Question

At resonance, what is impedance of a series RLC circuit? less than R It depends on many other considerations, such as the values of L and C. larger than R equal to R Which of the following does the quality factor of the circuit depend on? (Select all that apply.)

Answer 1

at resonance impedence is equal to resistance and quality factor is dependent on R L AND C all

Step-by-step explanation:

we know that for series RLC circuit impedance is given by

`Z=√(R^2+\left ( X_L-X_C \)right )^2`

but we know that at resonance
`X_L=X_C`

putting
`X_L=X_C` in impedance formula , impedance will become

Z=R so at resonance impedance of series RLC is equal to resistance only

now quality factor of series resonance is given by

`Q=(\omega L)/(R)=(1)/(\omega CR)=(1)/(R)\sqrt{(L)/(C)}` so from given expression it is clear that quality factor depends on R L and C