Question

Calculate the quality factor of a series LCR circuit with L = 2.0 H, C = 2μF and R = 10 Ω. Mention the significance of quality factor in LCR circuit.

Answer 1

Given,

L = 2.0 H

C = 2μF = 2 × 10⁻⁶ F

R = 10 Ω

Now,Q-fector `= 1/R sqrtL/C`

                      `=1/10sqrt(2/(2 xx 10^-6))`

                      `= 1/(10 xx 10^-3) = 1/10^-2  =100`

Quality factor is also defined as

`Q =2pi f xx text{Energy Stored}/text{Power loss}`

So higher the value of Q means the energy loss is at lower rate relative to energy stored i.e. the oscillations will die slowly and damping would be less.