Final answer:
Using Ohm's Law, the current through a 10.0 V battery with a 100-ohm resistor is 0.1 A or 100 mA.
Step-by-step explanation:
To find the current through a 10.0 V battery with a 100-ohm resistor connected across its terminals, you can use Ohm's Law, which is I = V/R, where I is the current, V is the voltage, and R is the resistance. Since the voltage V is given as 10.0 volts and the resistance R is 100 ohms, the current I is calculated as follows:
I = V/R = 10.0 V / 100 Ω = 0.1 A
Therefore, a current of 0.1 amperes (or 100 milliamperes) will flow through the battery.