Consider a series RLC circuit where R = 447 ohms and C = 5.25 uF. However, the i
ID: 1318455 • Letter: C
Question
Consider a series RLC circuit where R = 447 ohms and C = 5.25 uF. However, the inductance L of the inductor is unknown. To find its value, you decide to perform some simple measurements. You apply an ac voltage that peaks at 96.0 V and observe, using an oscilloscope, that the resonance angular frequency occurs at 15300 s^-1.What is the inductance of the inductor in millihenrys?
Answer _______ mH Consider a series RLC circuit where R = 447 ohms and C = 5.25 uF. However, the inductance L of the inductor is unknown. To find its value, you decide to perform some simple measurements. You apply an ac voltage that peaks at 96.0 V and observe, using an oscilloscope, that the resonance angular frequency occurs at 15300 s^-1.
What is the inductance of the inductor in millihenrys?
Answer _______ mH
What is the inductance of the inductor in millihenrys?
Answer _______ mH
Explanation / Answer
given
R=447 ohm
C=5.25uF
In series RC
Z=R+j(XL-iwc)
at resonance
(XL-iwc)=0
wl-1/wc=0
w^2-1/LC
(88500)^2 pi*C=1/L
L=1/(88500)^2*pi*5.25
L=2.431*10^-5 H
L=0.02431mH