It depends on the breaker, and the load
most old household power circuits are 15 amps
in a purely resistive circuit (Like fishtank heaters)that is 15*240 =3600watts
in any inductive or capacitive circuit (fridges, motors, airconditioners, washing machine, television, computer, just about everything except an incandescant light bulb) there is a non-linear relationship between current and power, the 'power factor' is the cosine value of phase shifts added or lost to capacitance and inductance, can total zero power at the load, and many amps in the circuit......
too much detail
suffice that 15 amps can trip the breaker when the circuit is delivering much less than 3600 watts, 2400watts is a good planning value,
a sparky and more circuits