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 37AP
A transformer may be used to provide maximum power transfer between two AC circuits that have different impedances Z1 and Z2. This process is called impedance matching. (a) Show that the ratio of turns N1/N2 for this transformer is
(b) Suppose you want to use a transformer as an impedance-matching device between an audio amplifier that has an output impedance of 8.00 kΩ and a speaker that has an input impedance of 8.00 Ω. What should your N1/N2 ratio be?
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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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- 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 a purely inductive AC circuit as shown in Figure P21.15, Vmax = 100. V. (a) The maximum current is 7.50 A at 50.0 Hz. Calculate the inductance L. (b) At what angular frequency is the maximum current 2.50A? Figure p21.15arrow_forwardAn AC generator with an rms emf of 15.0 V is connected in series with a 0.54-H inductor. The frequency of the source emf is 70.0 Hz. Draw a phasor diagram for this circuit, including the current, the potential difference across the inductor, and the source emf. Draw your diagram with the current phasor pointing toward the right along the horizontal axis.arrow_forward
- In a purely inductive AC circuit as shown in Figure P32.6, Vmax = 100 V. (a) The maximum current is 7.50 A at 50.0 Hz. Calculate the inductance L. (b) What If? At what angular frequency is the maximum current 2.50 A? Figure P32.6 Problem 6 and 7.arrow_forwardProblems 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 transformer shown in Figure P33.51, the load resistance RL is 50.0 . The turns ratio N1/N2 is 2.50, anti the rms source voltage is Vs = 80.0 V. If a voltmeter across the load resistance measures an rms voltage of 25.0 V, what is the source resistance Rs?arrow_forward
- Review. The voltage phasor diagram for a certain series RLC circuit is shown in Figure P33.59. The resistance of the circuit is 75.0 , and the frequency is 60.0 Hz. Find (a) the maximum voltage Vmax, (b) the phase angle , (c) the maximum current, (d) the impedance, (e) the capacitance and (f) the inductance of the circuit, and (g) the average power delivered to the circuit.arrow_forwardAn 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.arrow_forwardIn a series RLC circuit with a maximum current of 0.250 A, an AC source with Vmax= 115 V operating at 60.0 Hz is connected to a 325-mH inductor, a 7.50-F capacitor, and a resistor with unknown resistance R. Draw a phasor diagram for this circuit, including the current, the potential difference across each of the circuit elements, and the source emf. Draw your diagram with the current phasor pointing upward along the vertical axis.arrow_forward
- 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_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_forwardDo Kirchhoff’s rules apply to circuits that contain inductors and Capacitors?arrow_forward
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