Question

An RL circuit with L = 2.95 H and an RC circuit with C = 2.85 μF have the same time constant.

(a) If the two circuits have the same resistance, R, what is the value of R? kΩ

(b) What is this common time constant? ms

Answer 1

time constant of RL circuit is given by
  
And the time constant of the RC circuit is given by
   
So, if these two time constants are same, then,
   
  
   

a)
So, given the values of L and C,
   
the value of the resistance is given by
  
  


b)
  The time constant is given by