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Question

# In the figure shown below, R1=1Ω , R2=2Ω , C1=4μF , C2=2μF , the time constants (in μs) for the circuits I ,II and III respectively are

A
18 , 4, 89
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B
18 , 89 , 2
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C
18 , 89 , 4
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D
4 , 89 , 18
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Solution

## The correct option is C 18 , 89 , 4All the three circuits given are RC circuits. Therefore, the time constant for each circuit is RC. Finding the equivalent resistance and capacitance for all three given circuits, For first circuit: R′eq=1+2=3Ω ; C′eq=4+2=6μF For second circuit: R′′eq=1×21+2=23Ω ; C′′eq=4×24+2=43μF For third circuit: R′′′eq=1×21+2=23Ω ; C′′′eq=4+2=6μF Time constant in first circuit , τ1=R′eqC′eq=18μs Time constant in second circuit , τ2=R′′eqC′′eq=89μs Time constant in third circuit , τ3=R′′′eqC′′′eq=4μs Hence, option (c) is the correct answer.

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