by R and R effective, which is being asked or the converters perceived resistance when connected to 244 through re rearrangement will then equals to V divided by I or V one divided by I one which will come out to be 244. The fold divided by I or I one that we just calculated, which is 5.83 amp calculating this the um effective resistance or the converters versus resistance will come up to a value of 41.10. And this two will correspond to option A. So option A with the current drawn by the converter connected to the dishwasher when plugged into a 240 fault line to be 5.83 A and the converters perce for system when connected to a 240 fold is 41. will be the answer to this particular practice problem. So that'll be it for this video. If you guys still have any sort of confusion, please make sure to check out our adolescent videos on similar topics. But other than that, that'll be it for this video. Thank you.