by the equation E(t) = 160 sin(100mt), where it 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 cycl (a) Calculate the RMS voltage (in V) of household current. (Round your answer to the nearest whole number.) V (b) Many electric stoves require an RMS voltage of 220 V. Find the corresponding amplitude A (in V) needed for the voltage E(t) = A sin(100πt). (Round nearest whole number.) A = V

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Household electricity is supplied in the form of alternating current that varies from 160 V to -160 V with a frequency of 50 cycles per second (Hz). The voltage is thus given
by the equation
E(t) = 160 sin(100nt),
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 (in V) of household current. (Round your answer to the nearest whole number.)
V
(b) Many electric stoves require an RMS voltage of 220 V. Find the corresponding amplitude A (in V) needed for the voltage E(t) = A sin(100πt). (Round your answer to the
nearest whole number.)
A =
V
Transcribed Image Text:Household electricity is supplied in the form of alternating current that varies from 160 V to -160 V with a frequency of 50 cycles per second (Hz). The voltage is thus given by the equation E(t) = 160 sin(100nt), 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 (in V) of household current. (Round your answer to the nearest whole number.) V (b) Many electric stoves require an RMS voltage of 220 V. Find the corresponding amplitude A (in V) needed for the voltage E(t) = A sin(100πt). (Round your answer to the nearest whole number.) A = V
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