#### Question

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

#### Solution

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.

Is there an error in this question or solution?

Solution What Possible Values of Resultant Resistance One Can Get by Combining Two Resistances, One of Value 2 Ohm and the Other 6 Ohm? Concept: Resistance of a System of Resistors - Resistors in Series.