Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz). The voltage is thus given by the function E(t), 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. Calculate the RMS voltage of household current. Round your answer to the nearest integer. $E(t)=230 \sin (120 \pi t)$

Question

Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz). The voltage is thus given by the function E(t), 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. Calculate the RMS voltage of household current. Round your answer to the nearest integer.

E(t)=230 \sin (120 \pi t)

Quizplus · Accepted Answer

The Answer of Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz). The voltage is thus given by the function E(t), 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. Calculate the RMS voltage of household current. Round your answer to the nearest integer. $E(t)=230 \sin (120 \pi t)$

Household Electricity Is Supplied in the Form of Alternating Current [E(t)]2[E(t)]^{2}[E(t)]2

Household Electricity Is Supplied in the Form of Alternating Current $[E(t)]^{2}$