Question

An RLC series circuit has a 1.00 k? resistor, a 160 mH inductor, and a 25.0...

An RLC series circuit has a 1.00 k? resistor, a 160 mH inductor, and a 25.0 nF capacitor. (a) Find the circuit's impedance (in ?) at 515 Hz. (b) Find the circuit's impedance (in ?) at 7.50 kHz. (c) If the voltage source has Vrms = 408 V, what is Irms (in mA) at each frequency? mA (at 515 Hz) mA (at 7.50 kHz) (d) What is the resonant frequency (in kHz) of the circuit? kHz (e) What is Irms (in mA) at resonance? mA

Homework Answers

Answer #1

a)


impedance is z = sqrt(R^2+(XL-XC)^2)

R = 1000 ohm

XL = w*L = 2*3.142*515*0.160 = 517.8 ohm

XC = 1/(w*C) = 1/(2*3.142*515*25*10^-9) = 12359.94 ohm

z = sqrt(1000^2+(517.8-12359.94)^2) = 11884.3 ohm


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

b) XL = 2*3.142*7.5*1000*0.160 = 7541 ohm

XC = 1/(2*3.142*7.5*1000*25*10^-9) = 848.72 ohm

Z = sqrt(1000^2+(7541-848.72)^2) = 6766.58 ohm

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

C) at f =515 Hz

Irms = Vrms/Z = 408/11884.3 = 0.0343 A

at f = 7.5 kHz


Irms = Vrms/z = 408/6766.58 = 0.061 A

d) resonant frequency is f = 1/(2*pi*sqrt(L*C)) = 1/(2*3.142*sqrt(0.160*25*10^-9)) = 2516.13 Hz = 2.516 kHz

e) Irms = Vrms/R =408/1000 = 0.408 A = 408 mA

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An RLC series circuit has a 1.00 kΩ resistor, a 150 mH inductor, and a 25.0...
An RLC series circuit has a 1.00 kΩ resistor, a 150 mH inductor, and a 25.0 nF capacitor. a. Find the circuit's impedance (in Ohms) at 500 Hz. b. Find the circuit's impedance (in ohms) at 7.50 kHz. c. If the voltage source has Vrms = 408 V, what is Irms (in mA) at each frequency? mA at 500 Hz = ? mA at 7.5 Hz = ? d. What is the resonant frequency (in kHz) of the circuit? e....
An RLC series circuit has a 1.00 kΩ resistor, a 150 mH inductor, and a 25.0...
An RLC series circuit has a 1.00 kΩ resistor, a 150 mH inductor, and a 25.0 nF capacitor. a. Find the circuit's impedance (in Ohms) at 500 Hz. b. Find the circuit's impedance (in ohms) at 7.50 kHz. c. If the voltage source has Vrms = 408 V, what is Irms (in mA) at each frequency? mA at 500 Hz = ? mA at 7.5 Hz = ? d. What is the resonant frequency (in kHz) of the circuit? e....
An RLC series circuit has a 1.00 kΩ resistor, a 145 mH inductor, and a 25.0...
An RLC series circuit has a 1.00 kΩ resistor, a 145 mH inductor, and a 25.0 nF capacitor. (a) Find the circuit's impedance (in Ω) at 475 Hz. Incorrect: Your answer is incorrect. Ω (b) Find the circuit's impedance (in Ω) at 7.50 kHz. Ω (c) If the voltage source has Vrms = 408 V, what is Irms (in mA) at each frequency? mA (at 475 Hz) mA (at 7.50 kHz) (d) What is the resonant frequency (in kHz) of...
An RLC series circuit has a 1.00 kΩ resistor, a 168 mH inductor, and a 25.0...
An RLC series circuit has a 1.00 kΩ resistor, a 168 mH inductor, and a 25.0 nF capacitor. (a) Find the circuit's impedance at 491 Hz. ______ Ω (b) If the voltage source has Vrms = 408 V, what is Irms? ______ mA (c) What is the resonant frequency of the circuit? ______ kHz (d) What is Irms at resonance? ______ mA
a) an RLC series circuit has a 2.50 kOhm resistor, a 170 mH inductor, and a...
a) an RLC series circuit has a 2.50 kOhm resistor, a 170 mH inductor, and a 24.0 nF capacitor. Find the power factor at f=8.70 kHz. b)What is the phase angle at this frequency? c)If the voltage source has Vrms=350 V, what is the average power at this frequency? d) Find the average power at the circuits resonant frequency?
An RLC series circuit has a 2.25 Ω resistor, a 85 μH inductor, and a 72.5...
An RLC series circuit has a 2.25 Ω resistor, a 85 μH inductor, and a 72.5 μF capacitor. A) Find the circuit’s impedance, in ohms, at 135 Hz. (b) Find the circuit’s impedance, in ohms, at 2.5 kHz. (c) If the voltage source supplies an rms voltage of 5.58 V, what is the circuit’s rms current, in amperes, at a frequency of 135 Hz? (d) If the voltage source supplies an rms voltage of 5.58 V, what is the circuit’s...
An RLC series circuit has a 200 Ω resistor and a 25.0 mH inductor. At 7800...
An RLC series circuit has a 200 Ω resistor and a 25.0 mH inductor. At 7800 Hz, the phase angle is 45.0°. (a) What is the impedance (in ohms)? _____Ω (b) Find the minimum possible capacitance (in nanofarads) of the circuit. ______nF (c) If Vrms = 408 V is applied, what is the average power (in watts) supplied? _____W
An RLC series circuit has a 210 Ω resistor and a 25.0 mH inductor. At 8300...
An RLC series circuit has a 210 Ω resistor and a 25.0 mH inductor. At 8300 Hz, the phase angle is 45.0°. Part a (the impedance) had an answer of 296.58 ohms, but I can't seem to figure out part b: Find the minimum possible capacitance (in nF) of the circuit.
An RLC series circuit has a 3.30 Ω resistor, a 120 μH inductor, and an 65.0...
An RLC series circuit has a 3.30 Ω resistor, a 120 μH inductor, and an 65.0 μF capacitor. (a)Find the power factor at f = 120 Hz. (b)What is the phase angle at 120 Hz? (c) If the voltage source has Vrms = 4.10 V, what is the average power at 120 Hz? (d)Find the average power at the circuit’s resonant frequency.
An RLC series circuit has a 200-ohm resistor and a 25 mH inductor. At 8000 Hz,...
An RLC series circuit has a 200-ohm resistor and a 25 mH inductor. At 8000 Hz, the phase angle is 450. (a) What is the impedance? (b) Find the circuit’s capacitance (C). (c) If Vrms of 480V is applied, what is the average power supplied? Degree