Please Show all work for clear explanation. What driving frequency is required from a source powering a 83 microFarad capacitor, a 405 Ohmresistor, and a 216 milliHenry inductor in series so that the current is maximized? (give your answerin Hertz to 1 decimal place of precision) What is the phase difference between the current and voltage in a RLC series circuit with a 469Ohm resistor, 64 microFarad capacitor, and a 273 milliHenry inductor, if the voltage source isoscillating with a frequency of 56 Hertz? (give your answer in degrees to 1 decimal place of precision)

Answered: Image /qna-images/answer/09382289-4aa8-4292-bf77-83b7a4ef2438.jpg

What driving frequency is required from a source powering a 83 microFarad capacitor, a 405 Ohm resistor, and a 216 milliHenry inductor in series so that the current is maximized? (give your answer in Hertz to 1 decimal place of precision)

What driving frequency is required from a source powering a 83 microFarad capacitor, a 405 Ohm resistor, and a 216 milliHenry inductor in series so that the current is maximized? (give your answer in Hertz to 1 decimal place of precision)

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter15: Alternating-current Circuits

Section: Chapter Questions

Problem 15.3CYU: Check Your Understanding Find the voltages across the resistor, the capacitor, and the inductor in...

See similar textbooks

Related questions

Q: At what frequency will an inductor of 1000 mH have a reactance of 500 N. Also find the current…

Q: What is the resonant frequency of a 0.500 mH inductor connected to a 40.0 μF capacitor?

A: Given: Inductance (L) = 0.5 mH Capacitance (C) = 40 μF Find the resonant frequency Now,

Q: A 2.0-Ω resistor, 1.9-uF capacitor and 0.12-H inductor are connected in series. Calculate the…

Q: If the value of inductance is 20 H and 4A of current flows through it, Find the value of energy…

A: Formula used to find energy stored in inductor is U = 0.5 L I2

Q: Suppose a 33 mH inductor has a reactance of 85 Ω. What would the frequency be in Hz?

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: What size capacitor should be placed in series with a 65 Q resistor and a 40 mH inductive coil if…

Q: A 6.0-uF capacitor, a 0.12-H inductor, and an 85-Ω resistor are connected in series across a 10-V,…

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: What value of inductance should be used if a 20.0 k2 reactance is needed at a frequency of 500 Hz?

Q: Why in present day technology we do not use inductance filters?

A: In the present day technology inductance filters because of damping of AC signals.

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: Chapter 23, Problem 09 A 9.3-mH inductor is connected to an ec generator (9.9 V ms, 810HI).…

A: Given that, The inductance of the inductor, L = 9.3 mH RMS voltage, Vrms = 9.9 V Frequency, f = 810…

Q: A series circuit consisting of a 0.398-henry inductor and a 212-µF capacitor is connected to a…

A: Given, L=0.398henry Capacitance=212 muoF Volt=125volt Current=2.5Amp

Q: Calculate the inductive reactance of a 3.00 mH inductor when 60.0 Hz and 10.0 kHz AC voltages are…

A: The inductive reactance is given by XL=2πfL

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: series circuit containing an inductor with an inductance of L henries, a resistor with a resistance…

A: Consider the given linear first order equation, substitute the required values, and solve.

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: What capacitance do you need to produce a resonant frequency of 1.00 GHz, when using an 8.00 nH…

Q: Is more energy stored in an inductor by doubling the inductance or by doubling thecurrent?

A: To determine: Whether the energy stored is more or not by doubling the inductance or the current.

Q: At 10 kHz an inductor has 10 times the reactance of a capacitor. At what frequency will their…

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: A 470 Ohms resistor, 10 micronFarah capacitor, and 750 mH inductor are each separately connected…

Q: A 4-79 permalloy solenoid coil needs to produce a minimum inductance of 1.5 Wb/m2 . If the maximum…

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: 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: A 2.0- resistor, 1.9-uF capacitor and 0.12-H inductor are connected in series. Calculate the…

Q: A 12.0 V battery isconnected into a series circuit containing a 10.0 Ohms resistor and 2.00 H…

Q: Calculate the frequency at which a 22 mH inductor have a reactance of 660 Ω?

A: Inductance of the inductor (L)=22 mH Inductive reactance of the inductor (XL)=660 Ω

Q: Would you use a large inductance or a large capacitance in series with a system to filter out low…

A: At a lower frequency, the capacitor has a large capacitive reactance because the capacitive…

Q: What value of inductance should be used if a 20.0 kΩ reactance is needed at a frequency of 500 Hz?

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

Q: An ideal inductor of 50 mH is connected in series with a 175-µF capacitor. The combination is then…

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

Q: What rms voltage is required to produce an rms current of 2.1 Ain a 66-mH inductor at a frequency of…

A: The rms voltage is given by Vrms = Irms XL where, XL is the inductive reactance.

Question

Please Show all work for clear explanation.

What driving frequency is required from a source powering a 83 microFarad capacitor, a 405 Ohm
resistor, and a 216 milliHenry inductor in series so that the current is maximized? (give your answer
in Hertz to 1 decimal place of precision)

What is the phase difference between the current and voltage in a RLC series circuit with a 469
Ohm resistor, 64 microFarad capacitor, and a 273 milliHenry inductor, if the voltage source is
oscillating with a frequency of 56 Hertz? (give your answer in degrees to 1 decimal place of precision)

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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

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 RLC series circuit, can the voltage measured across the capacitor be greater than the voltage of the source? Answer the same question for the voltage across the inductor.
In an LC circuit, what determines the frequency and the amplitude of the energy oscillations in either the inductor or capacitor?
What is the self-inductance of an LC circuit that oscillates at 60 Hz 1ien the capacitance is 10 F ?
Check Your Understanding Find the voltages across the resistor, the capacitor, and the inductor in the circuit of Figure 15.11using v(t)=v0sint asthe output of the ac generator.
a) What driving frequency is required from a source powering a 71 microFarad capacitor, a 429 Ohm resistor, and a 209 milliHenry inductor in series so that the current is maximized? (give your answer in Hertz to 1 decimal place of precision) b) What is the phase difference between the current and voltage in a RLC series circuit with a 466 Ohm resistor, 114 microFarad capacitor, and a 234 milliHenry inductor, if the voltage source is oscillating with a frequency of 57 Hertz? (give your answer in degrees to 1 decimal place of precision)
What is the resonant frequency of a 1.500 mH inductor connected to a 30.0-uF (micro-Farad) capacitor?
A Series RLC circuit consists of a 25-ohm resistor, a 0.221-henry inductor and a 66.3 microfarad capacitor. What should the voltage be if the current flowing through the series circuit is 2.5 Amperes?
A copacilou of 20 μF is connected in series with a 25 ohm resistance to a beak emf 240 wolt 50 Hz A.C. Calculate (1) The capacitive leactance of circuit. [Cic) Impedance of circuit (in) (Maximum cuvent in circuit.
The A.C. circuit consist of a resistor of 5 ohm and inductor of 10 mH connected in series with 50 volt 50 Hz supply. What capacitance should be connected in series with the circuit to obtain maximum current. Find the value of maximum current.
To receive AM radio, you want an RLC circuit that can be made to resonate at any frequency between 500 and 1650 kHz. This is accomplished with a fixed 1.00 μH inductor connected to a variable capacitor. What would be the minimum capacitance, in nanofarads, that would be required? Cmin = Part (b) What would be the maximum capacitance, in nanofarads, that would be required? Cmax=
A 10k ohm resistor is connected across a 500 V ac source. Find theinstantaneous current in the resistor at a phase angle of 35°.