Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 31.4, Problem 31.4QQ
To determine
The effect on the mutual inductance of the two coils.
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As shown, coil 1 is moved closer to coil 2, with the orientation of both coils remaining fixed. Because of this movement, the mutual induction of the two coils (a) increases, (b) decreases, or (c) is unaffected.
The bolt of lightning depicted in the figure passes 200 m from a 90 turn coil oriented as shown. If the current in the lightning bolt falls from 7.00x106 A to zero in 9.9 μs, (b) what is the average voltage induced in the coil?
A circular coil with N1=5000 turns is made of a conducting material with resistance 0.0100 Ω/m and radius a=40.0cm. The coil is attached to a C=10.00μFC capacitor as shown in (Figure 1). A second coil with radius b=4.00cm, made of the same wire, with N2=100 turns, is concentric with the first coil and parallel to it. The capacitor has a charge of +100 μC on its upper plate, and the switch S is open. At time t=0 the switch is closed.
(d) What is the direction of the current in the smaller coil at t = 1.26 msms?
(e) What is the magnitude of the current in the smaller coil at t = 1.26 ms?
Chapter 31 Solutions
Physics for Scientists and Engineers
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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- Show that Equation 32.28 in the text Ls Kirchhoffs loop rule as applied to the circuit in Figure P32.56 with the switch thrown to position b.arrow_forwardA toroidal coil has a mean radius of 16 cm and a cross-sectional area of 0.25 cm2; it is wound uniformly with 1000 turns. A second toroidal coil of 750 turns is wound uniformly over the first coil. Ignoring the variation of the magnetic field within a toroid, determine the mutual inductance of the two coils.arrow_forwardIn Figure P20.65 the rolling axle of length 1.50 m is pushed along horizontal rails at a constant speed v = 3.00 m/s. A resist or R = 0.400 is connected to the rails at points a and b, directly opposite each other. (The wheels make good electrical contact with the rails, so the axle, rails, and R form a closed-loop circuit. The only significant resistance in the circuit is R.) A uniform magnetic field B = 0.800 T is directed vertically downward. (a) Find the induced current I in the resistor. (b) What horizontal force F is required to keep the axle rolling at constant speed? (c) Which end of the resistor, a or b. is at the higher electric potential? (d) Alter the axle rolls past the resistor, does the current in R reverse direction? Explain your answer. Figure P20.65arrow_forward
- Figure CQ20.7 shows a slidewire generator with motional cmf 0 when the wire at A slides across the top and bottom rails at constant velocity v0. (a) When the wire reaches B so that the area enclosed by the circuit is doubled, determine the ratio of the new cmf to the original cmf, /0. (b) If the wire's speed is doubled so that v = 2v0 determine the ratio /0. Figure CQ20.7arrow_forwardA flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of strength 0.050 T. If tlie maximum emf produced in die coil is 30.0 mV, what is the angular velocity of the coil?arrow_forwardThe bolt of lightning depicted in the figure below passes 200 m from a 105-turn coil oriented as shown. If the current in the lightning bolt falls from 6.01 ✕ 106 A to zero in 10.9 μs, what is the average voltage induced in the coil? Assume the distance to the center of the coil determines the average magnetic field at the coil's position. Treat the lightning bolt as a long, vertical wire. µ0 = 4π x 10-7 Tm/Aarrow_forward
- Question 3: Induction (a) The rod shown below moves to the right on essentially zero-resistance rails at a speed of v = 3.0m/s. If B = 0.75T everywhere in the region, what is the current through the 5.02 resistor? 5.0 Ω 4.0 cm A circular loop of wire of radius 10 cm is mounted on a vertical shaft and rotated at a frequency ofw = 50 RPM in a region of uniform magnetic field of B= 200mT perpendicular to the axis of rotation. (b) Find an expression for the time-dependent flux, (t), through the ring. (c) Determine the time- dependent current, 1(t), through the ring if it has a resistance of 10 0. (1)arrow_forwardQuestion 3: Induction (a) The accompanying figure shows a single-turn rectangular coil that has a resistance of 2.0/2. The magnetic field at all points inside the coil varies according to B = Boe-at, where Bo = 0.25T and a = 200Hz. What is the current induced in the coil at (a) t = 0.001s, (b) 0.002 s, (c) 2.0 s? x x x x x X X 5.0 cm X x x X x x X X x B x 2.0 cm X (b) How would the answers to the preceding problem change if the coil consisted of 20 closely spaced turns? Note that the resistance would increase by 2.00 per coil as well.arrow_forwardIn a coil with an inductance of 5 mi, the current changes in 0.1 ms by 0.2 A. How much self-induction electromotive force is generated in the coil?arrow_forward
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