6. How many `100`-`W` lightbulbs, connected to `120\ V` as in the figure, can be used without blowing a `15`-`A` fuse?
6. How many 100-W lightbulbs, connected to 120\ V as in the figure, can be used without blowing a 15-A fuse?
Hint
`P = IV`
Answer
`n = 18`
Show Steps
Given: `P = 100\ W` `V = 120\ V` `I_(max) = 15\ A` Equation: `P = IV` Solution: `P = IV` `=>` `I = P/V` `nI ≤ I_(max)` `n ≤ I_(max)/I =I_(max)/(P/V) = I_(max)V/P` `n ≤ (15\ A)(120\ V)/(100\ W)` `n ≤ 18`
`n = 18`