Physics for Scientists and Engineers With Modern Physics
9th Edition
ISBN: 9781133953982
Author: SERWAY, Raymond A./
Publisher: Cengage Learning
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Chapter 33, Problem 33P
To determine
The initial capacitive reactance in terms of
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In an RLC series circuit that includes a source of alternating current operating at fixed frequency and voltage, the resistance R is equal to the inductive reactance. If the plate separation of the parallel-plate capacitor is reduced to one-half its original value, the current in the circuit doubles. Find the initial capacitive reactance in terms of R.
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You may want to review (Pages 915-918).
Part A
Determine the impedance at frequency 3000 Hz.
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Determine the peak current at frequency 3000 Hz.
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Determine phase angle at frequency 3000 Hz.
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An RC circuit has an impedance of 130 Ω when connected across a 60.0 Hz power source that produces a 90.0 Vrms voltage. The capacitor has a capacitance of 75.0 ?F. An inductor with inductance 130 mH is added, to make a series RLC circuit.
Draw a clear physics diagram of the problem
What is the impedance of the new RLC circuit?
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Chapter 33 Solutions
Physics for Scientists and Engineers With Modern Physics
Ch. 33.2 - Consider the voltage phasor in Figure 32.4, shown...Ch. 33.3 - Consider the AC circuit in Figure 32.8. The...Ch. 33.4 - Consider the AC circuit in Figure 32.11. The...Ch. 33.4 - Consider the AC circuit in Figure 32.12. The...Ch. 33.5 - Label each part of Figure 32.16, (a), (b), and...Ch. 33.6 - Prob. 33.6QQCh. 33.7 - Prob. 33.7QQCh. 33 - Prob. 1OQCh. 33 - Prob. 2OQCh. 33 - Prob. 3OQ
Ch. 33 - Prob. 4OQCh. 33 - Prob. 5OQCh. 33 - Prob. 6OQCh. 33 - Prob. 7OQCh. 33 - A resistor, a capacitor, and an inductor are...Ch. 33 - Under what conditions is the impedance of a series...Ch. 33 - Prob. 10OQCh. 33 - Prob. 11OQCh. 33 - Prob. 12OQCh. 33 - Prob. 13OQCh. 33 - Prob. 1CQCh. 33 - Prob. 2CQCh. 33 - Prob. 3CQCh. 33 - Prob. 4CQCh. 33 - Prob. 5CQCh. 33 - Prob. 6CQCh. 33 - Prob. 7CQCh. 33 - Prob. 8CQCh. 33 - Prob. 9CQCh. 33 - Prob. 10CQCh. 33 - Prob. 1PCh. 33 - (a) What is the resistance of a lightbulb that...Ch. 33 - Prob. 3PCh. 33 - Prob. 4PCh. 33 - Prob. 5PCh. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8PCh. 33 - Prob. 9PCh. 33 - Prob. 10PCh. 33 - Prob. 11PCh. 33 - Prob. 12PCh. 33 - An AC source has an output rms voltage of 78.0 V...Ch. 33 - Prob. 14PCh. 33 - Prob. 15PCh. 33 - Prob. 16PCh. 33 - Prob. 17PCh. 33 - An AC source with an output rms voltage of 86.0 V...Ch. 33 - Prob. 19PCh. 33 - Prob. 20PCh. 33 - Prob. 21PCh. 33 - Prob. 22PCh. 33 - What is the maximum current in a 2.20-F capacitor...Ch. 33 - Prob. 24PCh. 33 - In addition to phasor diagrams showing voltages...Ch. 33 - Prob. 26PCh. 33 - Prob. 27PCh. 33 - Prob. 28PCh. 33 - Prob. 29PCh. 33 - Prob. 30PCh. 33 - Prob. 31PCh. 33 - A 60.0-ft resistor is connected in series with a...Ch. 33 - Prob. 33PCh. 33 - Prob. 34PCh. 33 - A series RLC circuit has a resistance of 45.0 and...Ch. 33 - Prob. 36PCh. 33 - Prob. 37PCh. 33 - An AC voltage of the form v = 90.0 sin 350t, where...Ch. 33 - Prob. 39PCh. 33 - Prob. 40PCh. 33 - Prob. 41PCh. 33 - A series RLC circuit has components with the...Ch. 33 - Prob. 43PCh. 33 - Prob. 44PCh. 33 - A 10.0- resistor, 10.0-mH inductor, and 100-F...Ch. 33 - Prob. 46PCh. 33 - Prob. 47PCh. 33 - Prob. 48PCh. 33 - The primary coil of a transformer has N1 = 350...Ch. 33 - A transmission line that has a resistance per unit...Ch. 33 - Prob. 51PCh. 33 - Prob. 52PCh. 33 - Prob. 53PCh. 33 - Consider the RC highpass filter circuit shown in...Ch. 33 - Prob. 55PCh. 33 - Prob. 56PCh. 33 - Prob. 57APCh. 33 - Prob. 58APCh. 33 - Prob. 59APCh. 33 - Prob. 60APCh. 33 - Prob. 61APCh. 33 - Prob. 62APCh. 33 - Prob. 63APCh. 33 - Prob. 64APCh. 33 - Prob. 65APCh. 33 - Prob. 66APCh. 33 - Prob. 67APCh. 33 - Prob. 68APCh. 33 - Prob. 69APCh. 33 - (a) Sketch a graph of the phase angle for an RLC...Ch. 33 - Prob. 71APCh. 33 - Prob. 72APCh. 33 - A series RLC circuit contains the following...Ch. 33 - Prob. 74APCh. 33 - Prob. 75APCh. 33 - A series RLC circuit in which R = l.00 , L = 1.00...Ch. 33 - Prob. 77CPCh. 33 - Prob. 78CPCh. 33 - Prob. 79CPCh. 33 - Figure P33.80a shows a parallel RLC circuit. The...Ch. 33 - Prob. 81CP
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- An PLC series circuit with R=600 , L = 30 mH. and c=0.050F is driven by an ac source whose frequency and voltage amplitude are 500 Hz and 50 V, respectively, (a) What is the impedance of the circuit? (b) What is the amplitude of the current in the circuit? (c) What is the phase angle between the emf of the source and the current?arrow_forwardFor 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_forwardAn 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.arrow_forward
- 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 .arrow_forwardA 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?arrow_forwardAn 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?arrow_forward
- The emf of an ac source is given by v(t)=V0sint, where V0=100V and =200 . Find an expression that represents the output current of the source if it is connected across (a) a 20-pF capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.arrow_forwardA 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 ?arrow_forwardAt 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?arrow_forward
- An ac source of voltage amplitude 10 V delivers electric energy at a rate of 0.80 W when its current output is 2.5 A. What is the phase angle between the emf and the current?arrow_forwardIn an oscillating RLC circuit, R = 7.0 L. = 10 mH. And C = 3.0 F. Initially, the capacitor has a charge of 8.0 C and the current is zero. Calculate the charge on the capacitor (a) five cycles later and (b) 50 cycles later.arrow_forwardThe RC high-pass filter shown in Figure P33.53 has a resistance R = 0.500 and a capacitance C = 613 F. What is the ratio of the amplitude of the output voltage to that of the input voltage for this filter for a source frequency of 600 Hz?arrow_forward
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