Theoretically if the 0.1 ohms resistance is connected across the 9 volt battery
(i.e. let battery terminal shorted by wire momentarily and open as shown);
there shall be 9/0.1 = 90 ampere current (Boom $$$) previously flowing through the circuit will break .
Breaking of 90 Amp. current means very heavy spark as shown in this figure. But we know it never happens. Actually battery internal resistance limits the current.
Also we know that battery converts chemical energy into electrical energy.
Hence normally more is the size of the battery more energy is stored in it (energy stored also depends upon battery chemistry).
This stored energy of the battery is expressed in Ah capacity.
In electronics normally battery size is less it is expressed in mAh capacity.
Typically 9 V battery has the 500 mAh capacity.
That means if it is discharged at the rate of 500mA during 1 hour it will be get discharged completely.
Normally we expect that battery shall last for 5-10 hours. Considering this; obviously we shall try to maintain the battery current to 50 mA to 100 mA.
Apart from battery capacity; its internal resistance plays a vital role in understanding working of the battery. Due to its internal resistance battery voltage drops significantly as we tries to load them. Internal resistance of the battery depends upon type of battery, loading of battery, ambient temperature etc.
In this experiment we will try to measure the internal resistance of the common 9 V alkaline or zinc carbon battery.