Question

An RLC circuit has L = 250 mH, C = 0.200 ?F, and R = 2.00 k?. What is the angular frequency of its damped oscillations?

Answer 1

Solution : In Question It doesn't mention wheather we have series RCL or parallel RCL. so, I have solved for series RCL circuit.

We know Resonance frequency of RCL circuit is given by

--------------------------(1)

L = Inductance of circuit

C = Capacitance of circuit

In addition damping factor of RCL circuit is given by

------------------------------------(2)

R = Resistance of circuit

Combining (1) and (2) We get

Angular frequency of damped osilllations given by

Putting the values of R, C and L in above formula with suitable units

on calculating we get,

rad   Answer

Note : We use the same formula of damping frequency in parallel RCL circuit.

but here our damping factor

however resonant frequency remain same  

so,