An RLC circuit connected across an AC voltage source at frequencyf has resistance R, capacitive reactance XC , and inductivereactance XL. If the frequency is doubled so that fnew = 2f ,find the ratios (a) Rnew/R , (b) XC , new/XC , and (c) XL , new/XL .

An RLC circuit connected across an AC voltage source at frequencyf has resistance R, capacitive reactance XC , and inductivereactance XL. If the frequency is doubled so that fnew = 2f ,find the ratios (a) Rnew/R , (b) XC , new/XC , and (c) XL , new/XL .

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter33: Inductors And Ac Circuits

Section: Chapter Questions

Problem 75PQ

See similar textbooks

Related questions

Q: In an L-R-C series circuit, suppose R = 300 ohms, L = 60 mH, C = 0.50 uF, V = 50 V, and w = 10,000…

Q: An LRC series AC circuits contains an inductor with L = 2.20H, a resistor with R = 200 ohms, and a…

Q: An AC voltage of the form v(t) = 100 sin 1000t, where v(t) is in volts and t is in seconds, is…

Q: The switch in a series RL circuit with a re- sistance of 6.1 N , inductance of 3.1 H, and voltage of…

A: Given value--- resistance = 6.1 ohm. Inductance = 3.1 H. Voltage = 35.3 V. We have to find---…

Q: In an RLC circuit assume that R =5.00 , L =60.0 mH, fd = 60.0 Hz, and m = 30.0 V. For what valuesof…

Q: In a series RL circuit with an R = 2.5 Ω and an inductance of 25 mH connected to a voltage of 3.4 V…

Q: By what factor does the inductive reactance, XL changed in an ac circuit when the frequency, f is…

A: Write the expression for the inductive reactance.

Q: The phase angle in a certain RL circuit is 68° at a frequencyof 60.0 Hz. If R = 2.1 Ω for this…

A: Using the equation for phase angle in RL circuit, θ=tan-1XLRtanθ=XLRXL=R tanθ

Q: An AC voltage of the form Av= 100 sin 1 000t, where Av is in volts and t is in seconds, is applied…

A: Given value--- V = 100 sin ( 1000 t) . R = 470 ohm. C = 5.40 micro F . L = 0.5 H . We have to…

Q: An RLC series circuit shown below is driven by an AC source of voltage amplitude 170 volt and…

Q: For an RLC series A.C. circuit the impedance is 661.59 Q, Resistance is 500 2, inductance is 1.809 H…

Q: An RLC series circuit has a 2.55 Q resistor, a 95 µH inductor, and a 77.5 µF capacitor. (a) Find the…

A: As per Bartleby guidelines I have solved first three subparts out of multiple subparts and if you…

Q: A series RLC circuit (L = 340 x103 H, C = 25 ×106F, and R = 280 ohms) has an AC generator with…

Q: Analyze a series R.L.C. circuit, connected to an AC-voltage source of (AVmax=135 V), (R=200 N), (L=4…

A: Given data: AC voltage source is, V=135 V Resistance is, R= 200 Ω The inductance of the inductor is,…

Q: What maximum current is delivered by an AC sourcewith ΔVmax = 48.0 V and f = 90.0 Hz when connected…

Q: When an ac generator with a frequency of 180 Hz and an rmsvoltage of 36 V is connected to an RC…

A: Find the impedance of the circuit. Z=vrmsIrms=36 V0.28 A=128.6 Ω

Q: An inductor of inductance 400 mH, a capacitor of capacitance 4.43 μF, and a resistor of resistance…

Q: A series RLC circuit has resistance R = 50.0 Ω and inductanceL = 0.500 H. (a) Find the circuit’s…

A: Part A:

Q: A series RLC circuit has a resonance frequency of 1.4 kHz. If the inductor in the circuit has a…

A: Let the inductance of the inductor is denoted by L and the resonance frequency is denoted by f.

Q: What is the average power dissipation in a series RLC circuit if R = 20.00 k[I, C= 10.00 µF, L=180…

Q: An RLC series circuit has a voltage source given by E(t)=40V, a resistor of 140 Ω, an inductor of…

A: Current in the circuit for t > 0 is zero.

Q: The charge q on the capacitor in a simple RLC circuit is govorned by the oquation Lq" (t) + Rq'(1) +…

Q: A series RLC circuit consists of a 280 Ω resistor, a 25 μH inductor, and an 18 μF capacitor. What is…

A: The rms current is given by, Irms=VR2+XL-XC2 We know, XL=2πfL =2π60 Hz25×10-6 =9.42×10-3…

Q: If the resistance in an RLC circuit remains the same, but thecapacitance and inductance are each…

Q: Waht is the impedance in a RLC circuit where R = 10.0 Ohms, f = 60.0 Hz Volts and L = 101 mH and the…

A: Given R = 10 ohm L = 101 mH C = 16 microfarads f = 60 Hz

Q: The emf of an ac source is given byv(t) = V0sin ωt, where V0 = 100 V andω = 200π rad/s. Calculate…

A: Given: The emf of an AC source is v(t) = V0sin ωt. The voltage is V0=100 V. The angular velocity is…

Q: In a series RLC AC circuit, the resistance is 230, the inductance is 27mH, and the capacitance is…

Q: An ac generator with an rms voltage of 120 V and a frequency of 60.0 Hz is connected inseries with a…

A: Given data: The rms voltage of the ac generator, Vrms=120 V. The frequency of the ac generator,…

Q: LRC circuit consists of a F17.0-μF capacitor, a resistor, and an inductor connected in series across…

A: Given:- In LCR circuit The capacitance C = 17 μF V = 26 V The frequency f = 44.5 Hz the RMS…

Q: For an RLC series A.C. circuit the impedance is 150 Ω, Resistance is 100 Ω, inductance is 1.74 H and…

Q: The resonant frequency of a certain series RLC circuit is2.84 kHz, and the value of its capacitance…

Q: In a certain LCR series resonant circuit, VC = 25 V, VL = 25 V, and VR = 20 V. The value of the…

Q: a) A 3.5 µ F capacitor, 60 Q resistor and 12H inductor are in series with an AC source. From the…

A: Inductive reactance XL = wL Capacitive reactance Xc = 1/wC

Q: Determine the total impedance, phase angle, and rms current in an LRC circuit connected to a 10.0…

Q: A series RLCRLC circuit consists of a 260 ΩΩ resistor, a 25 mHmH inductor, and a 12 μFμF capacitor.…

Q: An RLC series circuit shown below is driven by an AC source of voltage amplitude 170 voit and…

Q: A 41.1 Q resistor, a 64.5 µF capacitor and a 8.27 mH resistanceless coil are in series with an AC…

A: Vrms = 213 V f = 89.4 HzR = 41.1 ohm Xc = 1/wc Xc = 1/(2π *89.4 * 64.5 *10-6)Xc =27.6 ohm XL = w L…

Q: An AC power supply with a maximum po- tential of 74 V is across a series RLC circuit, where the…

Q: The emf of an ac source is given byv(t) = V0sin ωt, where V0 = 100 V andω = 200π rad/s. Find an…

A: Part A. Capacitor = C = 20×10-6 F Peak voltage = Vo=100 V Angular Frequency = ω=200π rad/s Therefore…

Q: In an LC oscillating circuit, and if we know the values of the inductance and the capacitance then…

A: The angular frequency of an LC oscillator is given by the equation; ω=1LC

Question

An RLC circuit connected across an AC voltage source at frequency
f has resistance R, capacitive reactance X_C , and inductive
reactance X_L. If the frequency is doubled so that f_new = 2f ,
find the ratios (a) R_new/R , (b) X_{C , new}/X_C , and (c) X_L _{, new}/X_L .

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Calculate the rms currents for an ac source is given by v(t)=v0sint , where V0=100V and =200rad/s when connected across (a) a 20F capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.
A 40-mH inductor is connected to a 60-Hz AC source whose voltage amplitude is 50 V. If an AC voltmeter is placed across the inductor, what does it read?
In a purely inductive AC circuit as shown in Figure P21.15, Vmax = 100. V. (a) The maximum current is 7.50 A at 50.0 Hz. Calculate the inductance L. (b) At what angular frequency is the maximum current 2.50A? Figure p21.15
Check Your Understanding What happens to the resonant frequency of an RLC series circuit when the following quantities are increased by a factor of 4: (a) the capacitance, (b) the self-inductance, and (c) the resistance?
In an oscillating RLC circuit, R = 7.0 L. = 10 mH. And C = 3.0 F. Initially, the capacitor has a charge of 8.0 C and the current is zero. Calculate the charge on the capacitor (a) five cycles later and (b) 50 cycles later.
At 1000 Hz, the reactance of a 5.0-mH inductor is equal to the reactance of a particular capacitor. What is the capacitance of the capacitor?
A series RLC circuit has resistance R = 50.0 and inductance L. = 0.500 H. (a) Find the circuits capacitance C if the voltage source operates at a frequency of f = 60.0 Hz and the impedance is Z = R = 50.0 . (b) What is the phase angle between the current and the voltage?
Check Your Understanding Show that the tins voltages across a resistor, a capacitor, and an inductor in an ac circuit where the tins current is Irmsare given by IrmsR,IrmsXC , and IrmsXL, respectively. Determine these values for the components of the RLC circuit of Equation 15.12. Pave=12t0v0cos (15.12)
For an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively; R=500 ; and L = 0.20H . Find the average power dissipated in the resistor for the following values for the capacitance: (a) C=2.0F and (b) C=2.0F .
A 20-mH inductor is connected across an AC source with a variable frequency and a constant-voltage amplitude of 9.0 V. (a) Determine the reactance of the circuit and the maximum current through the inductor when the frequency Is set at 20 kHz. (b) Do the same calculations for a frequency of 60 Hz.
What is the self-inductance of an LC circuit that oscillates at 60 Hz 1ien the capacitance is 10 F ?
At s1iat frequency is the reactance of a 20F capacitor equal to that of a 10-mH inductor?