Let's assume that you have a system which requires power supply voltage of 5V and it can draw current up to 1A. Now, you place the current sensing resistor in series with the power supply and the system, you can determine the voltage drop across the sensing resistor at the given current using the Ohm's law, and what the system supply voltage will be at different currents. Try different resistor values 0.01 ohm, 0.1 ohm, 1 ohm and 10 ohm with the current values 0.01A, 0.1A and 1A. You should find the answer there.