Physics for Scientists and Engineers, Volume 2
10th Edition
ISBN: 9781337553582
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 31, Problem 7P
To determine
The expression of self induced emf as a function of time.
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A 10.0-mH inductor carries a current /=/max sin wt, with Imax = 5.00 A and f = w/2π = 60.0 Hz.
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Chapter 31 Solutions
Physics for Scientists and Engineers, Volume 2
Ch. 31.1 - A coil with zero resistance has its ends labeled a...Ch. 31.2 - Prob. 31.2QQCh. 31.3 - Prob. 31.3QQCh. 31.4 - Prob. 31.4QQCh. 31.5 - (i) At an instant of time during the oscillations...Ch. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - An emf of 24.0 mV Ls induced in a 500-turn coil...Ch. 31 - Prob. 4PCh. 31 - Prob. 5P
Ch. 31 - A toroid has a major radius R and a minor radius r...Ch. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10PCh. 31 - Prob. 11PCh. 31 - Show that i = Iiet/ is a solution of the...Ch. 31 - Prob. 13PCh. 31 - You are working as a demonstration assistant for a...Ch. 31 - Prob. 15PCh. 31 - The switch in Figure P31.15 is open for t 0 and...Ch. 31 - Prob. 17PCh. 31 - Two ideal inductors, L1 and L2, have zero internal...Ch. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Complete the calculation in Example 31.3 by...Ch. 31 - Prob. 23PCh. 31 - A flat coil of wire has an inductance of 40.0 mH...Ch. 31 - Prob. 25PCh. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - In the circuit of Figure P31.29, the battery emf...Ch. 31 - Prob. 30PCh. 31 - An LC circuit consists of a 20.0-mH inductor and a...Ch. 31 - Prob. 32PCh. 31 - In Figure 31.15, let R = 7.60 , L = 2.20 mH, and C...Ch. 31 - Prob. 34PCh. 31 - Electrical oscillations are initiated in a series...Ch. 31 - Review. Consider a capacitor with vacuum between...Ch. 31 - A capacitor in a series LC circuit has an initial...Ch. 31 - Prob. 38APCh. 31 - Prob. 39APCh. 31 - At the moment t = 0, a 24.0-V battery is connected...Ch. 31 - Prob. 41APCh. 31 - You are working on an LC circuit for an experiment...Ch. 31 - Prob. 43APCh. 31 - Prob. 44APCh. 31 - Prob. 45APCh. 31 - At t = 0, the open switch in Figure P31.46 is...Ch. 31 - Review. The use of superconductors has been...Ch. 31 - Review. A fundamental property of a type 1...Ch. 31 - Prob. 49APCh. 31 - In earlier times when many households received...Ch. 31 - Assume the magnitude of the magnetic field outside...Ch. 31 - Prob. 52CPCh. 31 - Prob. 53CP
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- The current I(t) through a 5.0-mH inductor varies with time, as shown below. The resistance of the inductor is 5.0 . Calculate the voltage across the inductor at t = 2.0 ms, r = 4.0 ms, and t = 8.0 ms.arrow_forwardA coil with a self-inductance of 3.0 H carries a current that decreases at a uniform rate dl/dt = -0.050 A/s. What is the emf induced in the coil? Describe the polarity of the induced emf.arrow_forward(a) Calculate the self-inductance of a 50.0 cm long, 10.0 cm diameter solenoid having 1000 loops. (b) How much energy is stored in this inductor when 20.0 A of current flows through it? (c) How fast can it be turned off if the induced emf cannot exceed 3.00 V?arrow_forward
- (i) When a particular inductor is connected to a source of sinusoidally varying emf with constant amplitude and a frequency of 60.0 Hz, the rms current is 3.00 A. What is the rms current if the source frequency is doubled? (a) 12.0 A (b) 6.00 A (c) 4.24 A (d) 3.00 A (e) 1.50 A (ii) Repeat part (i) assuming the load is a capacitor instead of an inductor. (iii) Repeat part (i) assuming the load is a resistor instead of an inductor.arrow_forwardA coil with a self-inductance of 2.0 H carries a current that varies with time according to I(t) = (2.0 A)sin 120t . Find an expression for the emf induced in the coil.arrow_forwardA 75-turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 radius in a 1.25 T field, starting with the plane of the coil parallel to the field. (a) What is the peak emf? (b) At what time is the peak emf first reached? (c) At what time is the emf first at its meet negative? (d) What is the period of the AC voltage output?arrow_forward
- Remove the inductor from the circuit in the figure and set R = 216 Q, C = 18.6 µF, fd = 60.0 Hz, and &m = 36.0 V. What are (a) Z, (b) , and (c) I? 90 R L 000 (a) Number Units (b) Number Units (c) Number Unitsarrow_forwardThe time variation of the current in a 3H inductor is given by I=5+7t-7t^2, with I in amperes and t in sec. For what values is is the emf induced in inductor 0?arrow_forwardAn inductor has a current I(t) = (0.480 A) cos[(260 s-1)t] flowing through it. If the maximum emf %3D across the inductor is equal to 0.530 V, what is the self-inductance of the inductor, in mH? A 110-V hair dryer is rated at 1200 W. What current will it draw when operating from a 110-V electrical outlet? A small glass bead has been charged to 4.5 nC. What is the magnitude of the electric field 2.0 cm from the center of the bead? (k = 1/4nE 0 = 8.99 x 10° N. m2/C2) %3Darrow_forward
- A resistor with R = 30.0 Ω and an inductor with L = 0.600 Hare connected in series to a battery that has emf 50.0 V and negligibleinternal resistance. At time t after the circuit is completed, the energystored in the inductor is 0.400 J. At this instant, what is the voltageacross the inductor?arrow_forwardThe figure below shows a circuit with a battery of EMF = 3.75 V, a resistor with R = 2.162, and an inductor with L = 2.45 H. If the battery is connected at t = 0, at what time will the rate of energy stored in the inductor be equal to x = 1.89 times the power dissipated in the resistor? i S Rarrow_forwardThe current flowing through a circuit is changing at a rate of 6.00 A/s. If the circuit contains a 190.0 H inductor, what is the emf across the inductor?arrow_forward
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