Given an LRC circuit connected to an AC generator as shown with R = 32 ohm, L =

Question

Given an LRC circuit connected to an AC generator as shown with R = 32 ohm, L = 38 mH, and C unknown. The generator voltage oscillates at its resonant frequency of 60 Hz. What is X_L? 14.3 ohm 24.3 ohm 34.3 ohm 44.3 ohm 54.3 ohm Given the circuit is at its resonant frequency, what is C? 105 mu F 125 mu F 145 mu F 165 mu F 185 mu F At this resonance frequency, what is the impedance Z? 12 ohm 22 ohm 32 ohm 42 ohm 52 ohm What describes the current through the generator and the voltage across the generator at this resonant frequency? the current leads the voltage across the generator the current lags the voltage across the generator the current is in phase with the voltage across the generator

Explanation / Answer

Here,

R = 32 Ohm

L = 32 mH

23)

XL = 2pi *f * L

XL = 2 * pi * 60 * 0.038

XL = 14.3 Ohm

24)

as frequency = 1/(2pi * sqrt(L*C))

60 = 1/(2pi * sqrt(0.038 * C))

solving for C

C = 185 *10^-6 F

C = 185 uF

25) at the resonance frequency

Z = R

Z = 32 Ohm

26) as the circuit is in resosnance

the correct option is

c) the current is in pahse with the voltage across the generator

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.