If two light bulbs with resistances of 0.1 ohm and 0.2 ohm are connected in parallel, what is the total resistance?
Mathematics · College · Thu Feb 04 2021
Answered on
To find the total resistance of light bulbs connected in parallel, you use the formula for parallel resistance:
1 / R_total = 1 / R1 + 1 / R2
Where R1 and R2 are the resistances of the two light bulbs. Let's calculate it:
1 / R_total = 1 / 0.1 + 1 / 0.2 1 / R_total = 10 + 5 1 / R_total = 15
Once we have the sum, we need to take the reciprocal of it to find the total resistance:
R_total = 1 / 15 R_total ≈ 0.0667 ohms
So, the total resistance of the two light bulbs connected in parallel is approximately 0.0667 ohms.