Final answer:
To find the resistance of the electronic device, we use the formula R = V^2 / P, which yields a resistance of 57600 ohms or 57.6 kiloohms when we input the values of 0.25W for power and 120V for voltage.
Step-by-step explanation:
The question asks for the resistance of a small electronic device when given the power rating and voltage. Since the power (P) is given as 0.25 watts (W) and the voltage (V) is 120 volts (V), we can use Ohm's Law and the power formula P = V^2 / R to find the resistance (R).
Rearranging the formula to solve for resistance gives us R = V^2 / P.
Plugging in the values, we get R = (120V)^2 / 0.25W,
which calculates to a resistance of 57600 ohms, or 57.6 kiloohms (kΩ).