Voltate, Resistance of open circuit

[yuno96]

There is a open circuit like below figure

A---------R(10ohm)--------V(10V)-------------B

The Voltage between A and B is 10V. The resister do not affect in this circuit. This is what I have learned.

But I do not understand why the resistance do not affect to the voltage value. Please explain the reason in detail.

 

[dlgoff]

Before you can get a voltage drop across a resistance (R), you need to have a current (I) through the resistor. I.e. from ohms law, V=IR. So you would need to connect point A to B in order to get a current through the loop.