The equivalent resistance of two resistors connected in series is `6 Omega` and their parallel equivalent resistance is `4/3 Omega`. What are the values of resistances ?

Options

A. `4 Omega, 2 Omega`
B. `4 Omega, 6 Omega`
C. `6 Omega, 2 Omega`
D. `8 Omega, 1 Omega`

Answer

A

Explanation

Let `R_(1)` and `R_(2)` be two resistors.
When they are connected in series, their equivalent resistance is
`R_(s)=R_(1)+R_(2)=6Omega` ...(i)
When they are connected in parallel, their equivalent resistance is
`R_(p)=(R_(1)R_(2))/(R_(1)+R_(2))=4/3 Omega` ...(ii)
On solving eqns. (i) and (ii), we get
`R_(1)=2 Omega` and `R_(2)=4 Omega`