Problem 31.1DQ: Household electric power in most of western Europe is supplied at 240 V, rather than the 120 V that... Problem 31.2DQ: The current in an ac power line changes direction 120 times per second, and its average value is... Problem 31.3DQ: In an ac circuit, why is the average power for an inductor and a capacitor zero, but not for a... Problem 31.4DQ: Equation (31.14) was derived by using the relationship i = dq/dt between the current and the charge... Problem 31.5DQ Problem 31.6DQ: Equation (31.9) says that ab = L di/dt (see Fig. 31.8a). Using Faradays law, explain why point a is... Problem 31.7DQ: Is it possible for the power factor of an L-R-C series circuit to be zero? Justify your answer on... Problem 31.8DQ: In an L-R-C series circuit, can the instantaneous voltage across the capacitor exceed the source... Problem 31.9DQ: In an L-R-C series circuit, what are the phase angle and power factor cos when the resistance is... Problem 31.10DQ: When an L-R-C series circuit is connected across a 120-V ac line, the voltage rating of the... Problem 31.11DQ Problem 31.12DQ: A light bulb and a parallel-plate capacitor with air between the plates are connected in series to... Problem 31.13DQ: A coil of wire wrapped on a hollow tube and a light bulb are connected in series to an ac source.... Problem 31.14DQ: A circuit consists of a light bulb, a capacitor, and an inductor connected in series to an ac... Problem 31.15DQ: A circuit consists of a light bulb, a capacitor, and an inductor connected in series to an ac... Problem 31.16DQ Problem 31.17DQ: An ideal transformer has N1, windings in the primary and N2 windings in its secondary. If you double... Problem 31.18DQ: An inductor, a capacitor, and a resistor are all connected in series across an ac source. If the... Problem 31.19DQ: You want to double the resonance angular frequency of an L-R-C series circuit by changing only the... Problem 31.1E Problem 31.2E: A sinusoidal current i = I cos t has an rms value Irms = 2.10 A. (a) What is the current amplitude?... Problem 31.3E: The voltage across the terminals of an ac power supply varies with time according to Eq. (31.1). The... Problem 31.4E: A capacitor is connected across an ac source that has voltage amplitude 60.0 V and frequency 80.0... Problem 31.5E: An inductor with L = 9.50 mH is connected across an ac source that has voltage amplitude 45.0 V. (a)... Problem 31.6E: A capacitance C and an inductance L are operated at the same angular frequency, (a) At what angular... Problem 31.7E: Kitchen Capacitance. The wiring for a refrigerator contains a starter capacitor. A voltage of... Problem 31.8E: (a) Compute the reactance of a 0.450-H inductor at frequencies of 60.0 Hz and 600 Hz. (b) Compute... Problem 31.9E: (a) What is the reactance of a 3.00-H inductor at a frequency of 80.0 Hz? (b) What is the inductance... Problem 31.10E: A Radio Inductor. You want the current amplitude through a 0.450-mH inductor (part of the circuitry... Problem 31.11E: A 0.180-H inductor is connected in series with a 90.0- resistor and an ac source. The voltage across... Problem 31.12E: A 250- resistor is connected in series with a 4.80-F capacitor and an ac source. The voltage across... Problem 31.13E: A 150- resistor is connected in series with a 0.250-H inductor and an ac source. The voltage across... Problem 31.14E: You have a 200- resistor, a 0.400-H inductor, and a 6.00-F capacitor. Suppose you take the resistor... Problem 31.15E: The resistor, inductor, capacitor, and voltage source described in Exercise 31.14 are connected to... Problem 31.16E Problem 31.17E: In an L-R-C series circuit, the rms voltage across the resistor is 30.0 V, across the capacitor it... Problem 31.18E: A resistor with R = 300 and an inductor are connected in series across an ac source that has... Problem 31.19E: The power of a certain CD player operating at 120 V rms is 20.0 W. Assuming that the CD player... Problem 31.20E: In an L-R-C series circuit, the components have the following values: L = 20.0 mH, C = 140 nF, and R... Problem 31.21E: (a) Show that for an L-R-C series circuit the power factor is equal to R/Z. (b) An L-R-C series... Problem 31.22E: (a) Use the results of part (a) of Exercise 31.21 to show that the average power delivered by the... Problem 31.23E: An L-R-C series circuit with L = 0.120 H, R = 240 , and C = 7.30 F carries an rms current of 0.450 A... Problem 31.24E: An L-R-C series circuit is connected to a 120-Hz ac source that has Vrms = 80.0 V. The circuit has a... Problem 31.25E: A series ac circuit contains a 250- resistor, a 15-mH inductor, a 3.5-F capacitor, and an ac power... Problem 31.26E: In an L-R-C series circuit the source is operated at its resonant angular frequency. At this... Problem 31.27E: Analyzing an L-R-C Circuit. You have a 200- resistor, a 0.400-H inductor, a 5.00-F capacitor, and a... Problem 31.28E: An L-R-C series circuit is constructed using a 175- resistor, a 12.5-F capacitor, and an 8.00-mH... Problem 31.29E: In an L-R-C series circuit, R = 300, L = 0.400 H, and C = 6.00 108 F. When the ac source operates... Problem 31.30E: An L-R-C series circuit consists of a source with voltage amplitude 120 V and angular frequency 50.0... Problem 31.31E: In an L-R-C series circuit, R = 150 , L = 0.750 H, and C = 0.0180 F. The source has voltage... Problem 31.32E: In an L-R-C series circuit, R = 400 , L = 0.350 H, and C = 0.0120 F. (a) What is the resonance... Problem 31.33E: In an L-R-C series circuit, L = 0.280 H and C = 4.00 F. The voltage amplitude of the source is 120... Problem 31.34E: Section 31.6 Transformers 31.34Off to Europe! You plan to take your hair dryer to Europe, where the... Problem 31.35E: A Step-Down Transformer. A transformer connected to a 120 V (rms) ac line is to supply 12.0 V (rms)... Problem 31.36E: A Step-Up Transformer. A transformer connected to a 120-V (rms) ac line is to supply 13,000 V (rms)... Problem 31.37P: A coil has a resistance of 48.0 . At a frequency of 80.0 Hz the voltage across the coil leads the... Problem 31.38P Problem 31.39P: An L-R-C series circuit has C = 4.80 F, L = 0.520 H, and source voltage amplitude V = 56.0 V. The... Problem 31.40P: Five infinite-impedance voltmeters, calibrated to read rms values, are connected as shown in Fig.... Problem 31.41P: CP A parallel-plate capacitor having square plates 4.50 cm on each side and 8.00 mm apart is placed... Problem 31.42P Problem 31.43P: A series circuit has an impedance of 60.0 and a power factor of 0.720 at 50.0 Hz. The source... Problem 31.44P: A large electromagnetic coil is connected to a 120-Hz ac source. The coil has resistance 400 , and... Problem 31.45P: In an L-R-C series circuit, R = 300 , XC = 300 , and XL = 500 . The average electrical power... Problem 31.46P: At a frequency 1, the reactance of a certain capacitor equals that of a certain inductor, (a) If the... Problem 31.47P: A High-Pass Filter. One application of L-R-C series circuits is to high-pass or low-pass filters,... Problem 31.48P: A Low-Pass Filter. Figure P31.48 shows a low-pass filter (see Problem 31.47); the output voltage is... Problem 31.49P: An L-R-C series circuit is connected to an ac source of constant voltage amplitude V and variable... Problem 31.50P: An L-R-C series circuit is connected to an ac source of constant voltage amplitude V and variable... Problem 31.51P: In an L-R-C series circuit the magnitude of the phase angle is 54.0, with the source voltage lagging... Problem 31.52P: In an L-R-C series circuit, the phase angle is 40.0, with the source voltage leading the current.... Problem 31.53P: An L-R-C series circuit has R = 500 . L = 2.00 H, C = 0.500 F, and V = 100 V. (a) For to = 800... Problem 31.54P: The L-R-C Parallel Circuit. A resistor, an inductor, and a capacitor are connected in parallel to an... Problem 31.55P: The impedance of an L-R-C parallel circuit was derived in Problem 31.54. (a) Show that at the... Problem 31.56P: A 400- resistor and a 6.00-F capacitor are connected in parallel to an ac generator that supplies an... Problem 31.57P: An L-R-C series circuit consists of a 2.50-F capacitor, a 5.00-mH inductor, and a 75.0- resistor... Problem 31.58P: An L-R-C series circuit has R = 60.0 , L = 0.800 H, and C = 3.00 104 F. The ac source has voltage... Problem 31.59P: In an L-R-C series circuit, the source has a voltage amplitude of 120 V, R = 80.0 , and the... Problem 31.60P: In an L-R-C series ac circuit, the source has a voltage amplitude of 240 V, R = 90.0 , and the... Problem 31.61P: A resistance R, capacitance C, and inductance L are connected in series to a voltage source with... Problem 31.62P: The Resonance Width. Consider an L-R-C series circuit with a 1.80-H inductor, a 0.900-F capacitor,... Problem 31.63P: An L-R-C series circuit draws 220 W from a 120-V (rms), 50.0-Hz, ac line. The power factor is 0.560,... Problem 31.64P: DATA A coworker of yours was making measurements of a large solenoid that is connected to an ac... Problem 31.65P: DATA You are analyzing an ac circuit that contains a solenoid and a capacitor in series with an ac... Problem 31.66P: DATA You are given this table of data recorded for a circuit that has a resistor, an inductor with... Problem 31.67CP: CALC In an L-R-C series circuit the current is given by i = Icos t. The voltage amplitudes for the... Problem 31.68CP: CALC (a) At what angular frequency is the voltage amplitude across the resistor in an L-R-C series... Problem 31.69PP Problem 31.70PP: If the electrode oscillates between two points 20 m apart at a frequency of (5000/)HZ, what is the... Problem 31.71PP: The signal from the oscillating electrode is fed into an amplifier, which reports the measured... Problem 31.72PP: If the frequency at which the electrode is oscillated is increased to a very large value, the... format_list_bulleted