Answers

2015-09-10T23:56:51+05:30
The minimum resistance i.e., 3 ohms can be obtained only by connecting the two coils in parallel.
So, xy/x+y =3
or, xy=3x+3y

and the maximum resistance can be obtained by series
x+y=16
Hence x=4 and y=12
0
2015-09-11T01:57:44+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
With two resistances R1 and R2 we have the 4 following combinations possible:

R1  or  R2 if they are used individually. 
   let R2  be the larger of the two.

R1 R2 / (R1 + R2)  if used in parallel.      
     -- This is the smallest value.  It is  < R1 and < R2.

R1 + R2  if used in series.    This is the largest value.  SO it is  > R1 and > R2.

Hence, from the given values,
      R1 + R2 = 16 Ω
       R1 R2 / (R1 + R2) =  3 Ω

So, R1 and R2 are 4 Ω and 12 Ω respectively.

1 5 1