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 6Q
(a)
To determine
The emf of the battery affect the time needed for the
(b)
To determine
The emf of the battery affect the time needed for the
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How long would it take, following the removal of the battery, for the potential difference across the resistor in an RL circuit (with L = 2.00 H, R = 3.00 ohm) to decay to 10.0% of its initial value?
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?
A square loop of side 10 cm and resistance 0.5 Ω is placed vertically in the east-west plane. A uniform magnetic field of 0.10 T is set up across the plane in the north-east direction. The magnetic field is decreased to zero in 0.70 s at a steady rate. Determine the magnitudes of induced emf and current 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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- 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_forwardIn an oscillating RLC circuit with L = 10 mH, C = 1.5 F , and R = 2.0 , how much time elapses before the amplitude of the oscillations drops to half its initial value?arrow_forwardDoes the time required for the current in an RL circuit to reach any fraction of its steady-state value depend on the emf of the battery?arrow_forward
- How many turns of wire are needed to produce an inductance of 100 mH if the length of the coil is 30 cm, the diameter is 5.3 cm and the cavity is filled with air. If ?0 = magnetic permeability = 4π × 10^-7 T m/Aarrow_forwardA square loop of side length a is rotating with angular fre-quency ω in a constant, uniform magnetic flux density ˆa_z B_0. The loop rotates right hand rule-wise around the y axis. Make a plot of the emf in the loop vs. time, assuming that the loop is in the xy plane at t= 0.Include axis labels with values.arrow_forwardSwitch S is closed at time t =0, initiating the buildup of current in the 15.0 mH inductor and the 20.0 ohmresistor. At what time is the emf across the inductor equal to the potential difference across the resistor?arrow_forward
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