- #1

Stevecgz

- 68

- 0

I don't understand what the following problem is asking for:

Household electricity is supplied in the form of alternating current that varies from 155 V to -155 V with a frequency of 60 cycles per second (Hx). The voltage is thus given by the equation:

[tex]E(t) = 155\sin(120\pi t)[/tex]

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 [tex][E(t)]^2[/tex] over one cycle.

a. Calculate the RMS voltage of household current.

b. Many electric stoves requre an RMS voltage of 220 V. Find the corresponding amplitude A needed for the voltage [tex]E(t)=A\sin(120\pi t)[/tex].

If someone could explain to me what they are asking for it would be appreciated.

Steve

Household electricity is supplied in the form of alternating current that varies from 155 V to -155 V with a frequency of 60 cycles per second (Hx). The voltage is thus given by the equation:

[tex]E(t) = 155\sin(120\pi t)[/tex]

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 [tex][E(t)]^2[/tex] over one cycle.

a. Calculate the RMS voltage of household current.

b. Many electric stoves requre an RMS voltage of 220 V. Find the corresponding amplitude A needed for the voltage [tex]E(t)=A\sin(120\pi t)[/tex].

If someone could explain to me what they are asking for it would be appreciated.

Steve

Last edited: