Final answer:
The power used by a device with a resistance of 200.0kΩ when connected to a 10.0V battery is calculated using the formula P = V^2 / R, yielding 0.5mW of power.
Step-by-step explanation:
The question asks for the power used by a device with a resistance of 200.0kΩ when connected to a 10.0V battery. To find the power, we can use the formula for power dissipation in a resistor, which is P = V2 / R, where P is the power in watts, V is the voltage in volts, and R is the resistance in ohms.
First, we should convert the resistance from kilohms to ohms: 200.0kΩ = 200,000Ω. Using the formula, we get:
P = 10.0V2 / 200,000Ω = 0.0005W or 0.5mW.
Therefore, the device uses 0.5mW of power when connected to a 10.0V battery, which corresponds to option (d).