two identical batteries are connected to different circuit. explain how it is possible for the batteries to supply different amount of power?

is it because the another batteries might have more power??

The power will be the number of watts delivered. The power is

amps x volts (potential difference)

the batteries are identical so the volts are the same. Thus, the current in the two circuits must be different, why do you think that this might be?

The power supplied by a battery depends on both its voltage and its internal resistance. Although the batteries in your question are identical, they may have different internal resistances due to manufacturing variations or different ages. These internal resistances can affect the overall power output of the batteries.

When a battery is connected to a circuit, its voltage drops across the internal resistance and the remaining voltage is supplied to the external load. The power delivered to the load is the product of the voltage across the load and the current passing through it.

If one battery has a higher internal resistance than the other, it will cause a larger voltage drop across its internal resistance when connected to a load. As a result, the voltage supplied to the load is lower, and therefore the power delivered to the load is also lower. On the other hand, a battery with lower internal resistance will have a smaller voltage drop across its internal resistance, resulting in a higher voltage supplied to the load and a higher power output.

So, even when two batteries are identical, their internal resistances can cause differences in the power they supply to a circuit. It is not necessarily because one battery has more power, but rather due to the internal characteristics of each battery.