A series circuit contains a 3.00 - H inductor, a 3.00 - mF capacitor,and a 30.0 - V resistor connected to a 120. - V (rms) sourceof variable frequency. Find the power delivered to the circuitwhen the frequency of the source is (a) the resonance frequency,(b) one - half the resonance frequency, (c) one - fourththe resonance frequency, (d) two times the resonance frequency,and (e) four times the resonance frequency. From yourcalculations, can you draw a conclusion about the frequency atwhich the maximum power is delivered to the circuit?

A series circuit contains a 3.00 - H inductor, a 3.00 - mF capacitor,and a 30.0 - V resistor connected to a 120. - V (rms) sourceof variable frequency. Find the power delivered to the circuitwhen the frequency of the source is (a) the resonance frequency,(b) one - half the resonance frequency, (c) one - fourththe resonance frequency, (d) two times the resonance frequency,and (e) four times the resonance frequency. From yourcalculations, can you draw a conclusion about the frequency atwhich the maximum power is delivered to the circuit?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 67P: In an oscillating LC circuit, the maximum charge on the capacitor is qm. Determine the charge on the...

See similar textbooks

Related questions

Q: A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The…

A: AS per guidelines, we are suppose to do only 3 subpart from multipart question. please post other…

Q: To construct an oscillating LC system, you can choose from a 10 mH inductor, a 5.0 mF capacitor, and…

Q: A balanced three - phase, three - wire abc system has delta - connected load witha 50 Q resistor, a…

Q: In an L-R-C series circuit, the resistor has a resistance of 214 ohms, the inductor has a reactance…

Q: A 50.0-Hz generator with an rms voltage of 115 V is connectedin series to a 3.12@kΩ resistor and a…

Q: Consider an LC circuit in which L = 520 mH and C = 0.128 µF. (a) What is the resonance frequency w,?…

A: L = 0.52 H C = 0.128 micro farad

Q: A series circuit contains a 3.00-H inductor, a 2.80-uF capacitor, and a 25.0-N resistor connected to…

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: Find the average power (in W) at 10.0 kHz for an RLC series circuit having a 32.0 0 resistor, a 2.60…

A: For series RLC circuit, the average power for an series RLC circuit is given by the relation P =…

Q: A resistor with R = 300 Ω and an inductor are connectedin series across an ac source that has…

A: Given data, R = 300 Ω V = 500 V Power dissipated across resistor = 286 W

Q: If you want to build an RLC circuit exhibiting critical damping behav- ior with a capacitor that has…

A: Write the given data. C=25×10-6 FL=18×10-3 HR=17 Ohm

Q: A 0.368 H inductor is connected to a capacitor and a 26.3 2 resistor along with a 54.6 Hz, 37.9 V…

Q: A 120-V rms voltage at 1.0 kHz is applied to a 2.0-mH inductor, a 4.0-µF capacitor and a resistor.…

A: Given Vrms=120 V Irms=30A Frequency f=1kHz Inductance L=2mH Capacitance C=4μF

Q: An alternating source drives a series RLC circuit with an emf amplitude of 6.00 V, at a phase angle…

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: An alternating source drives a series RLC circuit with an emf amplitude of 6.24 V, at a phase angle…

A: Write the expression for the resultant emf.

Q: A 38.0-mH inductor is connected to a North American electrical outlet (AV = 120 V, f = 60.0 Hz).…

A: Given, V02=120 ⇒V0=1202 Volts

Q: A generator with an adjustable frequency of oscillation is wired in series to an inductor of L =…

Q: A 200 Ω resistor, 1.6 H inductor, and 3.0 μF capacitor are connected in series across a 60 Hz, 120 V…

A: Given resistance(R)=200 ohms Inductance (L)=1.6 H Capacitance (C)=3.0*106 F Frequency (F)=60 Hz…

Q: An RL circuit consists of a resistor with a resistance of 13 Ohms and an inductor with an inductance…

Q: An RLC series circuit has a 40.0 ohms resistor, a 3.00 mH inductor, and a 5.00 uF capacitor, and a…

A: GivenR = 40.0 ΩL= 3.00 mHC =5.00 μFVrms = 120 V

Q: A circuit consists of an ideal ac generator, a 20-uF capac- itor, and an 80-2 resistor, all…

A: Given, Capacitance=20muoF Resistance=80ohm Peak emf=20v

Q: What will be the total reactance of a system with a 1 μF capacitor, a 2.0 mH inductor, and a 10 kHz…

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

Q: A 48.0 Ω resistor, a 0.900 H inductor, and a 17.0 µF capacitor are connected in series to a 60.0 Hz…

Q: A sinusoidal voltage of 20.0 V rms and a frequency of 100 Hz is applied separately to three…

A: Since you have asked multi-part questions, we will solve the first three parts for you. In case you…

Q: In an oscillating series RLC circuit, with a 8.36 2 resistor and a 15.8 H inductor, find the time…

A: Assume charge at capacitor at time t=0 is Q In RlC circuit charge across capacitor is :- q =…

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…

A: Please note : As per answering guidelines I can answer the first three parts of a multisub-part…

Q: Suppose we wouldlike to change the phase angle for this circuit to f = -25.0°, andwe would like to…

Q: At what frequency would the reactance of a 10 -µF capacitor equal the reactance of a 1.0-µF…

A: Given, capacitor of capacitance, C = 10 μFInductance of the inductor, L = 1.0 μH

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

A: Resistance, R = 40 Ω Inductance, L = 3 mH capacitance, C = 5.00 µF Vrms = 120 V

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

A: Resistance, R = 40 Ω Inductor, L= 3 mH capacitor, C = 5 μF Vrms = 120 V frequency, f = 50 Hz

Q: A charge capacitor is connected to an ideal inductor to form an LC ciruit with a frequency of…

A: When the capacitor has maximum energy, the circuit will have only electric energy. At any other…

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: Consider an LC circuit in which L = 480 mH and C = 0.108 µF. (a) What is the resonance frequency w,?…

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

A: Given that, R = 40.0 Ω L = 3×10-3 H C = 5×10-6 F Angular frequency is given by-…

Q: For the given voltage across a 3 H inductor, plot the current and power waveforms assuming an…

A: In this question we are given a 3 H inductor and we have to plot the current and power waveforms.

Q: Aseries circuit contains a resistor with R = 40Ω, an inductor with L = 2 H, a capacitor with 0.0025…

A: Given : Resistor, R = 40 Ω Inductor, L = 2 H Capacitor, C = 0.0025 F Voltage, V(t) =…

Q: A 21 mH inductor with 3.0 Ω resistance is connected in series to a 17 μF capacitor and a 75 Hz , 49…

Q: When an inductor is connected to a source of sinusoidally varying voltage with constant amp and…

A: Given value--- constant frequency = 60 Hz. rms value of current = 3 Amp. We have to find--- value…

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: A series AC circuit contains a resistor, an inductor of150. mH, a capacitor of 5.00 µF, and a…

A: Part A:

Q: The output voltage of an AC generator is given by Δv =(170 V) sin (60πt). The generator is connected…

A: a)The general expression for instantaneous voltage is

Question

A series circuit contains a 3.00 - H inductor, a 3.00 - mF capacitor,
and a 30.0 - V resistor connected to a 120. - V (rms) source
of variable frequency. Find the power delivered to the circuit
when the frequency of the source is (a) the resonance frequency,
(b) one - half the resonance frequency, (c) one - fourth
the resonance frequency, (d) two times the resonance frequency,
and (e) four times the resonance frequency. From your
calculations, can you draw a conclusion about the frequency at
which the maximum power is delivered to the circuit?

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

Step 7

Step 8

Trending now

This is a popular solution!

Step by step

Solved in 8 steps with 8 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

In an LC circuit, what determines the frequency and the amplitude of the energy oscillations in either the inductor or capacitor?
In an oscillating LC circuit, the maximum charge on the capacitor is qm. Determine the charge on the capacitor and the current through the inductor den energy is shared equally between the electric and magnetic fields. Express your answer in terms of qm, L, and C.
What rms voltage is required to produce an rms current of 2.1 Ain a 66-mH inductor at a frequency of 25 Hz?
A 50.0-Hz generator with an rms voltage of 115 V is connectedin series to a 3.12@kΩ resistor and a 1.65@mF capacitor. Find (a) therms current in the circuit and (b) the phase angle, f, between thecurrent and the voltage
A 120-V rms voltage at 1000 Hz is applied to an indutor, a 2.00μF capaitor and a 100ohm resistor, all in series. If the rms value of the current in this circuit is 0.680 A, determine the inductane of the inductor.
For the same RLC series circuit having a 40.0 Ω resistor, a 3.00 mH inductor, and a 5.00 μF capacitor.Find the resonant frequency.
Suppose we wouldlike to change the phase angle for this circuit to f = -25.0°, andwe would like to accomplish this by changing the resistor to avalue other than 175 Ω. The inductor is still 90.0 mH, the capacitor is 15.0 mF, the rms voltage is 120.0 V, and the ac frequencyis 60.0 Hz. (a) Should the resistance be increased or decreased?Explain. (b) Find the resistance that gives the desired phase angle.(c) What is the rms current in the circuit with the resistance foundin part (b)?
A series AC circuit contains a resistor, an inductor of150. mH, a capacitor of 5.00 µF, and a generator with ΔVmax =240. V operating at 50.0 Hz. The maximum current in the circuitis 100. mA. Calculate (a) the inductive reactance, (b) thecapacitive reactance, (c) the impedance, (d) the resistance inthe circuit, and (e) the phase angle between the current andthe generator voltage.
A series RLC circuit is connected to an oscillator with an rms voltage of 42.0 V, and consists of a 46.0 mH inductor, a 1.90 nF capacitor, and a 140. Ω resistor. If ω = ω0, what is the power supplied to the circuit?
An RLC series circuit has a 40.0 ohms resistor, a 3.00 mH inductor, and a 5.00 uF capacitor, and a voltage source of 120Vrms. What's the RMS current through the inductor at resonance?
An alternating source drives a series RLC circuit with an emf amplitude of 6.00 V, at a phase angle of 30.0°.When the potential difference across the capacitor reaches its maximum positive value of 5.00 V, what is the potential difference across the inductor (sign included)?
A generator delivers an AC voltage of the form Δv = (98.0 V)sin (80πt) to a capacitor. The maximum current in the circuitis 0.500 A. Find the (a) rms voltage of the generator, (b) frequencyof the generator, (c) rms current, (d) reactance, and(e) value of the capacitance.