Final answer:
To use a 75-watt lightbulb without blowing a 14A fuse, you can use a maximum of 22 lightbulbs.
Step-by-step explanation:
To determine how many 75-watt lightbulbs can be used without blowing a 14A fuse, we need to calculate the current drawn by each lightbulb and compare it to the rating of the fuse.
First, we need to find the current drawn by a single 75-watt lightbulb. We can use the formula: P = IV, where P is the power in watts, I is the current in amperes, and V is the voltage in volts.
Since the power is given as 75 watts and the voltage is 120V, we can rearrange the formula to solve for the current: I = P/V = 75/120 = 0.625A.
Therefore, each 75-watt lightbulb draws 0.625A of current. To avoid blowing a 14A fuse, we can divide the maximum fuse rating by the current drawn by each lightbulb: 14A/0.625A = 22.4.
Therefore, you can use a maximum of 22 75-watt lightbulbs without blowing a 14A fuse.