Difference between revisions of "Chapter 25 Problem 35"
From 105/106 Lecture Notes by OBM
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| − | An electric power plant can produce electricity at a fixed power <math>P</math>, but the plant operator is free to choose the voltage <math>V</math> at which it is produced. This electricity is carried as an electric current <math>I</math> through a transmission line (resistance <math>R</math>) from the plant to the user, where it provides the user with electric power <math>P^\prime</math> | + | An electric power plant can produce electricity at a fixed power <math>P</math>, but the plant operator is free to choose the voltage <math>V</math> at which it is produced. This electricity is carried as an electric current <math> I </math> through a transmission line (resistance <math>R</math>) from the plant to the user, where it provides the user with electric power <math>P^\prime</math> |
(a) Show that the reduction in power <math>\Delta P = P - P^\prime</math> due to transmission losses is given by | (a) Show that the reduction in power <math>\Delta P = P - P^\prime</math> due to transmission losses is given by | ||
Revision as of 14:33, 6 April 2020
Problem
An electric power plant can produce electricity at a fixed power , but the plant operator is free to choose the voltage at which it is produced. This electricity is carried as an electric current through a transmission line (resistance ) from the plant to the user, where it provides the user with electric power
(a) Show that the reduction in power due to transmission losses is given by
(b) In order to reduce power losses during transmission, should the operator choose to be as large or as small as possible?
