2017 Solution 09
2017 Solution 09
Isaac Abraham
2017/08/01
2017/08/01
Determine the resistance between the two terminals (a, b) when =1 Ω.
R
b
This problem requires the use of Y-Δ transformation. The transformed sketch on the right hand side uses the test value of =1 Ω. The resistance betwen the terminals is,=+(+)//( +)=+ (1+) //(3+)
R
b
R
ab
R
a
R
P
R
X
R
Y
R
Q
R
ab
3
5
3
5
1
5
In[]:=
Rab=(3/5)+((1+3/5)(3+1/5)/((1+3/5)+(3+1/5)))//N
Out[]=
1.66667