221k views
5 votes
If a current of 0.5 A flows in a 75 W light bulb when the voltage difference between the ends of the filament is 150 V, what is the resistance of the filament?

User Linyun Liu
by
7.3k points

2 Answers

4 votes

Answer:

300 would be the best anwer.

Step-by-step explanation:

User Mirrh
by
6.6k points
5 votes
Power is current times voltage. Using Ohm's Law V=IR, we can express power in two additional ways:

P=I^2R \\ P= (V^2)/(R)
So for P=75W, we can use either of these to get R. Let's use the first one:

75W=(0.5A)^2R \\ (75W)/(0.25A^2)=300 \Omega
User Cookieisaac
by
6.8k points