Question

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

Household electricity in a particular country is supplied in the form of alternating current that varies from 155 V to −155 V

with a frequency of 30 cycles per second (Hz). The voltage is thus given by the equation E(t) = 155 sin(60πt)

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(60πt). (Round your answer to the nearest whole number of volts.)
A =  

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