Household electricity is supplied in the form of alternating current that varies from

Chapter 7, Problem 66

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Household electricity is supplied in the form of alternating current that varies from 155 V to 2155 V with a frequency of 60 cycles per second (Hz). The voltage is thus given by the equation Estd 155 sins120td where t is the time in seconds. Voltmeters read the RMS (root-mean-square) voltage, which is the square root of the average value of fEstdg2 over one cycle. (a) Calculate the RMS voltage of household current. (b) Many electric stoves require an RMS voltage of 220 V. Find the corresponding amplitude A needed for the voltage Estd A sins120td.

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