Household electricity is supplied in the form of alternating current that varies from 155 V to ‒ 155 V with a frequency of 60 cycles per second (Hz). The voltage is thus given by the equation
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.
(b) Many electric stoves require an RMS voltage of 220 V. Find the corresponding amplitude A needed for the voltage E(t) = A sin(l20πt).
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Chapter 7 Solutions
Calculus: Early Transcendentals
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