Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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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.
A generator has a 460-turn coil that is 10 cm long and 12 cm wide. The coil rotates at 9.0 rotations per second in a 0.10-T magnitude B→ field.
A)Determine the generator's peak voltage.
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?
Chapter 31 Solutions
Physics for Scientists and Engineers with Modern Physics
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 - Prob. 3PCh. 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 - Prob. 12PCh. 31 - Prob. 13PCh. 31 - You are working as a demonstration assistant for a...Ch. 31 - Prob. 15PCh. 31 - Prob. 16PCh. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Prob. 22PCh. 31 - Prob. 23PCh. 31 - Prob. 24PCh. 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 - Prob. 31PCh. 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 - Prob. 36APCh. 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 - Prob. 42APCh. 31 - Prob. 43APCh. 31 - Prob. 44APCh. 31 - Prob. 45APCh. 31 - At t = 0, the open switch in Figure P31.46 is...Ch. 31 - Prob. 47APCh. 31 - Prob. 48APCh. 31 - Prob. 49APCh. 31 - Prob. 50CPCh. 31 - Prob. 51CPCh. 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_forwardA 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?arrow_forward
- The 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_forwardConsult Multiple-Concept Example 11 for background material relating to this problem. A small rubber wheel on the shaft of a bicycle generator presses against the bike tire and turns the coil of the generator at an angular speed that is 45 times as great as the angular speed of the tire itself. Each tire has a radius of 0.326 m. The coil consists of 167 turns, has an area of 4.82 x 10-³ m², and rotates in a 0.0889-T magnetic field. The bicycle starts from rest and has an acceleration of +0.658 m/s². What is the peak emf produced by the generator at the end of 6.02 s? Number Unitsarrow_forwardAn AC generator has 80 rectangular loops on its armature. Each loop is 15 cm long and 9 cm wide. The armature rotates at 1200 rpm about an axis parallel to the long side. If the loop rotates in a uniform magnetic field of 0.8 T, which is perpendicular to the axis of rotation, what will be the maximum output voltage of this generator?arrow_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_forwardAn induction stove heats a pot with a coil carrying an alternating current located beneath the pot (and without a hot surface).Can the stove surface be a conductor? Why won’t a coil carrying a direct current work?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_forward
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