An electric power plant can produce electricity at a fixed power P, but the plant operator is free to choose the volt- age V at which it is produced. This electricity is carried as an electric current I through a transmission line (resistance R) from the plant to the user, where it provides the use with electric power P'. (a) Show that the reduction in power AP = P –- P' due to transmission losses is given by AP = P²R/V². (b) In order to reduce power losses during transmission, should the operator choose V to be as large or as small as possible?

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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An electric power plant can produce electricity at a fixed
power P, but the plant operator is free to choose the volt-
age V at which it is produced. This electricity is carried as an
electric current I through a transmission line (resistance R)
from the plant to the user, where it provides the use
with electric power P'. (a) Show that the reduction in
power AP = P –- P' due to transmission losses is given by
AP = P²R/V². (b) In order to reduce power losses during
transmission, should the operator choose V to be as large
or as small as possible?
Transcribed Image Text:An electric power plant can produce electricity at a fixed power P, but the plant operator is free to choose the volt- age V at which it is produced. This electricity is carried as an electric current I through a transmission line (resistance R) from the plant to the user, where it provides the use with electric power P'. (a) Show that the reduction in power AP = P –- P' due to transmission losses is given by AP = P²R/V². (b) In order to reduce power losses during transmission, should the operator choose V to be as large or as small as possible?
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