In the adjoining figure, the equivalent resistance between A and B is

Options

A. `17//24Omega`
B. `4//3Omega`
C. `29Omega`
D. `24//17Omega`

Answer

B

Explanation

In figure, resistance `8Omega, 2 Omega` and `4 Omega, 6 Omega ` are in parallel. Their effective resistances are `R_(1)=1.6 Omega`
`R_(2)= 2. 4 Omega` respectively.
Now, resistances `R_( 1)` and `R_(2)` are in series.
Thus, `R=R_(1)+R_(2)= 1.6 +2.4 = 4 Omega`
Now, resistances ` 3 Omega, 4 Omega`and `6 Omega` are in parallel. There equivalent resistance is given by.
`(1)/(R_(p))=(1)/(3)+(1)/(4)+(1)/(6) :. R_(p)=(12)/(9)=(4)/(3) Omega`