Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 30.3, Problem 30.3QQ
Figure 30.12 (Quick Quiz 30.3)
QUICK QUIZ 30.3 Figure 30.12 shows a circular loop of wire falling toward a wire carrying a current to the left. What is the direction of the induced current in the loop of wire? (a) clockwise (b) counterclockwise (c) zero (d) impossible to determine
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Given:
I1 = 6 A
I2 = 4 A
Wire 1 at (0, 4.5) mm
Wire 2 at (6, 0) mm
Point P at (6, 4.5) mm
Questions:
1. Magnitude of magnetic field at point P in teslas?
2. Direction of magnetic field vector as measured in degrees counterclockwise from the +x axis?
3. A wire is moving on frictionless rails in a uniform magnetic field,
as shown to the right. The wire is part of a complete circuit with a
resistance R.
a. If the magnetic field is 0.05 T and the wire is 5 cm long, what
speed is necessary to produce an emf of 2 mV across the ends of
the wire?
b. If the resistance is 20 2, what is the current in the circuit?
Assume that the magnet has a magnetic moment of μ = 0.39 A. m². The magnet is
moving toward the coil that has N = 309 turns and radius r = 9 cm.
a. Find the change in magnetic field of the
magnet when the magnet moves from 1 cm to 6
cm from the center of coil.
AB
[T]
b. What is the induced emf if this change
happens in 0.2 s?
em f
[V]
c. What is the induced current if the resistance of
the coil is R = 902?
i
[A]
d. What is the magnitude of ENC?
ENC
[V/m]
0
Chapter 30 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 30.1 - A circular loop of wire is held in a uniform...Ch. 30.2 - QUICK QUIZ 30.2 In Figure 30.8a, a given applied...Ch. 30.3 - Figure 30.12 (Quick Quiz 30.3) QUICK QUIZ 30.3...Ch. 30.5 - Prob. 30.4QQCh. 30 - A circular loop of wire of radius 12.0 cm is...Ch. 30 - An instrument based on induced emf has been used...Ch. 30 - Scientific work is currently under way to...Ch. 30 - A long solenoid has n = 400 turns per meter and...Ch. 30 - An aluminum ring of radius r1 = 5.00 cm and...Ch. 30 - Prob. 6P
Ch. 30 - A coil formed by wrapping 50 turns of wire in the...Ch. 30 - Prob. 8PCh. 30 - A toroid having a rectangular cross section (a =...Ch. 30 - A small airplane with a wingspan of 14.0 m is...Ch. 30 - A helicopter (Fig. P30.11) has blades of length...Ch. 30 - A 2.00-m length of wire is held in an eastwest...Ch. 30 - A metal rod of mass m slides without friction...Ch. 30 - Prob. 14PCh. 30 - Prob. 15PCh. 30 - Prob. 16PCh. 30 - You are working for a company that manufactures...Ch. 30 - You are working in a laboratory that uses motional...Ch. 30 - You are working in a factory that produces long...Ch. 30 - Prob. 20PCh. 30 - Within the green dashed circle show in Figure...Ch. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Figure P30.24 (page 820) is a graph of the induced...Ch. 30 - The rotating loop in an AC generator is a square...Ch. 30 - In Figure P30.26, a semicircular conductor of...Ch. 30 - Prob. 27PCh. 30 - Prob. 28APCh. 30 - Prob. 29APCh. 30 - Prob. 30APCh. 30 - A circular coil enclosing an area of 100 cm2 is...Ch. 30 - Prob. 32APCh. 30 - A guitars steel string vibrates (see Fig. 30.5)....Ch. 30 - Prob. 34APCh. 30 - A conducting rod of length = 35.0 cm is free to...Ch. 30 - Prob. 36APCh. 30 - Prob. 37APCh. 30 - In Figure P30.38, the rolling axle, 1.50 m long,...Ch. 30 - Figure P30.39 shows a stationary conductor whose...Ch. 30 - Prob. 40APCh. 30 - Figure P30.41 shows a compact, circular coil with...Ch. 30 - Review. In Figure P30.42, a uniform magnetic field...Ch. 30 - An N-turn square coil with side and resistance R...Ch. 30 - A conducting rod of length moves with velocity v...Ch. 30 - A long, straight wire carries a current given by I...Ch. 30 - A rectangular loop of dimensions and w moves with...Ch. 30 - A thin wire = 30.0 cm long is held parallel to...Ch. 30 - Prob. 48CPCh. 30 - Prob. 49CPCh. 30 - Prob. 50CPCh. 30 - Review. The bar of mass m in Figure P30.51 is...
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- Consider the system pictured in Figure P28.26. A 15.0-cm horizontal wire of mass 15.0 g is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. The wire is free to move vertically without friction on the two vertical conductors. When a 5.00-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. (a) What forces act on the horizontal wire, and (b) under what condition is the wire able to move upward at constant velocity? (c) Find the magnitude and direction of the minimum magnetic Field required to move the wire at constant speed. (d) What happens if the magnetic field exceeds this minimum value? Figure P28.26arrow_forward3. a) Define the magnetic flux of a uniform magnetic field. b) Figure 3.1 shows a narrow coil of 15 turns and diameter of 4.2 cm is placed perpendicular to a uniform magnetic field of 0.80 T. After 0.30 s, the diameter of the coil is increased to 5.5 cm i. Calculate the change in the area of the coil. ii. If the coil has a resistance of 2.2 Ω, determine the induced current in the coil.arrow_forward2. A circular wire ring is situated above a long straight wire, as shown in the figure. The straight wire has a current I flowing to the right, and this current is decreasing at a constant rate. Which of the following statements is true? (A) There is an induced current in the wire ring, directed in clockwise orientation. (B) There is an induced current in the wire ring, directed in a counterclockwise orientation. (C) There is no induced current in the wire ring.arrow_forward
- 1. A 1.50 V battery is connected in series with a capacitor and a 275Ω resistor. a. What is the charge and the voltage across the capacitor immediately after the switch is closed? b. At steady state, what will be the potential across the capacitor? 2. A loop of wire in the form of a square 1.50 m on each side, its plane makes an angle of 40.0° with a uniform magnetic field of 0.95 T. What is the magnetic flux through the loop?arrow_forwardSuppose a motorcycle increases the downward componentof the magnetic field within a loop only from 1.2 * 10-5T to1.9 * 10-5T. The detector is square, is 0.75 m on a side, and hasfour loops of wire. Over what period of time must the magneticfield increase if it is to induce an emf of 1.4 * 10-4V?A. 0.028 s B. 0.11 s C. 0.35 s D. 0.60 sarrow_forwardThe diagram shows a rectangular loop of wire moving away (in the direction of the blue arrow) from a long, straight wire carrying a constant current, I, in the direction of the red arrow. Which of the following describes the induced current in the resistor in the rectangular loop? a. There is no induced current flowing through the resistor. b. The induced current in the resistor is directed from B to A. c. The induced current in the resistor is directed from A to B.arrow_forward
- The 17.0 cm long rod in the figure below moves at 4.00 m/s. What is the strength (in T) of the magnetic field if a 8.90 V emf is induced?arrow_forward2. A metal bar with length L, mass m, and resistance R is placed on frictionless metal rails that are inclined at an angle ø above the horizontal. The rails have negligible resistance. A uniform magnetic field of magnitude B is directed downward as shown in the figure. The bar is released from rest and slides down the rails. a. Is the direction of the current induced in the bar from a to b or from b to a? Make sure to explain your answer. b. What is the terminal speed of the bar? c. What is the induced current in the bar when the terminal speed has been reached? d. After the terminal speed has been reached, at what rate is electrical energy being converted to thermal energy in the resistance of the bar? e. After the terminal speed has been reached, at what rate is work being done on the bar by gravity? How does this answer compare to your answer in part (d)?arrow_forwardQUESTION 4 A 5.0-cm-radius conducting loop with a resistance of 4.0 Q is in the presence of a uniform magnetic field of strength 300 µT that is perpendicular to the plane of the loop as shown in the diagram below. The strength of the magnetic field is then decreased to 120 µT in a time of 0.10 s while the direction of the magnetic field remains constant. What current is induced in the conducting loop and what is its direction? B; = 300 µT, Bf = 120 µTA Before: t; = 0.00 s After: tf = 0.15 s 4.0 N Resistor O a. 5.0 µA right-to-left across the resistor O b.1.8 µA left-to-right across the resistor O c. 3.5 µA right-to-left across the resistor O d. 5.0 µA left-to-right across the resistor O e. 3.5 µA left-to-right across the resistorarrow_forward
- 11.. A coil of radius 0.5 m consisting of 1000 loops is placed in a 500 T magnetic field such that the flux is maximum. The field then drops to zero in 10 s. What is the induced potential in the coil?arrow_forward27.46 A coil with magnetic moment 1.45 Amp-meter2 is oriented initially with its magnetic moment antiparallel to a uniform 0.835-T magnetic field. What is the change in potential energy of the coil when it is rotated 180 degrees so that its magnetic moment is parallel to the field?arrow_forwardAn insulated coil with 12 turns of radius 50cm is at rest in a uniform magnetic field of 3T. The field is pointing into the page. A person stretches the coil over 3 seconds, such that the new area is half the original area. If the internal resistance of the coil is 5, then what is the induced current in the coil? What is the direction of the current, and why?arrow_forward
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