Household electricity In a particular country Is supplied In the form of alterna

Question

Household electricity In a particular country Is supplied In the form of alternating current that vanes from 130 V to -130 V with a frequency of SO cycles per second (Hz). The voltage Is thus given by the equation where f is the time In seconds. Voltmeters read the RMS (root-mean-square) voltage, which Is the square root of the average value of (E(f))^2 over one cycle. Calculate the RMS voltage of household current In this particular country. (Round your answer to the nearest whole number of volts.) ' Many electric stoves require an RMS voltage of 220 V Find the corresponding amplitude A needed for the voltage C(f) - A sln(100irf). (Round your answer to the nearest whole number of volts.)

Explanation / Answer

VRMS=VMAX/sqrt(2)

a) Vrms=91.923=100(approx)

b) A=Vrms*sqrt(2)=311.126=311(approx)

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