It's best to consider Ohm's Law to be i = V/R to get an idea of which parameter is the dependent one. In this case, your V is 15, your R is infinite, which makes your i = 0. No laws have been violated here.

When resistance is infinite, there no longer needs to be current flow for a potential difference. In steady state, it acts like an open circuit. You would do the same math for infinite resistance in steady state DC that you would for a capacitor. The voltage source is driving the potential difference across the resistor but the circuit is producing no current.

It's best to consider Ohm's Law to be i = V/R to get an idea of which parameter is the dependent one when you have an ideal voltage source. In this case, your V is 15, your R is infinite, which makes your i = 0. No laws have been violated here.

When resistance is infinite, there no longer needs to be current flow for a potential difference. In steady state, it acts like an open circuit. You would do the same math for infinite resistance in steady state DC that you would for a capacitor. The voltage source is driving the potential difference across the resistor but the circuit is producing no current.