Final answer:
The maximum current that can safely flow through a 6.0 ohm resistor rated at 14 W is calculated using the formula I = √(P/R) and is found to be 1.53 A.
Step-by-step explanation:
To determine the maximum current that can safely flow through an electronic component with a 6.0 ohm resistor that is rated for use at power levels not exceeding 14 watts (W), we can use the formula for power, P = I²R, where P is power, I is current, and R is resistance. Rearranging the formula to solve for current (I), we get I = √(P/R).
Plugging in the values for power and resistance, we have I = √(14 W / 6.0 Ω) = √(2.3333) = 1.5275 A, which we can round to 1.53 A. Therefore, the maximum current that can safely flow through the component is 1.53 A, which corresponds to option C.