An RLC series circuit has a 2.50 Ω resistor, a 100 μH inductor, and an 80.0 μF capacitor. (a) Find the power factor at f = 120 Hz . (b) What is the phase angle at 120 Hz? (c) 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 2.50 Ω resistor, a 100 μH inductor, and an 80.0 μF capacitor. (a) Find the power factor at f = 120 Hz . (b) What is the phase angle at 120 Hz? (c) What is the average power at 120 Hz? (d) Find the average power at the circuit’s resonant frequency.

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 71PQ: Problems 71 and 72 paired. Figure P33.71 shows a series RLC circuit with a 25.0- resistor, a...

See similar textbooks

Related questions

Q: A 20.69 mH inductor and a 250 micro-F capacitor are connected in series with an AC source. If the…

A: The inductive reactance is equal to the capacitive reactance at resonance frequency f=12πLC

Q: An inductor has a 54.0-N reactance at 60.0 Hz. What is the maximum current if this inductor is…

A: Given data --- inductance X= 54 ohm when f = 60 Hz. rms voltage = 100 V. We have to find --- What…

Q: A 68.0-mH inductor and a 5.90-μF capacitor are connected in series with a generator whose frequency…

Q: An RLC series circuit has a 1.08 ka resistor, a 160 pH inductor, and an 18.0 nF capacitor. (a) Find…

Q: A 81.0-mH inductor and a 6.10-µF capacitor are connected in series with a generator whose frequency…

Q: An LC circuit consists of initially fully charged capacitor with a capacitance of 525 x 10-6 F and…

A: Given: Capacitance, C = 525 x 10-6 F Maximum energy stored, U = 0.65 J Resonant frequency, w =…

Q: Consider an RLC circuit with emf amplitude E„ = 10 V, resistance R = 10 N, inductance L = 1.0 H, and…

Q: An RLC series circuit consists of a 240 W resistor, 5.0 mF capacitor, and 3.0 mH inductor connected…

A: You just have to use the formulas of series LCR circuit here. But After solving the question , I'm…

Q: A series RLC circuit has a O.200-mF capacitor, a 13.0-mH inductor, and a 10.0-2 resistor, and is…

Q: A 40-mH inductor is connected to a 60-Hz AC source whose voltage amplitude is 50 V. If an AC…

A: Given data Amplitude of the voltage source, V0=50 V Voltmeter measures the rms value the source

Q: For the same RLC series circuit having a 40.0 Ω resistor, a 3.00 mH inductor, and a 5.00 μF…

A: The resonant frequency of the RLC is given by f=12πLC

Q: What inductance do you need to produce a resonant frequency of 60.0 Hz, when using a 2.00 μF…

A: The equation for the LC circuit, the resonant frequency is,

Q: LC circuit consists of a 20.0 mH inductor and a 0.300 µF capacitor. If the maximum instantaneous…

A: Given : Inductance, L = 20.0 mH = 20.0*10-3 H Capacitance, C = 0.300 μF = 0.300*10-6 F…

Q: A 96 resistor is connected in series with an 81 mH inductor and a 0.3 μF capac- itor. The applied…

A: Given Resistor = 96 Ohms Inductor = 81 mH Capacitor = 0.3 micro F The applied voltage has the form ε…

Q: At what frequency is the reactance of a 20-μF capacitor equal to that of a 10-mH inductor?

A: The expression for capacitive reactance is, XC=12πfC The expression for inductive reactance is,…

Q: For the same RLC series circuit having a 40.0 Ω resistor, a 3.00 mH inductor, a 5.00 µF capacitor,…

A: a) The power factor at 60 Hz can be found as, cosφ=RZ Here, impedance can be calculated as,…

Q: Consider an RLC circuit with emf amplitude E„ = 10 V, resistance R = 10 Q, inductance L = 1.0 H, and…

Q: At what frequency does the inductive reactance of a 79.0-uH inductor equal the capacitive reactance…

A: Given: L=79.0 μHC = 79.0 μF

Q: An LC circuit is built with a 50 mH inductor and an 6.0 pF capacitor. The capacitor voltage has its…

A: Inductance , L = 50 mH = 50 x 10-3 H Capacitance , C = 6 pF = 6 x 10-12 F Maximum Voltage , Vmax =…

Q: A series LRC circuit has an impedance of 1800 Q when operated at 13000 rad/s. It has a 0.420 H…

A: As per the guidelines we are supposed to answer only first question. Kindly repost other question as…

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: An L-R-C series circuit is constructed using a 1752 resistor, a 12.5µF capacitor, and an 8.00-mH…

A: Given R=175Ω L =8mH=8×10-3 H C =12.5×10-6 F ω=3160 rad/s Since the ac source, resistor , capacitor…

Q: An alternating source drives a series RLC circuit with an emf amplitude of 6.20 V, at a phase angle…

Q: A series RCL circuit contains a 76.3- resistor, a 2.92-µF capacitor, and a 4.25-mH inductor. When…

A: Given : Resistance (R) = 76.3 Ω Capacitance(C) = 2.92 μF = 2.92*10-6 F Inductance(L) = 4.25 mH =…

Q: A series RLC circuit has a 200-Q resistor, a 0.100-µF capacitor, and a 2.00-mH inductor connected…

A: Given Resistance R=200Ω Capacitance C=0.1μF Inductance L=2 mH Vrms=120 V frequency f=1000πHz

Q: An AC voltage with an amplitude of 100 V is applied to a series combination of 200 F capacitor, a…

A: Given that- An AC voltage with an amplitude of(v) =100 V C=200 uf L=100mH=100*10^-3 R=20 ohm To…

Q: For the same RLC series circuit having a 40.0 Ω resistor, a 3.00 mH inductor, a 5.00 μF capacitor,…

Q: What capacitor in series with a 100Ω resistor and a 28.0 mH inductor will give a resonance frequency…

A: Resonant frequency is given by,

Q: What is the resonant frequency of a 0.590 mH inductor connected to a 45.0 µF capacitor?

A: Given data: Inductance (L) = 0.590 mH = 0.590×10-3 H Capacitance (C) = 45.0 μF = 45.0×10-6 F…

Q: What inductor in series with a 100 Ω resistor and a 2.5 μF capacitor will give a resonance frequency…

Q: A simple series circuit consists of just a 38.1 µF capacitor and an 194 mH inductor, with no…

A: The given values are, C=38.1 μF=38.1×10-6 FL=194 mH=194×10-3 HQ=5.4 μC=5.4×10-6 C

Q: An RLC series circuit has a resistor 3.01 kn, an inductor 174 mH inductor, and a 31 nF capacitor.…

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

Q: A 56.0 resistor, a 3.00 µF capacitor, and a 0.400 H inductor are connected in series to a 94.0 V…

A: Given Data: The resistor is, R=56.0 Ω The capacitor is, C=3.00 µF The inductor is, L=0.400 H The…

Q: At what frequency does the inductive reactance of a 66.0-uH inductor equal the capacitive reactance…

A: Formula of frequency of LC-circuit is as follows: f=12πLCwhere,L=InductanceC=capacitance

Q: What capacitance is needed in series with a 100-2 resistor and 15-mH inductor to get a total…

A: We need to calculate the capacitance from the series LCR circuit. The total impedence of LCR series…

Q: An inductor is connected to a 15 kHz oscillator that produces an rms voltage of 6.0 V. The peak…

A: The expression for the inductance is, Vrms=I022πfLL=2Vrms2I0πf

Q: An alternating source drives a series RLC circuit with an emf amplitude of 6.25 V, at a phase angle…

A: Emf amplitude of RLC circuit εm = 6.25 V Phase angle ϕ = 32.9° Potential difference across the…

Q: An alternating source drives a series RLC circuit with an emf amplitude of 6.05 V, at a phase angle…

A: Given data *The emf amplitude is Em = 6.05 V *The phase angle is φ=30.30 *The potential difference…

Question

An RLC series circuit has a 2.50 Ω resistor, a 100 μH inductor, and an 80.0 μF capacitor. (a) Find the power factor at f = 120 Hz . (b) What is the phase angle at 120 Hz? (c) What is the average power at 120 Hz? (d) Find the average power at the circuit’s resonant frequency.

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

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 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

A 1.5k resistor and 30-mH inductor are connected in series, as below, across a120-V(rms)ac power source oscillating at 60-Hz frequency. (a) Find the current in the circuit. (b) Find the voltage drops across the resistor and inductor. (C) Find the impedance of the circuit. (d) Find the power dissipated in the resistor. (e) Find the power dissipated in the inductor. (1) Find the power produced by the source.
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?
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 .
The emf of an ac source is given by v(t)=V0sint, where V0=100V and =200 . Find an expression that represents the output current of the source if it is connected across (a) a 20-pF capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.
An RLC series circuit consists of a 50 resistor, a 200F capacitor, and a 120-mN inductor whose coil has a resistance of 20. The source for the circuit has an tins emf of 240 V at a frequency of 60 Hz. Calculate the tins voltages across the (a) resistor, (b) capacitor, and (c) inductor.
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?
An ac source of voltage amplitude 10 V delivers electric energy at a rate of 0.80 W when its current output is 2.5 A. What is the phase angle between the emf and the current?
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.
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?
Problems 71 and 72 paired. Figure P33.71 shows a series RLC circuit with a 25.0- resistor, a 430.0-mH inductor, and a 24.0-F capacitor connected to an AC source with Vmax = 60.0 V operating at 60.0 Hz. What is the maximum voltage across the a. resistor, b. inductor, and c. capacitor in the circuit? FIGURE P33.71 Problems 71 and 72.
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?
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