Question

At resonance, what is impedance of a series RLC circuit?

less than R
equal to R
larger than R
It depends on many other considerations, such as the values of L and c.
Which of the following does the quality factor of the circuit depend on? (Select all that apply.) ?
1) the width of the resonance
2) C
3) L
4) R

Answer 1

Impedance Z given as

`Z=√((X_C^2-X_L^2)+R^2)`

At resonance

`X_C=X_L`

`Z=√((X_C^2-X_C^2)+R^2)`

Z=R

At the resonance condition the impedance of a series RLC will be equal to the R.

---------------------------------------------------------------------------------------------

The quality factor of the circuit depends on R ,L ,C and width of the resonance.

Quality factor Q

`Q=(f)/(BW)`

BW= Band width

f=Frequency at resonance