Physics for Scientists and Engineers, Vol 1 (Chapters 1-20)
4th Edition
ISBN: 9780132273589
Author: Doug Giancoli, Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 30, Problem 8Q
To determine
The emf in the inductor has its maximum value even though the current is zero at the instant the battery is connected into the
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30.29 In Fig. 30.11, switch S1 is closed while switch S2 is kept open. The inductance is L = 0.380 H, the resistance is 48 Ohms, and the emf of the battery is 18 V. At time t after S1 is closed, the current in the circuit is increasing at a rate of di/dt = 7.2 A/s. At this instant, what is Vab, the voltage across the resistor?
(II) At t=0 the current through a 45.0-mH inductor is50.0 mA and is increasing at the rate of 115 mA/s? What isthe initial energy stored in the inductor, and how long doesit take for the energy to increase by a factor of 5.0 from theinitial value?
A 2.00-H indductor carries a steady current of 0.500A. When the switch in the circuit is opened,the current is effectively zero after 10.0ms. What is the average induced emf in the inductor during this time interval?
Chapter 30 Solutions
Physics for Scientists and Engineers, Vol 1 (Chapters 1-20)
Ch. 30.1 - Prob. 1AECh. 30.1 - Prob. 1BECh. 30.3 - Prob. 1CECh. 30.4 - Show that L/R does have dimensions of lime. (See...Ch. 30.4 - Prob. 1EECh. 30.5 - Return to the Chapter-Opening Question, page 785,...Ch. 30.7 - At what frequency is the reactance of a 1.0-F...Ch. 30.7 - Prob. 1HECh. 30 - Prob. 1QCh. 30 - Prob. 2Q
Ch. 30 - Prob. 3QCh. 30 - Prob. 4QCh. 30 - If you are given a fixed length of wire, how would...Ch. 30 - Prob. 6QCh. 30 - Prob. 7QCh. 30 - Prob. 8QCh. 30 - What keeps an LC circuit oscillating even after...Ch. 30 - Is the ac current in the indicator always the same...Ch. 30 - Prob. 11QCh. 30 - In an ac LRC circuit, if XL XC, the circuit is...Ch. 30 - Prob. 13QCh. 30 - Under what conditions is the impedance in an LRC...Ch. 30 - Is it possible for the instantaneous power output...Ch. 30 - In an ac LRC circuit, does the power factor, cos,...Ch. 30 - Describe briefly how the frequency of the source...Ch. 30 - Prob. 18QCh. 30 - In an LRC circuit, the current and the voltage in...Ch. 30 - Compare the oscillations or an LRC circuit to the...Ch. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Prob. 4PCh. 30 - (I) If the current in a 280-mH coil changes...Ch. 30 - Prob. 6PCh. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - (II) If the outer conductor of a coaxial cable has...Ch. 30 - Prob. 11PCh. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - (II) Ignoring any mutual inductance, what is the...Ch. 30 - (I) The magnetic field inside an air-filled...Ch. 30 - (I) Typical large values for electric and magnetic...Ch. 30 - (II) What is the energy density at the center of a...Ch. 30 - (II) Calculate the magnetic and electric energy...Ch. 30 - Prob. 19PCh. 30 - (II) Determine the total energy stored per unit...Ch. 30 - (II) Determine the total energy stored per unit...Ch. 30 - Prob. 22PCh. 30 - (II) How many time constants does it take for the...Ch. 30 - (II) It takes 2.56 ms for the current in an LR...Ch. 30 - Prob. 25PCh. 30 - (II) In the circuit of Fig. 3027, determine the...Ch. 30 - Prob. 27PCh. 30 - Prob. 28PCh. 30 - (II) A 12-V battery has been connected to an LR...Ch. 30 - Prob. 30PCh. 30 - (I) The variable capacitor in the tuner of an AM...Ch. 30 - Prob. 32PCh. 30 - (II) In some experiments, short distances are...Ch. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - (I) At what frequency will a 32.0-mH inductor have...Ch. 30 - (I) What is the reactance of a 9.2-F capacitor at...Ch. 30 - (I) Plot a graph of the reactance of a 1.0-F...Ch. 30 - (I) Calculate the reactance of, and rms current...Ch. 30 - (II) A resistor R is in parallel with a capacitor...Ch. 30 - Prob. 44PCh. 30 - (II) (a) What is the reactance of a 0.086-F...Ch. 30 - Prob. 46PCh. 30 - (II) A current I = 1.80 cos 377t (I in amps, t in...Ch. 30 - (I) A 10.0-k resistor is in series with a 26.0-mH...Ch. 30 - (I) A 75- resistor and a 6.8-F capacitor are...Ch. 30 - (I) For a 120-V, 60-Hz voltage, a current of 70 mA...Ch. 30 - (II) A 2.5-k resistor in series with a 420-mH...Ch. 30 - (II) (a) What is the rms current in a series RC...Ch. 30 - (II) An ac voltage source is connected in series...Ch. 30 - (II) Determine the total impedance, phase angle,...Ch. 30 - (II) (a) What is the rms current in a series LR...Ch. 30 - (II) A 35-mH inductor with 2.0- resistance is...Ch. 30 - (II) A 25-mH coil whose resistance is 0.80 is...Ch. 30 - (II) A 75-W lightbulb is designed to operate with...Ch. 30 - (II) In the LRC circuit or Fig. 3019, suppose I =...Ch. 30 - (II) An LRC series circuit with R = 150 , L = 25...Ch. 30 - (II) An LR circuit can be used as a phase shifter....Ch. 30 - (I) A 3800-pF capacitor is connected in series to...Ch. 30 - (I) What is the resonant frequency of the LRC...Ch. 30 - (II) An LRC circuit has L = 4.15 mH and R = 3.80...Ch. 30 - (II) The frequency of the ac voltage source (peak...Ch. 30 - (II) Capacitors made from piezoelectric materials...Ch. 30 - (II) (a) Determine a formula for the average power...Ch. 30 - (II) (a) Show that oscillation of charge Q on the...Ch. 30 - (II) A resonant circuit using a 220-nF capacitor...Ch. 30 - Prob. 70PCh. 30 - Prob. 71GPCh. 30 - Prob. 72GPCh. 30 - At time t = 0, the switch in the circuit shown in...Ch. 30 - Prob. 74GPCh. 30 - Prob. 75GPCh. 30 - Assuming the Earths magnetic field averages about...Ch. 30 - (a) For an underdamped LRC circuit, determine a...Ch. 30 - An electronic device needs to be protected against...Ch. 30 - Prob. 79GPCh. 30 - Prob. 80GPCh. 30 - An ac voltage source V=V0sin(t+90) is connected...Ch. 30 - A circuit contains two elements, but it is not...Ch. 30 - A 3.5-k resistor in series with a 440-mH inductor...Ch. 30 - (a) What is the rms current in on RC circuit if R...Ch. 30 - An inductance coil draws 2.5 A de when connected...Ch. 30 - The Q-value of a resonance circuit can be defined...Ch. 30 - Show that the fraction of electromagnetic energy...Ch. 30 - In a series LRC circuit, the inductance is 33mH,...Ch. 30 - Prob. 89GPCh. 30 - A voltage V = 0.95 sin 754t is applied to an LRC...Ch. 30 - Filler circuit. Figure 3033 shows a simple filler...Ch. 30 - Show that if the inductor L in the filter circuit...Ch. 30 - A resistor R, capacitor C, and inductor L are...Ch. 30 - Suppose a series LRC circuit has two resisiors, R1...Ch. 30 - Prob. 95GPCh. 30 - Prob. 96GPCh. 30 - You have a small electromagnet that consumes 350 W...Ch. 30 - An inductor L in series with a resistor R, driven...Ch. 30 - In a certain LRC series circuit, when the ac...Ch. 30 - Prob. 100GPCh. 30 - Prob. 101GPCh. 30 - For the circuit shown in Fig. 3038, show that if...Ch. 30 - (II) The RC circuit shown in Fig. 3039 is called a...Ch. 30 - (II) The RC circuit shown in Fig. 3040 is called a...Ch. 30 - (III) Write a computer program or use a...
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- Check Your Understanding How much energy is stored in the inductor of Example 14.2 after the current reaches its maximum value?arrow_forwardIf emf of the battery of Figure 14.12(b) is reduced by a factor of 2, by how much does the steady-state energy stored in the magnetic field of the inductor change?arrow_forwardThe self-inductance of a coil is zero if there is no current passing through the windings. True or false?arrow_forward
- For an LC circuit, show that the total energy stored in the electric and magnetic fields is a constant given by Equation 33.28, Etot=Qmax2/2C=12LImax2.arrow_forwardA 5000-pF capacitor is charged to 100 V and then quickly connected to an 80-mH inductor. Determine (a) the maximum energy stored in the magnetic field of the inductor, (b) the peak value of the current, and (c) the frequency of oscillation of the circuit.arrow_forwardSuppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m, what is the current flowing through a rectangular toroid when the energy in its magnetic field is 2.0 × 10-6 J?arrow_forward
- When the current through a large inductor is interrupted with a switch, an arc appears across the open terminals of the switch. Explain.arrow_forwardSuppose that a rectangular toroid has 2000 windingsand a self-inductance of 0.040 H. If h = 0.10 m , what isthe ratio of its outer radius to its inner radius?arrow_forwardThe current in an inductor decreases linearly from 2 mA to zero in 4 ms. Calculate to find the average emf induced in the inductor if the inductance is 10 mH.arrow_forward
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