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How can three resistors of resistances 2\ Ω, 3\ Ω, and 6\ Ω be connected to give a total resistance of (a) 4\ Ω, (b) 1\ Ω?
 
a. 4\ Ω
 
The equivalent resistance of the resistors is
 
1RP=1Ri+1Ri=iiR=iΩ
 
R_{eq} =
 
b. 1\ Ω
 
The equivalent resistance is
 
1RP=1Ri+1Ri+1RiR=iΩ