Mathematics, 25.02.2020 18:58, NavyCo

Household electricity in a particular country is supplied in the form of alternating current that varies from 200 V to −200 V with a frequency of 100 cycles per second (Hz). The voltage is thus given by the equation E(t) = 200 sin(200πt), 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 [E(t)]^2 over one cycle.
(a) Calculate the RMS voltage of household current in this particular country. (Round your answer to the nearest whole number of volts.)
(b) Many electric stoves require an RMS voltage of 220 V.
Find the corresponding amplitude A needed for the voltage E(t) = A sin(200(π)t). (Round your answer to the nearest whole number of volts.)

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Household electricity in a particular country is supplied in the form of alternating current that va...