Ac Circuits

The impedance of a series R-C combination is given by: where is the inductive reactance and is the resistance. In this case, we are given: Since , the equation simplifies to: Now, the time constant for an R-C circuit is given by: Using the relation for the impedance of the circuit, we have: So, we can solve for as follows: Substituting rad/s and simplifying: Thus, the time constant is: Thus, the correct answer is .