Question

How should the two resistances of 2 ohms each be connected so as to produce an equivalent resistance of 1 ohm?

Answer 1

The two resistors of 2 Ω each should be connected in parallel combination to produce equivalent resistance of 1 Ω.  

`1/R=1/R_1+1/R_2 ` 

`1/R=1/2+1/2` 

or `1/R=2/2` 

R=1 Ω 

R = 1

Total resistance, R = 1 Ω 

Resistance In parallel arangement is given by `

`1R=1R_1+1R_2`

`1R=12+12 or 1R=22 `

`R=1Ω `