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1)

A series R-C combination is connected to an AC voltage of angular frequency ω= 500 rad/s. If the impedance of the R-C circuit is R1.25, the time constant (in millisecond) of the circuit is


A) 5

B) 3

C) 2

D) 4

Answer:

Option D

Explanation:

Z=R2+X2C=R1.25

   R2+X2C=1.25R2

 or XC=R2

 or   1ωC=R2

   Time constant  = CR= 2ω

       2500s=4ms

   Answer is 4