Confusion about Ohm's law and electrical power (basics of electrical engineering)..?
You are confusing some things (which i understandable).

In a simple resistive circuit, then with some voltage source V and a resistor R, the current is indeed \$I=\frac {V}{R}\$

Increasing the voltage will indeed increase the current.

If we need to do a transform to transmit power, we use a transformer:







simulate this circuit &ndash; Schematic created using CircuitLab

A transformer is passive; apart from inefficiencies, the output power and input power are the same, so if we had 1kV input voltage and a 10:1 step up transformer we would have a 10kV output. (We will get to the current shortly).

At the other end, if we had a 100:1 step down transformer, we would have 100V out. Let's say we have a 100W light bulb here, which would draw 1A.

Now work backwards to see what the input current is:

Input to the step down transformer is 100W at 10kV = 10mA and the input to the step up transformer is 100W at 1kV = 100mA.

Ohm's law still holds.