What is the total resistance in the above diagram
A. 5 ohms
B. 15 ohms
C. 25 ohms
D. 35 ohms
E. 45 ohms
Correct Answer: Option C
It is given that both the resistances R2 are connected in parallel R(parallel). Hence Total Resistance for the parallel is given by
1/R = 1/R2 + 1/R2
1/R = 1/10 + 1/10
1/R = 2/10
By further simplification it’ll be discovered that R(parallel)=5
Now, another look at the diagram and it’s given that a pair of resistances R1 are connected in series. Hence, Total resistance for series will be given as
R = 10+10
Therefore R(series) = 20
Recall that R(parallel) = 5
So Total resistance will be the summation of both resistances
Which leaves us with the final answer, 25
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