If you recall we stated that the current in a circuit increases as the voltage increases if the resistance is kept constant.
Suppose that we constructed the following circuit. The amp meter is inserted in the circuit so that we can read the amount of current or the rate of flow of the electrons in the circuit.
 
In this simple circuit
the current flow will be
the same at any point we
insert the meter. Now
lets assume that R = 10 Ω
and we adjust V to the
values of
0 V, 1.5 V, 3.0 V,
4.5 V, and 6 V.
Using the equation
I = V/R
Calculate the value of I in the table below for each combination of voltage and resistance.
V R I
 0.0 V 10Ω ___
1.5 V 10Ω ___
3.0 V 10Ω ___
4.5 V 10Ω ___
6.0 V 10Ω ___
If you make a graph of the current I on the Vertical Axis (y axis) and the Voltage on the Horizontal Axis (x axis) of the values you calculated above you should get a graph that looks like the one below.
 
Now consider the situation where the voltage is constant and the resistance varies. We will let the resistance vary from 1 Ω to 10 Ω's. Why didn't I let the resistance be equal to zero ? 
Calculate the value of I in the table below for each combination of voltage and resistance.
V R I
6.0 V 1 Ω ___
6.0 V 2 Ω ___
6.0 V 6 Ω ___ 
6.0 V 8 Ω ___
6.0 V 10 Ω ___
 
In summary then we can see from the graphs that as the voltage applied to a resistor is increased and the resistance is held constant then the current increases. If the voltage is held constant and the resistance increases, the current will decrease and if the resistance decreases then the current increases. Confusing? Study the graphs above as you state the relation and get to the point that you can visualize the graphs in your mind. This is a very important concept and thorough understanding is important.