University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 13, Problem 11CQ
The circular
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The circular conducting loops shown in the accompanying figure are parallel, perpendicular to the plane of the page, and coaxial. (a) When the switch S isclosed, what is the direction of the current induced in D? (b) When the switch is opened, what is the direction of the current induced in loop D?
A conducting bar of length l moves to the right on two frictionless rails, as shown in the figure below. A uniform magnetic field directed into the page has a magnitude of 0.31 T. Assume { = 32 cm and R = 8.8 S.
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R
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(a) At what constant speed should the bar move to produce an 8.6 mA current in the resistor?
m/s
What is the direction of this induced current?
O clockwise
counterclockwise
into the screen
O out of the screen
(b) At what rate is energy delivered to the resistor?
mW
(c) Explain the origin of the energy being delivered to the resistor.
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X xx X >
x x X X )
X X X X X
x x x >
A moveable (massless and frictionless) bar with a length of L = 18/50 m is being moved at a constant velocity of 60/10 m/s from left to right along two conducting rails by an external force, F, as shown inthe Figure. If the system is immersed in a uniform magnetic field (out of the paper) with magnitude18/100 Tesla, What is the induced current and its direction of the loop if the resistance is 18/5 Ω ?
Chapter 13 Solutions
University Physics Volume 2
Ch. 13 - Chek sour Understanding A closely und coil has a...Ch. 13 - Check ‘sour Und.rtanding Find the dhectlon of the...Ch. 13 - Check Your UnderstAnding Verify the directions of...Ch. 13 - Check Your Understanding Shown below is a rod of...Ch. 13 - Check Your Understanding A rod of length 10cm...Ch. 13 - Check Your understanding Suppose that the coil of...Ch. 13 - Check Your Understanding What Is the magnitude of...Ch. 13 - Check your Understanding Themagneticfield shown...Ch. 13 - Check Your Understanding A long solenoid of...Ch. 13 - A stationary coil is in a magnetic field that is...
Ch. 13 - In Faraday’s experiments, what would be the...Ch. 13 - A copper ring and a wooden ring of the same...Ch. 13 - Discuss the factors determining the induced emf in...Ch. 13 - a. Does the induced emf in a circuit depend on the...Ch. 13 - How would changing the radius of loop D shown...Ch. 13 - Can there be an induced emf in a circuit at an...Ch. 13 - Does the induced emf always act to decrease the...Ch. 13 - How would you position a flat loop of wire in a...Ch. 13 - The normal to tt plane of a single-turn conducting...Ch. 13 - The circular conducting loops shown in the...Ch. 13 - The north pole of a mag’iet is moved toward a...Ch. 13 - The accompanying figure shows a conducting ring at...Ch. 13 - Show that and dm/dt have the same units.Ch. 13 - State the direction of the induced current for...Ch. 13 - A bar magnet falls under the influence of gravity...Ch. 13 - Around the geographic North Pole (or magnetic...Ch. 13 - A wire loop moves translationally (no rotation) in...Ch. 13 - Is the work required to accelerate a rod from rest...Ch. 13 - The copper sheet shown below is partially in a...Ch. 13 - A conducting sheet lies in a plane perpendicular...Ch. 13 - Electromagnetic braking can be achieved by...Ch. 13 - A coil is moved through a magnetic field as shown...Ch. 13 - A 50-turn coil has a diameter of 15 cm. The coil...Ch. 13 - Repeat your calculations of the preceding...Ch. 13 - A square loop whose sides are 6.0-cm long is made...Ch. 13 - The magnetic field through a circular loop of...Ch. 13 - The accompanying figure shows a single-turn...Ch. 13 - How would the answers to the preceding problem...Ch. 13 - A long solenoid with n= 10 turns per centimeter...Ch. 13 - A rectangular wire loop with length a and width b...Ch. 13 - The magnetic field perpendicular to a single sire...Ch. 13 - A single-turn circular loop of wire of radius 50...Ch. 13 - When a magnetic field is first turned on, t1 flux...Ch. 13 - The magnetic flux through the loop shown in the...Ch. 13 - Use Lenz’s law to determine tl direction of...Ch. 13 - An automobile with a radio antenna 1.0 m long...Ch. 13 - Prob. 38PCh. 13 - Suppose the magnetic field of the preceding...Ch. 13 - A coil of 1000 turns encloses an area of 25 cm2....Ch. 13 - In the circuit sho in the accompanying figure, the...Ch. 13 - The rod shown in the accompanying figure is moving...Ch. 13 - A 25-cm nod moves at 5.0 m/s in a plane...Ch. 13 - In the accompanying figure, the rails, connecting...Ch. 13 - The rod shown below moves to the right on...Ch. 13 - Shown below is a conducting rod that slides along...Ch. 13 - Calculate the induced electric field in a 50-tuni...Ch. 13 - The magnetic field through a circular loop of...Ch. 13 - The current I through a long solenoid with n trims...Ch. 13 - Calculate the electric field induced both inside...Ch. 13 - Prob. 51PCh. 13 - The magnetic field at all points within the...Ch. 13 - The current in a long solenoid of radius 3 cm is...Ch. 13 - The current in a long solenoid of radius 3 cm and...Ch. 13 - Design a current loop that, when rotated in a...Ch. 13 - A flat, square coil of 20 turns that has sides of...Ch. 13 - A 50-turn rectangular coil with dimensions...Ch. 13 - The square armature coil of an alternating current...Ch. 13 - A flip coil is a relatively simple device used to...Ch. 13 - The flip coil of the preceding problem has a...Ch. 13 - A 120-V, series-wound motor has a field resistance...Ch. 13 - A small series-wound dc motor is operated from a...Ch. 13 - Shown in the following figure is a long, straight...Ch. 13 - A metal bar of mass 500 g slides outward at a...Ch. 13 - A current is induced in a circular loop of radius...Ch. 13 - A metal bar of length 25 cm is placed...Ch. 13 - A coil with 50 turns and area 10cm2 is oriented...Ch. 13 - A 2-turn planer loop of flexible wire is placed...Ch. 13 - The conducting rod shown in the accompanying...Ch. 13 - A circular loop of wire of radius 10 cm is mounted...Ch. 13 - The magnetic field between the poles of a...Ch. 13 - A long solenoid of radius a with n turns per unit...Ch. 13 - A 120-V, series-wound dc motor draws 0.50 A from...Ch. 13 - The armature and field coils of a series-wound...Ch. 13 - A copper wire of Length I is fashioned into a...Ch. 13 - A 0.50-kg copper sheet drops through a uniform...Ch. 13 - A circular copper disk of radius 7.5 on rotates at...Ch. 13 - A short rod of length a moves with its velocity...Ch. 13 - A rectangular circuit containing a resistance R is...Ch. 13 - Two infinite solenoids cross the plane of the...Ch. 13 - An eight-turn coil is tightly wrapped around the...Ch. 13 - Shown below is a long rectangular loop of width w,...Ch. 13 - A square bar of mass m and resistance R is sliding...Ch. 13 - The accompanying figure shows a metal disk of...Ch. 13 - A long solenoid with 10 turns per centimeter is...Ch. 13 - The current in the long, straight wire shown in...Ch. 13 - A 500-turn coil with a 0.250m2 area is spun in...Ch. 13 - A circular loop of wire of radius 10 cm. is...Ch. 13 - A long solenoid of radius a with n turns per unit...Ch. 13 - A rectangular copper loop of mass 100 g and...Ch. 13 - A metal bar of mass m slides without friction over...Ch. 13 - A time-dependent uniform magnetic field of...
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- In the circuit sho in the accompanying figure, the rtd slides along the conducting rails at a constant VelOCity v. The velocity is in the same plane as the rails and directed at an angle 6 to them. A uniform magnetic field Bis directed out of the page. What is the emf induced in the r?arrow_forwardHow would you position a flat loop of wire in a changing magnetic field so that there is no Induced emf in the loop?arrow_forwardThe magnetic flux through the loop shown in the accompanying figure varies with time according to m=2.00e3tsin(120t) , where m is in milliwebers. What are the direction and magnitude of the current through the 5.00 resistor at (a) t= 0; (b) t=2.17102 s and (c)t=3.00 s?arrow_forward
- Check ‘sour Und.rtanding Find the dhectlon of the hiduced cunent n the wire loop shoii below as the magnet enteis, passes though, and leaves the Loop.arrow_forwardShown in the following figure is a long, straight wire and a single-turn rectangular loop, both of which he in the plane of the page. The wire is parallel to the long sides of the loop and is 0.50 m away from the closer side. At an instant when the emf induced in the loop is 2.0 V, what is the time rate of change of the current in the wire?arrow_forwardThe conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm apart. The system is in a uniform magnetic field of strength 0.75 T, which is directed into the page. The resistances of the rod and the rails are negligible, but the section PQ has a resistance of 0.25 . (a) What is the emf (including its sense) induced in the rod when it is moving to tire right with a speed of 5.0 m/s? (b) What force is required to keep the rod moving at this speed? (c) What is the rate at which work is done by this force? (d) What is the power dissipated in the resistor?arrow_forward
- The current in the long, straight wire shown in the accompanying figure is given by, where I=I0sint I0=15Aand=120rad/s. What is she current induced in the rectangular loop at (a) t = 0 and (b) t=2.1103s The resistance of loop is 2.0 .arrow_forwardCheck Your Understanding Shown below is a rod of length l that is rotated counterclockwise around the axis through O by the torque due to mg . Assuming that the rod is in a uniform magnetic field B , what is the emf induced between the ends of the rod when its angular velocity is ? Which end of the rod is at a higher potential?arrow_forwardTwo long, parallel wires cy equal currents in opposite directions. The radius of each wire is a, and the distance between the centers of the wires is d, Show that if the magnetic flux within the wires themselves can be ignored, the self-inductance of a length 1 of such a pair of wires is L 0 l in d1 a (Hint Calculate the magnetic flux through a rectangle of length 1 between the wires and then use L=N/Iarrow_forward
- Shown below is a long rectangular loop of width w, length l, mass m, and resistance R. The loop starts tram rest at the edge of a uniform magnetic held B and is pushed into the Held by a constant force F function of time.arrow_forwardA long solenoid of radius a with n turns per unit length is carrying a time-dependent current I(t)=I0sin(t) , where I0and 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 following figure). Find the magnitude and direction of current induced in the outerarrow_forwardThe accompanying figure shows a metal disk of inner radius r1 and other radius r2 rotating at an angular velocity while in a uniform magnetic field directed parallel to the rotational axis. The brush leads of voltmeter are connected to the dark's inner and outer surfaces as shown. What is the reading of the voltmeter ?arrow_forward
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