Final answer:
The energy lost by the electric charge that flows across a 3-volt battery with 6 coulombs of charge is 18 joules, calculated using the formula E = Q × V.
Step-by-step explanation:
The amount of energy lost by the electric charge as it flows across a 3-volt battery is found by using the relationship between charge (Q), voltage (V), and energy (E). This relationship is given by the formula E = Q × V, where E is the energy in joules, Q is the charge in coulombs, and V is the voltage in volts.
In this case, with 6 coulombs of charge and a potential difference of 3 volts, the energy lost can be calculated as follows:
E = 6 C × 3 V = 18 joules
Thus, the electric charge loses 18 joules of energy as it moves through the battery.