A series RCL circuit contains only a capacitor (C=7.39 µF), an inductor (L=5.77 mH), and a generator (peak voltage = 78.5 V, frequency - 3.05 x 10³ Hz). When t-Os, the instantaneous value of the voltage is zero, and it rises to a maximum one-quarter of a period later. (a) Find the instantaneous value of the voltage across the capacitor/inductor combination when t-8.27 x 10 s. (b) What is the instantaneous value of the current when t-8.27 x 10 s? Be sure to include the plus and minus signs in the answers if applicable. (Hint: The instantaneous values of the voltage and current are the vertical components of the voltage and current phasors, respectively.) Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise. (a) Number (b) Number i Units Units 0

A series RCL circuit contains only a capacitor (C=7.39 µF), an inductor (L=5.77 mH), and a generator (peak voltage = 78.5 V, frequency - 3.05 x 10³ Hz). When t-Os, the instantaneous value of the voltage is zero, and it rises to a maximum one-quarter of a period later. (a) Find the instantaneous value of the voltage across the capacitor/inductor combination when t-8.27 x 10 s. (b) What is the instantaneous value of the current when t-8.27 x 10 s? Be sure to include the plus and minus signs in the answers if applicable. (Hint: The instantaneous values of the voltage and current are the vertical components of the voltage and current phasors, respectively.) Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise. (a) Number (b) Number i Units Units 0

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter15: Alternating-current Circuits

Section: Chapter Questions

Problem 62CP: A 1.5k resistor and 30-mH inductor are connected in series, as below, across a120-V(rms)ac power...

See similar textbooks

Similar questions

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.
When the current in the RL circuit of Figure 14.12(b) reaches its final value /R, what is the voltage across the inductor? Across the resistor?
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?
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 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?
Explain why at high frequencies a capacitor acts as an ac short, whereas an inductor acts as an open circuit.
Calculate the rms currents for an ac source is given by v(t)=v0sint , where V0=100V and =200rad/s when connected across (a) a 20F capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.
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.
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.
An ac source of voltage amplitude 100 V and variable frequency f drives an RLC series circuit with R=10 , L = 2.0 mH, and C=25F (a) Plot the canal through the resistor as a function of the frequency f. (b) Use the plot to determine the resonant frequency of the circuit.
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?
Calculate the reactance of a 5.0-mH inductor at (a) 60 Hz, (b) 600 Hz, and (C) 6000 Hz.