In the following circuits, it is given that R1=1 Ω, R2=2 Ω, C1=2 μ F and C2=4 μ F. The time constants (in μ s) for the circuits I, II, III are, respectively,

Question

In the following circuits, it is given that R1=1 Ω, R2=2 Ω, C1=2 μ F and C2=4 μ F. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/c650a17eeef58e69b6b1c26469548b6a-.png" /> The time constants (in μ s) for the circuits I, II, III are, respectively, (A) 18,8 / 9,4 (B) 18,4,8 / 9 (C) 4,8 / 9,18 (D) 8 / 9,18,4

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Circuit (I): We have τ1=(C1 C2/C1+C2) × (R1 × R2/R1+R2) =(8/6) × (2/3)=(8/9) μ S <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/9a890f368eb38814be361876df35619f-.png" /> Circuit (II): We have τ2=(C1+C2)(R1+R2)=18 μ S Circuit (III): We have τ3=(C1+C1)((R1 R2/R1+R2))=4 μ S

Q. In the following circuits, it is given that $R_{1} = 1 Ω, R_{2} = 2 Ω$ , $C_{1} = 2 μ F$ and $C_{2} = 4 μ F$ .

The time constants (in $μ$ s) for the circuits $I, II, III$ are, respectively,

$18, 8/9, 4$

$18, 4, 8/9$

$4, 8/9, 18$

$8/9, 18, 4$

Q. In the following circuits, it is given that R1​=1Ω,R2​=2Ω, C1​=2μF and C2​=4μF. The time constants (in μ s) for the circuits I,II,III are, respectively,

18,8/9,4

18,4,8/9

4,8/9,18

8/9,18,4

Circuit (I): We have τ1​=C1​+C2​C1​C2​​×R1​+R2​R1​×R2​​ =68​×32​=98​μS Circuit (II): We have τ2​=(C1​+C2​)(R1​+R2​)=18μS Circuit (III): We have τ3​=(C1​+C1​)(R1​+R2​R1​R2​​)=4μS

Q. In the following circuits, it is given that $R_{1} = 1 Ω, R_{2} = 2 Ω$ , $C_{1} = 2 μ F$ and $C_{2} = 4 μ F$ .

The time constants (in $μ$ s) for the circuits $I, II, III$ are, respectively,

$18, 8/9, 4$

$18, 4, 8/9$

$4, 8/9, 18$

$8/9, 18, 4$