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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(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 =

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 =

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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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