Answer:
The answer to your question is the letter B. R = 8/7 Ω
Step-by-step explanation:
Data
R1 = 2 Ω
R2 = 4Ω
R3 = 8Ω
To calculate the total resistance use the formula
1/R = 1/R1 + 1/R2 + 1/R3
-Substitution
1/R = 1/2 + 1/4 + 1/8
- Look for the Greatest common factor
2 4 8 2
1 2 4 2
1 2 2
1
The GCF = 2 x 2 x 2 = 8
-Sum up the fractions
1/2 + 1/4 + 1/8 = (4 + 2 + 1) / 8
= 7/8
-Find R
1/R = 7/8 then, R = 8/7 Ω