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Show how you would connect three resistors, each of resistance \(6\ Ω\), so that the combination has a resistance of
 
(i) \(9\ Ω\),
 
(ii) \(4\ Ω\).
 
\(R\) \(=\) \(6\) Ω
 
Case (i):
 
If two resistors are connected in parallel, then their equivalent resistance is
 
iii+ii=iΩ
 
After connecting the third resistor, the equivalent resistance is  Ω.
  
Case (ii):
  
When two resistors are connected in series, then their equivalent resistance is given by
 
R=i+i=iΩ
 
The equivalent resistance is
 
R=ii+ii
 
After connecting the third resistor, the equivalent resistance is  \(Ω\).