Power lost in transmission lines

[pat666]

Homework Statement

A typical power station produces 1000MW of electrical energy. Seven percent of the power is lost in a 500kV transmission line. Whats the lines resistance?

Homework Equations

P=I²R

The Attempt at a Solution

Thought this problem was simple but I keep getting it wrong.
P=I²R so P=V²/R
7 percent is lost @ 500Kv
so 0.97*1000*10⁶ = (500*10^3)^2/R
R=268ohms but the actual answer is 17.5 ohms?
Thanks

 

[NobodySpecial]

The V in V^2/R is the voltage drop along the line - which you don't know
Work out the power lost, then the total current, then try

 

[pat666]

So P=VI
total I: 1000*10^6/500*10^3=2000A (that can't be right can it, its huge)
0.7*1000*10^6-1000*10^6=9.3*10^9W (power lost)
9.3*10^9=2000^2/R
R=4.3*10^-3ohms- that's too small now?
btw thanks for replying