The time constant for the given RC circuits in the correct order (in `mus`).
`R_(1)=1Omega,R_(2)=2Omega,C_(1)=4muF,C_(2)=2muF`

Options

A. `18,4, 8//9`
B. `18, 8//9,4`
C. `4,18, 8//9`
D. `4, 8//9, 18`

Answer

B

Explanation

`tau=CR , tau_1=(C_1+C_2)(R_1+R_2) 18mu s`
`tau_2=((C_1C_2)/(C_1+C_2))((R_1R_2)/(R_1+R_2))=8/6xx2/3=8/9 mus, tau_3=(C_1+C_2)((R_1R_2)/(R_1+R_2))=(6)(2/3)=4mus`