An L−R−C series circuit has R= 280 Ω . At the frequency of the source, the inductor has reactance XLL= 905 Ω and the capacitor has reactance XC= 485 Ω . The amplitude of the voltage across the inductor is 445 V . What is the amplitude of the voltage across the resistor and the capacitor? What is the voltage amplitude of the source? What is the rate at which the source is delivering electrical energy to the circuit?

An L−R−C series circuit has R= 280 Ω . At the frequency of the source, the inductor has reactance XLL= 905 Ω and the capacitor has reactance XC= 485 Ω . The amplitude of the voltage across the inductor is 445 V . What is the amplitude of the voltage across the resistor and the capacitor? What is the voltage amplitude of the source? What is the rate at which the source is delivering electrical energy to the circuit?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter15: Alternating-current Circuits

Section: Chapter Questions

Problem 28P: An PLC series circuit with R=600 , L = 30 mH. and c=0.050F is driven by an ac source whose frequency...

See similar textbooks

Similar questions

In an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively, an R = 5O0. L=0.20H, and C=2.0F . (a)What is the impedance of the circuit? (b) What is the amplitude of the current from the source? (C) If the emf of the source Is given by v(tt)=(100V)sin , how does the current vary with time? (d) Repeat the calculations with C changed to 0.20F .
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.
An ac source of voltage amplitude 100 V and frequency 1.0 kHz drives an PLC series circuit with R=20, L = 4.0 mH, and C=50F . (a) Determine the rms current through the circuit, (b) What are the rms voltages across the three elements? (c) What is the phase angle between the emf and the current? (d) What is the power output of the source? (e) What is the power dissipated in the resistor?
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?
A 200- resistor, 150- F capacitor, and 23-H inductor are connected in series with an ac source of amplitude 10 V and variable angular frequency . (a) What is the value of the resonance frequency R? (b) What is the amplitude of the current if =R ? (c) What is the phase constant of the current when =R ? Is it leading or lagging the source voltage, or is It In phase? (d) Write an equation for the voltage drop across the resistor as a function of time when =R . (e) What is the power factor of the circuit when =R ? (f) How much energy is used up by the resistor in 2.5s when =R ?
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.
A 20 resistor, 50F capacitor, and 30-mH inductor are connected in series with an ac source of amplitude 10 V and frequency 125 Hz. (a) What is the impedance of the circuit? (b) What is the amplitude of the current in the circuit? (c) What is the phase constant of the current? Is it leading or lagging the source voltage? (d) Write voltage drops across the resistor, capacitor, and inductor and the source voltage as a function of time, (e) What is the power factor of the circuit? (f) How much energy is used by the resistor in 2.5 s?
A 7.0-mH induct is connected across a 60-Hz ac source whose voltage amplitude is 50 V. (a) What is the maximum current through the inductor? (b) What is the phase relationship between the current through and the potential difference across the inductor?
In the AC circuit shown in Figure P32.3, R = 70.0 and the output voltage of the AC source is Vmax sin t. (a) If VR = 0.250 Vmax for the first time at t = 0.0100 s, what is the angular frequency of the source? (b) What is the next value of t for which VR = 0.250 Vmax? Figure P32.6 Problem 3 and 5.
An RLC series circuit has an impedance of 60 and a power factor of 0.50, with the voltage Lagging the current (a) Should a capacitor or an inductor be placed in series with the elements to raise the power factor of the circuit? (b) What is the value of the capacitance or self-inductance that will raise the power factor to unity?
An inductor and a resistor are connected in series across an AC source as in Figure OQ33.1. Immediately after the switch is closed, which of the following statements is true? (a) The current in the circuit is V/R. (b) The voltage across the inductor is zero, (c) The current in the circuit is zero, (d) The voltage across the resistor is V (e) The voltage across the inductor is half its maximum value.
An AC source operating at 60. Hz with a maximum voltage of 170 V is connected in series with a resistor (R = 1.2 k) and a capacitor (C = 2.5 F). (a) What is the maximum value of the current in the circuit? (b) What are the maximum values of the potential difference across the resistor and the capacitor? (c) When the current is zero, what are the magnitudes of the potential difference across the resistor, the capacitor, and the AC source? How much charge is on the capacitor at this instant? (d) When the current is at a maximum, what are the magnitudes of the potential differences across the resistor, the capacitor, and the AC source? How much charge is on the capacitor at this instant?