Why do power lines use high voltage?

I have just read that using high voltage results in low current, which limits the energy losses caused by the resistance of the wires.
What I don't understand is why it works this way. Does it have anythnig to do with electromagnetic induction in the wire which resists the current?

• For the same power transmitted, high voltage means low current (P=V*I) – nasu Mar 28 '17 at 20:27
• What is the problem with high current transmission? – ILoveChess Mar 28 '17 at 20:28
• The heat dissipated in the transmission wires is proportional to the square of the current through wires. – nasu Mar 28 '17 at 20:29
• But when we toy with the formula, we may well come to this form: P = U^2 / R – ILoveChess Mar 28 '17 at 20:33
• But if you are looking at the power dissipated in the transmission line, this U is the voltage drop on the lines and not the voltage at the consumer. If the current is low, the voltage drop on the wires is also low. – nasu Mar 28 '17 at 20:38

From the formula $P=VI$, $I=\frac {P}{V}$. So, if the voltage is high, current becomes low for same power. Now, $H=I^2RT$, so lower the current, lower is the heat production. Mainly to reduce heat production, the voltage is increased.