HomeworkLib
Question

When the frequency is twice the resonant frequency, the impedance of a series RLC circuit is...

When the frequency is twice the resonant frequency, the impedance of a series RLC circuit is three times the value of the impedance at resonance. Obtain the ratios of the inductive and capacitive reactances to the resistance (XL/R and XC/R) when the frequency is twice the resonant frequency.

science   physics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Frequency = w = 2/sqrt(LC)

Impedence = Z = 3R

XL = wL = 2*sqrt(L/C)

XC = 1/wC = 1/[2*sqrt(C/L)] = 0.5*sqrt(L/C)

Then inductive reactance to resistance = XL/R = wL/R = 2*sqrt(L/CR^2)

Then capacitive reactance to resistance = XC/R = 1/wCR = 0.5*sqrt(L/CR^2)

0 0
Add a comment
Know the answer?
Add Answer to:
When the frequency is twice the resonant frequency, the impedance of a series RLC circuit is...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 20 - 10 2020- -capacitive In a series RLC circuit, when the impedance of circuit is...

    20 - 10 2020- -capacitive In a series RLC circuit, when the impedance of circuit is equal to the resistance of the resistor? when the frequency of the emf is less than the resonant frequency of the circuit. when the capacitive reactance is equal to the inductive reactance. مانعة & hp

  • electromagnetic 19) RLC Circuit Resonance Frequency: (12 pts) (a) Identify the relation between the capacitive reactance...

    electromagnetic 19) RLC Circuit Resonance Frequency: (12 pts) (a) Identify the relation between the capacitive reactance (Xc) and inductive reactance (XL) that will minimize the total impedance (Z) of an RLC circuit. (b) Using this condition, derive the resonance frequency () of an RLC circuit. (c) Calculate the resonance frequency for an RLC circuit with: R=102 L=4H C=IF

  • A series RLC circuit that has an inductance of 6 mH, a capacitance of 3 μF,...

    A series RLC circuit that has an inductance of 6 mH, a capacitance of 3 μF, and a resistance of 7.2 is driven by an ideal ac voltage source that has a peak emf of 110 V (a) Find the resonant frequency 1.19 rad/s (b) Find the root-means-square current at resonance When the frequency is 8000 rad/s, find the following values. (c) the capacitive and inductive reactances (d) the impedance (e) the root-mean square current. (f) the phase angle δ...

  • Consider an RLC series circuit with R = 600 Ω, L = 3 H, C =...

    Consider an RLC series circuit with R = 600 Ω, L = 3 H, C = 4μF, generator voltage V = 20 v, frequency= 60 hz. Find a) the inductive impedance XL, b) capacitive impedance Xc , c) Total impedance Z, d) Line current I , e) Voltage drops VR , VL, ,Vc f) combination voltage VRL , and VLc , g) phase angle φ , h) resonant frequency f0 , i) Power dissipated by circuit.

  • A series RLC circuit consists of an ac source of adjustable frequency, a 100 resistor, a...

    A series RLC circuit consists of an ac source of adjustable frequency, a 100 resistor, a 5 mH inductor and a 2 F capacitor.(a) Find the resonance frequency.(b) Find the impedance of the circuit when the angular frequency of the ac source is adjusted to 4 times the resonance frequency.(c) Find the impedance of the circuit when the angular frequency of the ac source is adjusted to one-fourth of the resonance frequency.(d) Can you see a trend between XL and...

  • A series RLC circuit has a resonant frequency of 6.29 kHz. When it is driven at...

    A series RLC circuit has a resonant frequency of 6.29 kHz. When it is driven at 8.73 kHz, it has an impedance of 0.867 kΩ and a phase constant of 38.0o. What are (a)  R, (b)  L, and (c)  C for this circuit?

  • A series RLC circuit has a resonant frequency of 7.47 kHz. When it is driven at...

    A series RLC circuit has a resonant frequency of 7.47 kHz. When it is driven at 10.3 kHz, it has an impedance of 1.14 kΩ and a phase constant of 36.0o. What are (a) R, (b) L, and (c) C for this circuit?

  • A RLC circuit is driven by an AC source of 120volts with frequency 60H_z. The resistance...

    A RLC circuit is driven by an AC source of 120volts with frequency 60H_z. The resistance is 2000 Ohm, the capacitance is 500 mu F, and the inductance is 100_m M. Find the inductive reactance, The capacitive reactance, the impedance, the current, and the resonant frequency.

  • In an RLC series circuit that includes a source of alternating current operating at fixed frequency...

    In an RLC series circuit that includes a source of alternating current operating at fixed frequency and voltage, the resistance R is equal to the inductive reactance. The RLC series circuit uses a parallel plate capacitor. If the plate separation of the capacitor is reduced to half of its original value, the current in the circuit doubles. Find the initial capacitive reactance in terms of R.

  • Select the CORRECT statement about a series RLC circuit: Question 6 options: At resonance, the total...

    Select the CORRECT statement about a series RLC circuit: Question 6 options: At resonance, the total reactance and total resistance are equal. The impedance at resonance is only due to the capacitive reactance. The impedance at resonance is at maximum. The current flowing in the circuit at resonance is at maximum. The impedance at resonance is only due to the inductive reactance.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT