A group of students were required to determine the inductance of an inductor and its DC resistance. Using an AC circuit with R = 150 ohms and a capacitance of 0.36 uF, they determined the resonant frequency to be 2600 Hz and the total impedance at resonance to be 188.9 ohms. Using this information, determine the inductance, DC resistance of the inductor, and the total impedance of the circuit at 4000 Hz. Inductance, L =_______ DC resistance, R_L = _______ Impedence, Z @ 4000 Hz = ________ ANS: L = 1.04e-002 H R_L = 38.9 Z = 241.9

A group of students were required to determine the inductance of an inductor and its DC resistance. Using an AC circuit with R = 150 ohms and a capacitance of 0.36 uF, they determined the resonant frequency to be 2600 Hz and the total impedance at resonance to be 188.9 ohms. Using this information, determine the inductance, DC resistance of the inductor, and the total impedance of the circuit at 4000 Hz. Inductance, L =_______ DC resistance, R_L = _ Impedence, Z @ 4000 Hz = __ ANS: L = 1.04e-002 H R_L = 38.9 Z = 241.9

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter15: Alternating-current Circuits

Section: Chapter Questions

Problem 26P: A resistor and inductor are connected in series across an ac generator. The emf of the generator is...

See similar textbooks

Similar questions

A resistor and inductor are connected in series across an ac generator. The emf of the generator is given by v(t)=V0cost , where V0=120V and =120rad/s ; also, R=400 and L = 1.5 H. (a) What Is the impedance of the circuit? (b) What is the amplitude of the current through the resistor? (C) Write an expression for the current through the resistor. (d) Write expressions representing the voltages across the resistor and across the inductor.
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?
An inductor with inductance L is connected to an AC source. If the AC source provides a voltage VL(t) = V0cos(omegat), what is the current IL(t) through the inductor as a function of time?
A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε =Va - Vb = εmsinωt, where εm = 120 V and ω = 312 radians/second. The inductance L = 282 mH. The values for the capacitance C and the resistance R are unkown. What is known is that the current in the circuit leads the voltage across the generator by φ = 44 degrees and the average power delivered to the circuit by the generator is Pavg = 75 W. What is Imax, the amplitude of the current oscillations in the circuit? What is R, the value of the resistance of the circuit? What is C, the value of the capacitance of the circuit? What is the average power delivered to the circuit when it is in resonance?
A circuit has a resistor with resistance equal to 8 Ω, a capacitor with capacitance 746 μF, and an inductor with inductance 8e-4 H. What is the total impedance of the circuit if the angular frequency of AC is 60 Hz? 23.69 Ω 11.49 Ω 9.65 Ω 13.66 Ω
For Ac circuit with a supply voltage of 120 Volts, and frequency of 60 Hz is connected to inductor, L1 = 106 mH. What is the reactance of the circuit? L1 120 Vms 60 Hz 106MH Vs
LRC Series Circuit. An LRC series circuit investigated in an experiment is composed of a 160.-N resistor, a 24.0-µF capacitor, and an inductor. The circuit is connected to an ac voltage source with a voltage amplitude of 120. V and frequency of 60.0 Hz. If the current amplitude in the circuit is 0.349 A, what is the inductance of the inductor in the LRC series circuit? А. 1.10 Н В. 16.6 H C. 0.329 H D. 0.807 H 10. LRC Series Circuit: Lead or Lag? For the LRC series circuit considered in Item 9, does the source voltage lead or lag the current in the circuit? By how much? A. The source voltage leads the current in the circuit by 68.9°. B. The source voltage lags the current in the circuit by 62.3°. C. The source voltage leads the current in the circuit by 62.3°. D. The source voltage lags the current in the circuit by 68.9°.
A series AC circuit contains a voltage source, a resistor, a capacitor, and an inductor. The voltage source supplies the voltage v = V0 sin(ωt), where V0 = 110 V and ω = 65 rad/s. The components’ values are R = 44 Ω, C = 0.068 F, and L = 1.1 H. Part (d) Find the maximum current in the circuit, in amperes. Part (e) Calculate the rms current in the circuit, in amperes. Part (f) Find the average power delivered to the circuit, in watts.
Consider an AC circuit consisting of an AC voltage source, a 30-W resistor, a 450-mF capacitor, and a 0.35 H inductor in series. A current given by 20 mA cos(127 rad/s * t) flows through the circuit.What is the voltage across the capacitor as a function of time? What is the voltage across the inductor as a function of time? What is the voltage across the AC voltage source as a function of time, written as a single term? How much energy is dissipated in the resistor in one minute?
An inductor with inductance L is connected to an AC source. If the AC source provides a voltage VL(t) = V0cos(omegat), what is the current IL through the inductor as a function of time? Use the cosine function.
A circuit containing a capacitor and an inductor in series has a resonant frequency of 155 kHz. Thecapacitor in the circuit has a capacitance of 215 μF. What is the inductive reactance of the circuit?Give your answer in scientific notation to four decimal places.
When an inductor with L = 10 mH is attached to an AC voltage source, the inductive reactance is 7900 Ω. What is the capacitive reactance of a capacitor with C = 430 pF when attached to the same voltage source?