Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Question
Chapter 32, Problem 22PQ
To determine
The graph for the current through the second solenoid versus time.
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A 2100-turn solenoid is 1.5 m long and 15 cm in diameter. The solenoid current is increasing at 1.1 kA/s.
A. Find the current in a 10cm-diameter wire loop with resistance 6.0 Ω lying inside the solenoid and perpendicular to the solenoid axis.
B. Repeat for a similarly oriented 25cm-diameter loop with the same resistance, lying entirely outside the solenoid.
Pr1. The figure shows the cross-section of a long, straight, cylindrical
coil (solenoid) of radius r = 10 cm. The number of turns per unit length is
n = 500 m-1. A direct current I = 1,0 A flows clockwise in the solenoid.
A charged particle accelerated by a voltage 1000 V enters into the solenoid
through a gap between the coils at point A. The velocity of the particle
at point A is pointing along the radius. The particle is traveling inside
the solenoid in a plane perpendicular to its axis and exits at point C at
an angle a = 60° to its initial direction.
60
Av
a) Determine the sign of the charge of the particle.
b) What is the radius of the particle's trajectory?
c) Find the charge-to-mass (Q/m) ratio of the particle.
(The magnetic permeability of vacuum is µo = 47 - 10-7 Vs/Am.)
A conducting rod moves with a constant velocity in a direction perpendicular to a long, straight wire carrying a current I as shown in Figure P30.40. Show that the magnitude of the emf generated between the ends of the rod isChapter 30, Problem 40AP, A conducting rod moves with a constant velocity in a direction perpendicular to a long, straight , example 1In this case, note that the emf decreases with increasing r as you might expect.Figure P30.40Chapter 30, Problem 40AP, A conducting rod moves with a constant velocity in a perpendicular to a long, straight , example 2
Chapter 32 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 32.1 - To calculate the magnetic flux through the...Ch. 32.2 - Prob. 32.2CECh. 32.3 - Prob. 32.3CECh. 32.3 - Prob. 32.4CECh. 32.4 - Prob. 32.5CECh. 32.5 - Prob. 32.6CECh. 32.6 - Prob. 32.7CECh. 32.8 - Prob. 32.8CECh. 32.8 - Prob. 32.9CECh. 32 - A constant magnetic field of 0.275 T points...
Ch. 32 - Prob. 2PQCh. 32 - Prob. 3PQCh. 32 - Prob. 4PQCh. 32 - Prob. 5PQCh. 32 - Figure P32.6 shows three situations involving a...Ch. 32 - A rectangular loop of length L and width W is...Ch. 32 - The magnetic field through a square loop of wire...Ch. 32 - Prob. 9PQCh. 32 - Prob. 10PQCh. 32 - Suppose a uniform magnetic field is perpendicular...Ch. 32 - Prob. 12PQCh. 32 - A square conducting loop with side length a = 1.25...Ch. 32 - A The magnetic field in a region of space is given...Ch. 32 - A The magnetic field in a region of space is given...Ch. 32 - Prob. 16PQCh. 32 - Prob. 17PQCh. 32 - Prob. 18PQCh. 32 - A square loop with side length 5.00 cm is on a...Ch. 32 - A thin copper rod of length L rotates with...Ch. 32 - Figure P32.21 shows a circular conducting loop...Ch. 32 - Prob. 22PQCh. 32 - A square loop with side length L, mass M, and...Ch. 32 - Prob. 24PQCh. 32 - Prob. 25PQCh. 32 - Prob. 26PQCh. 32 - Prob. 27PQCh. 32 - A solenoid of area Asol produces a uniform...Ch. 32 - Two circular conductors are perpendicular to each...Ch. 32 - Two circular conducting loops labeled A and B are...Ch. 32 - Prob. 31PQCh. 32 - Prob. 32PQCh. 32 - Prob. 33PQCh. 32 - Prob. 34PQCh. 32 - Prob. 35PQCh. 32 - Find an expression for the current in the slide...Ch. 32 - The slide generator in Figure 32.14 (page 1020) is...Ch. 32 - Prob. 38PQCh. 32 - A thin conducting bar (60.0 cm long) aligned in...Ch. 32 - A stiff spring with a spring constant of 1200.0...Ch. 32 - A generator spinning at a rate of 1.20 103...Ch. 32 - Suppose you have a simple homemade AC generator...Ch. 32 - Prob. 43PQCh. 32 - Prob. 44PQCh. 32 - Prob. 45PQCh. 32 - Prob. 46PQCh. 32 - A square coil with a side length of 12.0 cm and 34...Ch. 32 - Prob. 48PQCh. 32 - Prob. 49PQCh. 32 - Prob. 50PQCh. 32 - Prob. 51PQCh. 32 - Prob. 52PQCh. 32 - Prob. 53PQCh. 32 - Prob. 54PQCh. 32 - Prob. 55PQCh. 32 - Prob. 56PQCh. 32 - Prob. 57PQCh. 32 - A step-down transformer has 65 turns in its...Ch. 32 - Prob. 59PQCh. 32 - Prob. 60PQCh. 32 - Prob. 61PQCh. 32 - Prob. 62PQCh. 32 - Prob. 63PQCh. 32 - A bar magnet is dropped through a loop of wire as...Ch. 32 - Prob. 65PQCh. 32 - Prob. 66PQCh. 32 - A circular coil with 75 turns and radius 12.0 cm...Ch. 32 - Each of the three situations in Figure P32.68...Ch. 32 - A square loop with sides 1.0 m in length is placed...Ch. 32 - Prob. 70PQCh. 32 - Two frictionless conducting rails separated by l =...Ch. 32 - Imagine a glorious day after youve finished...Ch. 32 - Prob. 73PQCh. 32 - A Figure P32.74 shows an N-turn rectangular coil...Ch. 32 - A rectangular conducting loop with dimensions w =...Ch. 32 - Prob. 76PQCh. 32 - A conducting rod is pulled with constant speed v...Ch. 32 - Prob. 78PQCh. 32 - A conducting single-turn circular loop with a...Ch. 32 - A metal rod of mass M and length L is pivoted...
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Similar questions
- A Figure P32.74 shows an N-turn rectangular coil of length a and width b entering a region of uniform magnetic field of magnitude Bout directed out of the page. The velocity of the coil is constant and is upward in the figure. The total resistance of the coil is R. What are the magnitude and direction of the magnetic force on the coil a. when only a portion of the coil has entered the region with the field, b. when the coil is completely embedded in the field, and c. as the coil begins to exit the region with the field?arrow_forwardThe magnetic field through a square loop of wire with sides of length 3.00 cm changes with time as shown in Figure P32.8, where the sign indicates the direction of the field relative to the axis of the loop. Plot the emf induced in the loop versus time. FIGURE P32.8arrow_forwardYou wish to move a rectangular loop of wire into a region of uniform magnetic field at a given speed so as to induce an emf in the loop. The plane of the loop must remain perpendicular to the magnetic field lines. In which orientation should you hold the loop while you move it into the region of magnetic field so as to generate the largest emf? (a) with the long dimension of the loop parallel to the velocity vector (b) with the short dimension of the loop parallel to the velocity vector (c) either way because the emf is the same regardless of orientationarrow_forward
- Consider a solenoid that is very long compared with its radius. Of the following choices, what is the most effective way to increase the magnetic field in the interior of the solenoid? (a) double its length, keeping the number of turns per unit length constant (b) reduce its radius by half, keeping the number of turns per unit length constant (c) overwrap the entire solenoid with an additional layer of current-carrying wirearrow_forwardConsider 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_forwardPr1. The figure shows the cros-section of a long, straight, cylindrical coil (solenoid) of radius r = 10 cm. The number of turns per unit length is n = 500 m-1. A direct current I = 1,0 A flows clockwise in the solenoid. A charged particle accelerated by a voltage 1000 V enters into the solenoid through a gap between the coils at point A. The velocity of the particle at point A is pointing along the radius. The particle is traveling inside the solenoid in a plane perpendicular to its axis and exits at point C at an angle a = 60° to its initial direction. 60 A a) Determine the sign of the charge of the particle. b) What is the radius of the particle's trajectory? c) Find the charge-to-mass (Q/m) ratio of the particle. (The magnetic permeability of vacuum is µo = 4n · 10-7 Vs/Am.)arrow_forward
- b. A 10 cm long solenoid with a radius 1cm has 500 turns. The current in the solenoid is changing at 0.5A per second. Find the followingarrow_forward8. A long solenoid of radius a with n turns per unit length is carrying a time-dependent current I(t) = I, sin(ot), where I, and o are constants. The solenoid is surrounded by a wire of resistance R that has two circular loops of radius b with b>a (see the figure). Find the magnitude of current induced in the outer loops at time t= 0. a barrow_forward+ Motional EMF in a Conducting Rod When the charges in the rod are in equilibrium, what is the magnitude E of the electric field within the rod? Express your answer in volts per meter to at least three significant figures. In the figure, a conducting rod with length L = 27.0 cm moves in a magnetic field B of magnitude 0.400 T directed into the plane of the figure. The rod moves with speed v = 5.00 m/s in the direction shown. (Figure 1) • View Available Hint(s) E = 3.50 V/m Submit Previous Answers Figure < 1 of 1 X Incorrect; Try Again; 5 attempts remaining Part D L Which point, a or b, is at higher potential? • View Available Hint(s) V B O a O barrow_forward
- 135. A capacitor consists of two parallel circular plates of radius r. The capacitor has capacitance C and is being charged in a simple circuit loop. The circuit has an initial current I0 and consists of the capacitor, a battery with voltage V, and a resistor with resistance R What is the magnetic field in the middle of the capacitor plates at a distance d from the center, as a function of time t? Give your answer in terms of d, r, I0, t, R, C,arrow_forwardA long solenoid has a radius of 4 cm and has 800 turns/m. If the current in the solenoid is increasing at the rate of 25.3 A/s, what is the magnitude of the induced electric field at a point 2.2 cm from the axis of the solenoid? O a. 279.56 µV/m Ο b 379.50 μν /m Ο c227.70 μν/m O d. 923.45 µV/m O e. 2033.11 µV/marrow_forwardA solenoid with 31 turns per centimeter carries a current I. An electron moves within the solenoid in a circle that has a radius of 3.0 cm and is perpendicular to the axis of the solenoid. If the speed of the electron is 3.4 x 105 m/s, what is I (in A)? Aarrow_forward
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