1. The problem statement, all variables and given/known data An electric power plant can produce electricity at a fixed power P, but the plant operator is free to choose the voltage 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 user with electric power P' (a) Show that the reduction in power (P-P')due to transmission losses is given by (P-P'=P^2 x R / V^2 (b) In order to reduce power losses during transmission, should the operator choose V to be as large or as small as possible? 2. Relevant equations P=I xV = V^2 / R = I^2 x R 3. The attempt at a solution I think the power is lost due to long lines as R is increased by the length of the conductor. So due to formula(V^2 / R), we apply higher voltage to compensate this loss so that power is transmitted nevertheless as we wanted to be.So is there two Rs? R that leaves the plant, I mean right after the plant the length of the conductor is short so the R is small. And than comes R' which depends on the length of the conductor? Do they apply small voltage to the power leaving the plant BUT then increase it before the transmission? And I assume current is the same through the whole line. How shall I calculate P-P' ?