Household electricity in a particular country is supplied in the form of alternating current that varies from 120 V to -120 V with a frequency of 50 cycles per second (Hz). The voltage is thus given by the equation E(t) = 120 sin(100at) 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)]? 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 needed for the voltage E(t) = A sin(100nt). (Round your answer to the nearest whole number of volts.) A =

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.2MCQ: If the rms phasor of a voltage is given by V=12060 volts, then the corresponding v(t) is given by...
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Household electricity in a particular country is supplied in the form of alternating current that varies from 120 V to -120 V with a frequency of 50 cycles per second (Hz). The voltage is thus given by the equation
E(t) = 120 sin(100rt)
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(100rt). (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 120 V to -120 V with a frequency of 50 cycles per second (Hz). The voltage is thus given by the equation E(t) = 120 sin(100rt) 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(100rt). (Round your answer to the nearest whole number of volts.) A =
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