Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 32, Problem 15P
In addition to phasor diagrams showing voltages such as in Figure 32.15, we can draw phasor diagrams with resistance and reactances. The resultant of adding the phasors is the impedance. Draw to scale a phasor diagram showing Z, XL, XC, and ϕ for an AC series circuit for which R = 300 Ω, C = 11.0 μF, L = 0.200 H, and f = 500/π Hz.
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What are (a) the capacitive reactance, (b) the inductive reactance, (c) the impedance, (d) the current amplitude, and (e) the phase difference between the current and the emf of the generator? If known that the output of an ac generator connected to an RLC series combination has a frequency of 200 Hz and an amplitude of 0.100 V. Values for elements in circuit:R = 4.00 Ω, L = 3.00 × 10−3H, and C = 8.00 × 10−4F.
In a purely inductive AC circuit as shown in the figure, ΔVmax = 100 V.
A square circuit is shown. On its left side is an AC source of voltage ΔVmax sin(2?ft). On the right side of the loop is an inductor of inductance L.
(a) The maximum current is 8.70 A at 55.0 Hz. Calculate the inductance L.
(b) At what angular frequency ? is the maximum current 2.40 A?
In a purely inductive AC circuit as shown in the figure, ΔVmax = 100 V.
A square circuit is shown. On its left side is an AC source of voltage ΔVmax sin(2?ft). On the right side of the loop is an inductor of inductance L.
(a) The maximum current is 6.80 A at 42.0 Hz. Calculate the inductance L.
mH
(b) At what angular frequency ? is the maximum current 3.10 A?
rad/s
Chapter 32 Solutions
Physics for Scientists and Engineers
Ch. 32.2 - Consider the voltage phasor in Figure 32.4, shown...Ch. 32.3 - Consider the AC circuit in Figure 32.8. The...Ch. 32.4 - Consider the AC circuit in Figure 32.11. The...Ch. 32.4 - Consider the AC circuit in Figure 32.12. The...Ch. 32.5 - Label each part of Figure 32.16, (a), (b), and...Ch. 32.6 - An AC source drives an RLC circuit with a fixed...Ch. 32.7 - What is the impedance of a series RLC circuit at...Ch. 32 - (a) What is the resistance of a lightbulb that...Ch. 32 - A certain lightbulb is rated at 60.0 W when...Ch. 32 - The current in the circuit shown in Figure P32.3...
Ch. 32 - Figure P32.4 shows three lightbulbs connected to a...Ch. 32 - In the AC circuit shown in Figure P32.3, R = 70.0 ...Ch. 32 - In a purely inductive AC circuit as shown in...Ch. 32 - Prob. 7PCh. 32 - A 20.0-mH inductor is connected to a North...Ch. 32 - An AC source has an output rms voltage of 78.0 V...Ch. 32 - Review. Determine the maximum magnetic flux...Ch. 32 - A 1.00-mF capacitor is connected to a North...Ch. 32 - An AC source with an output rms voltage of 86.0 V...Ch. 32 - What is the maximum current in a 2.20-F capacitor...Ch. 32 - A capacitor C is connected to a power supply that...Ch. 32 - In addition to phasor diagrams showing voltages...Ch. 32 - An AC source with Vmax = 150 V and f = 50.0 Hz is...Ch. 32 - You are working in a factory and have been tasked...Ch. 32 - Prob. 18PCh. 32 - An RLC circuit consists of a 150- resistor, a...Ch. 32 - A 60.0-ft resistor is connected in series with a...Ch. 32 - A series RLC circuit has a resistance of 45.0 and...Ch. 32 - Prob. 22PCh. 32 - A series RLC circuit has a resistance of 22.0 and...Ch. 32 - An AC voltage of the form v = 90.0 sin 350t, where...Ch. 32 - The LC circuit of a radar transmitter oscillates...Ch. 32 - A series RLC circuit has components with the...Ch. 32 - You wish to build a series RLC circuit for a...Ch. 32 - A 10.0- resistor, 10.0-mH inductor, and 100-F...Ch. 32 - A resistor R, inductor L, and capacitor C are...Ch. 32 - The primary coil of a transformer has N1 = 350...Ch. 32 - A person is working near the secondary of a...Ch. 32 - A transmission line that has a resistance per unit...Ch. 32 - Prob. 33APCh. 32 - A 400- resistor, an inductor, and a capacitor are...Ch. 32 - Energy is to be transmitted over a pair of copper...Ch. 32 - Energy is to be transmitted over a pair of copper...Ch. 32 - A transformer may be used to provide maximum power...Ch. 32 - Show that the rms value for the sawtooth voltage...Ch. 32 - Marie Cornu, a physicist at the Polytechnic...Ch. 32 - A series RLC circuit has resonance angular...Ch. 32 - Review. One insulated conductor from a household...Ch. 32 - (a) Sketch a graph of the phase angle for an RLC...Ch. 32 - Prob. 43APCh. 32 - Review. In the circuit shown in Figure P32.44,...Ch. 32 - You have decided to build your own speaker system...Ch. 32 - A series RLC circuit is operating at 2.00 103 Hz....Ch. 32 - You are trying to become a member of the Physics...Ch. 32 - A series RLC circuit in which R = l.00 , L = 1.00...Ch. 32 - The resistor in Figure P32.49 represents the...Ch. 32 - An 80.0- resistor and a 200-mH inductor are...Ch. 32 - Prob. 51CP
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- Problems 71 and 72 paired. Figure P33.71 shows a series RLC circuit with a 25.0- resistor, a 430.0-mH inductor, and a 24.0-F capacitor connected to an AC source with Vmax = 60.0 V operating at 60.0 Hz. What is the maximum voltage across the a. resistor, b. inductor, and c. capacitor in the circuit? FIGURE P33.71 Problems 71 and 72.arrow_forwardIn the LC circuit in Figure 33.11, the inductance is L = 19.8 mH and the capacitance is C = 19.6 mF. At some moment, UB = UE= 17.5 mJ. a. What is the maximum charge stored by the capacitor? b. What is the maximum current in the circuit? c. At t = 0, the capacitor is fully charged. Write an expression for the charge stored by the capacitor as a function of lime. d. Write an expression for the current as a function of time.arrow_forwardSuppose a 0.55 mH inductor is connected to a 37.5 μF capacitor. Find the resonant frequency, in hertz. The simple AC circuit shown on the right has resistance R = 47.5 Ω and impedance Z = 165 Ω. The rms voltage of the power supply is ΔVrms = 196 V. (a) Express the rms current, Irms, in terms of ΔVrms and Z. (b) Calculate the numerical value of Irms in amps. (c) Express the average power dissipated in the circuit, Pavg, in terms of Irms and R. (d) Calculate the value of Pavg, in watts.arrow_forward
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