University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 15, Problem 36P
Calculate the resonant angular freqency of an RLC series circuit for which
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(a) Calculate the resonant angular frequency of an RLC series circuit for which R = 20 Ω , L = 75 mH , and C = 4.0μF. (b) If R is changed to 300 Ω, what happens to the resonant angular frequency?
(a) Calculate the resonant angular frequency of anRLC series circuit for which R = 20 Ω, L = 75 mH , andC = 4.0µF. (b) If R is changed to 300 Ω, what happensto the resonant angular frequency?
(a) What is the resonant frequency of an RLC series circuit with R = 20 Ω , L = 2.0 mH , and C = 4.0μF ? (b) What is the impedance of the circuit at resonance?
Chapter 15 Solutions
University Physics Volume 2
Ch. 15 - Check Your Understanding If a European ac voltage...Ch. 15 - Check Your Understanding Repeat Example 15.1 for...Ch. 15 - Check Your Understanding Find the voltages across...Ch. 15 - Check Your Understanding An ac voltmeter attached...Ch. 15 - Check Your Understanding Show that the tins...Ch. 15 - Check Your Understanding In the circuit of Figure...Ch. 15 - Check Your Understanding What happens to the...Ch. 15 - Check Your Understanding The resonant angular...Ch. 15 - Check Your Understanding A transformer steps the...Ch. 15 - What is the relationship between frequency and...
Ch. 15 - Explain why at high frequencies a capacitor acts...Ch. 15 - In an RLC series circuit, can the voltage measured...Ch. 15 - For what value of the phase angle between the...Ch. 15 - Discuss the differences between average power and...Ch. 15 - The average ac current delivered to a circuit is...Ch. 15 - Can the instantaneous power output of an ac source...Ch. 15 - The power rating of a resistor used in ac circuits...Ch. 15 - Why do transmission lines operate at very hig1...Ch. 15 - How can you distinguish the primary winding from...Ch. 15 - Battery packs in some electronic devices are...Ch. 15 - Will a transformer work if the input is a dc...Ch. 15 - Why are the primary and secondary coils of a...Ch. 15 - Write an expression for the output voltage of an...Ch. 15 - Calculate the reactance of a 5.0F capacitor at (a)...Ch. 15 - What is the capacitance of a capacitor whose...Ch. 15 - Calculate the reactance of a 5.0-mH inductor at...Ch. 15 - What is the self-inductance of a coil whose...Ch. 15 - At s1iat frequency is the reactance of a 20F...Ch. 15 - At 1000 Hz, the reactance of a 5.0-mH inductor is...Ch. 15 - A 50resistor is connected across the emf...Ch. 15 - A 25F capacitor is connected to an emf given by...Ch. 15 - A 100-mH inductor is connected across the emf of...Ch. 15 - What is the impedance of a series combination of a...Ch. 15 - A resistor and capacitor are connected in series...Ch. 15 - A resistor and inductor are connected in series...Ch. 15 - In an RLC series circuit, the voltage amplitude...Ch. 15 - An PLC series circuit with R=600 , L = 30 mH. and...Ch. 15 - For the cucu3t shown below, what are (a) the total...Ch. 15 - The emf of an ac source is given by v(t)=v0sint....Ch. 15 - Calculate the rms currents for an ac source is...Ch. 15 - A 40-mH inductor is connected to a 60-Hz AC source...Ch. 15 - For an RLC series circuit, the voltage amplitude...Ch. 15 - An ac source of voltage amplitude 10 V delivers...Ch. 15 - An RLC series circuit has an impedance of 60 and a...Ch. 15 - Calculate the resonant angular freqency of an RLC...Ch. 15 - The resonant frequency of RLC series circuits is...Ch. 15 - (a) What is the resonant frequency of an RLC...Ch. 15 - For an RLC series circuit, R=100 , L = 150 mH, and...Ch. 15 - An ac source of voltage amplitude 100 V and...Ch. 15 - (a) What is the resonant frequency of a resistor,...Ch. 15 - Suppose a coil has a self-inductance of 20.0 H and...Ch. 15 - An ac generator is connected to a device whose...Ch. 15 - A step-up transformer is designed so that the...Ch. 15 - A step-up transformer connected to a 100-V line U...Ch. 15 - An ac source of emf delivers 5.0 mW of power at an...Ch. 15 - A transformer is used to down 110 V from a wall...Ch. 15 - A transformer is used to supply a 12-V model train...Ch. 15 - The emf of an ac source is given by v(t)=V0sint,...Ch. 15 - A 700-pF capacitor is connected across an ac...Ch. 15 - A 20-mH inductor is connected across an AC source...Ch. 15 - A 30F capacitor is connected across a 60-Hz ac...Ch. 15 - A 7.0-mH induct is connected across a 60-Hz ac...Ch. 15 - What is the impedance of an RLC series circuit at...Ch. 15 - What is the resistance R in the circuit shown...Ch. 15 - An ac source of voltage amplitude 100 V and...Ch. 15 - In an RLC series circuit, R=200,L=1.0H ,...Ch. 15 - A power plant generator produces 100 A at 15 kV...Ch. 15 - Consider a power plant located 25 km outside a...Ch. 15 - Neon signs require 12-kV for their operation. A...Ch. 15 - The 335-kV ac electricity from a power...Ch. 15 - A 1.5k resistor and 30-mH inductor are connected...Ch. 15 - A 20 resistor, 50F capacitor, and 30-mH inductor...Ch. 15 - A 200- resistor, 150- F capacitor, and 23-H...Ch. 15 - Find the reactances of the following capacitors...Ch. 15 - An output impedance of an audio amplifier has an...Ch. 15 - Show that the SI unit for capacitive reactance is...Ch. 15 - A coil with a self-inductance of 16 mH and a...Ch. 15 - An RLC series circuit consists of a 50 resistor, a...Ch. 15 - An RLC series circuit consists of a 10 resistor,...Ch. 15 - Shown below are two circuits that act as crude...Ch. 15 - The two circuits shown below act as crude low-pass...
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- 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?arrow_forwardAn 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.arrow_forwardCheck 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?arrow_forward
- Explain why at high frequencies a capacitor acts as an ac short, whereas an inductor acts as an open circuit.arrow_forwardIn an ideal AC circuit with capacitance, there is no resistance. Is any energy dissipated? How about in a real AC circuit with capacitance?arrow_forwardIn 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.arrow_forward
- For an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively; R=500 ; and L = 0.20H . Find the average power dissipated in the resistor for the following values for the capacitance: (a) C=2.0F and (b) C=2.0F .arrow_forwardA 20-mH inductor is connected across an AC source with a variable frequency and a constant-voltage amplitude of 9.0 V. (a) Determine the reactance of the circuit and the maximum current through the inductor when the frequency Is set at 20 kHz. (b) Do the same calculations for a frequency of 60 Hz.arrow_forwardThe emf of an ac source is given by v(t)=v0sint. where V0=100V and at =200rad/s . Calculate the average power output of the source if it is connected across (a) a 20F capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.arrow_forward
- The resonant frequency of RLC series circuits is 2.0103Hz , If the self-inductance in the circuit is 5.0 mH, what is the capacitance in the circuit?arrow_forwardSuppose a coil has a self-inductance of 20.0 H and a resistance of 200 . What (a) capacitance and (b) resistance must be connected in series with the coil to produce a circuit that has a resonant frequency of 100 Hz and a Q of 10?arrow_forwardCheck Your Understanding The resonant angular frequency of an RLC series circuit is 4.0102 rad/s. An ac source operating at this frequency transfers an average power of 2.0102W to the circuit. The resistance of the circuit Is 0.50 Q. Write an expression for the emf of the source.arrow_forward
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