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 70 cycles per second (Hz). The voltage is thus given by the equation E(t) = 200 sin(140nt) 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)1? 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.) v (b) Many electric stoves require an RMS voltage of 220 V. Find the corresponding amplitude A needed for the voltage E(t) = A sin(140nt). (Round your answer to the nearest whole number of volts.) A =

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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 70 cycles per second (Hz). The voltage is thus given by the equation
E(t) = 200 sin(140nt)
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.)
V
(b) Many electric stoves require an RMS voltage of 220 V. Find the corresponding amplitude A needed for the voltage E(t) = A sin(140nt). (Round your answer to the nearest whole number of volts.)
A =
Transcribed Image Text: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 70 cycles per second (Hz). The voltage is thus given by the equation E(t) = 200 sin(140nt) 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.) V (b) Many electric stoves require an RMS voltage of 220 V. Find the corresponding amplitude A needed for the voltage E(t) = A sin(140nt). (Round your answer to the nearest whole number of volts.) A =
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