Question

What possible values of resultant resistance one can get by combining two resistances, one of value 2 ohm and the other 6 ohm?

Answer 1

Connecting a 2 Ω and 6 Ω resistor in series combination: 

`R=R_1+R_2`

R= 2Ω+6Ω=8Ω 

Thus, we will get an 8 Ω resistor 

Connecting a 2 Ω and 6 Ω resistor in parallel combination: 

`1/R=1/R_1+1/R_2` 

`1/R=1/2+1/6` 

⇒`1/R=4/6` 

⇒ `R=6/4 `Ω  

Thus, we will get a 1.5 Ω resistor.