1 Temperature And Heat 2 The Kinetic Theory Of Gases 3 The First Law Of Thermodynamics 4 The Second Law Of Thermodynamics 5 Electric Charges And Fields 6 Gauss's Law 7 Electric Potential 8 Capacitance 9 Current And Resistance 10 Direct-current Circuits 11 Magnetic Forces And Fields 12 Sources Of Magnetic Fields 13 Electromagnetic Induction 14 Inductance 15 Alternating-current Circuits 16 Electromagnetic Waves Chapter13: Electromagnetic Induction
Chapter Questions Section: Chapter Questions
Problem 13.1CYU: Chek sour Understanding A closely und coil has a radius of 4.0 cm. 50 turns, and a total ieslstancc... Problem 13.2CYU: Check ‘sour Und.rtanding Find the dhectlon of the hiduced cunent n the wire loop shoii below as the... Problem 13.3CYU: Check Your UnderstAnding Verify the directions of the induced cuffents in Figure Figure 133 (a)Qosig... Problem 13.4CYU: Check Your Understanding Shown below is a rod of length l that is rotated counterclockwise around... Problem 13.5CYU: Check Your Understanding A rod of length 10cm moves at aspeed of 10 m/sperpendicularly though a... Problem 13.6CYU: Check Your understanding Suppose that the coil of Example 13.2 is a square rather than circular. Can... Problem 13.7CYU: Check Your Understanding What Is the magnitude of the induced electric field in Example 13.8 at t=0... Problem 13.8CYU: Check your Understanding Themagneticfield shown below Is confined to the cylindrical region shown... Problem 13.9CYU: Check Your Understanding A long solenoid of cross-section area 5.0 cm2is wound with 25 turns of wire... Problem 1CQ: A stationary coil is in a magnetic field that is changing with time. Does the emf induced in the... Problem 2CQ: In Faraday’s experiments, what would be the advantage of using coils with many turns? Problem 3CQ: A copper ring and a wooden ring of the same dimensions are placed in magnetic fields so that there... Problem 4CQ: Discuss the factors determining the induced emf in a :losed loop of wire. Problem 5CQ: a. Does the induced emf in a circuit depend on the resistance of the circuit? (b) Does the induced... Problem 6CQ: How would changing the radius of loop D shown below affect its emf, assuming C and D are much closer... Problem 7CQ: Can there be an induced emf in a circuit at an instant when the magnetic flux through the circuit is... Problem 8CQ: Does the induced emf always act to decrease the magnetic flux through a circuit? Problem 9CQ: How would you position a flat loop of wire in a changing magnetic field so that there is no Induced... Problem 10CQ: The normal to tt plane of a single-turn conducting loop is directed at an angle to a spatially... Problem 11CQ: The circular conducting loops shown in the accompanying figure are parallel, perpendicular to the... Problem 12CQ: The north pole of a mag’iet is moved toward a copper loop, as shown below. If you are looking at the... Problem 13CQ: The accompanying figure shows a conducting ring at various positions as It moves througli a magnetic... Problem 14CQ: Show that and dm/dt have the same units. Problem 15CQ: State the direction of the induced current for each case shown be1o obseMng from the sick of the... Problem 16CQ: A bar magnet falls under the influence of gravity along the axis of a long copper tube. If air... Problem 17CQ: Around the geographic North Pole (or magnetic South Pole), Earth’s magnetic field is almost... Problem 18CQ: A wire loop moves translationally (no rotation) in a uniform magnetic field. Is there an emf induced... Problem 19CQ: Is the work required to accelerate a rod from rest to a speed v in a magnetic field greater than the... Problem 20CQ: The copper sheet shown below is partially in a magnetic field. When it is pulled to the right, a... Problem 21CQ: A conducting sheet lies in a plane perpendicular to a magnetic field B that is below the sheet. If B... Problem 22CQ: Electromagnetic braking can be achieved by applying a strong magnetic field to a pinning metal disk... Problem 23CQ: A coil is moved through a magnetic field as shown below. The field is uniform inside the rectangle... Problem 24P: A 50-turn coil has a diameter of 15 cm. The coil is placed in a spatially uniform magnetic field of... Problem 25P: Repeat your calculations of the preceding problem’s time of 0.1 s with the plane of the coil making... Problem 26P: A square loop whose sides are 6.0-cm long is made with copper wire of radius 1.0 mm. If a magnetic... Problem 27P: The magnetic field through a circular loop of radius 10.0 cm varies with time as shown below. The... Problem 28P: The accompanying figure shows a single-turn rectangular coil that has a resistance of 2. . The... Problem 29P: How would the answers to the preceding problem change if the coil consisted of 20 closely spaced... Problem 30P: A long solenoid with n= 10 turns per centimeter has a cross-sectional area of 5.0 cm2and carries a... Problem 31P: A rectangular wire loop with length a and width b lies in the xy-plane, as shownbelow. Within the... Problem 32P: The magnetic field perpendicular to a single sire loop of diameter 10.0 cm decreases fron 0.50 T to... Problem 33P: A single-turn circular loop of wire of radius 50 mm lies in a plane perpendicular to a spatially... Problem 34P: When a magnetic field is first turned on, t1 flux through a 20-turn loop varies with time according... Problem 35P: The magnetic flux through the loop shown in the accompanying figure varies with time according to... Problem 36P: Use Lenz’s law to determine tl direction of induced current in each case. Problem 37P: An automobile with a radio antenna 1.0 m long travels at 100.0 km/h in a location where theEarth’s... Problem 38P Problem 39P: Suppose the magnetic field of the preceding problem oscillates with time according to B=B0sint .... Problem 40P: A coil of 1000 turns encloses an area of 25 cm2. It is rotated in 0.010 s from a position where its... Problem 41P: In the circuit sho in the accompanying figure, the rtd slides along the conducting rails at a... Problem 42P: The rod shown in the accompanying figure is moving through a uniform magnetic field of strength... Problem 43P: A 25-cm nod moves at 5.0 m/s in a plane perpendicular to a magnetic field of strength 0.25 T. The... Problem 44P: In the accompanying figure, the rails, connecting end piece, and rod all have a resistance per unit... Problem 45P: The rod shown below moves to the right on essentially zero-resistance rails at a speed v=3.0m/s . If... Problem 46P: Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform... Problem 47P: Calculate the induced electric field in a 50-tuni coil with a diameter of 15 cm that is placed in a... Problem 48P: The magnetic field through a circular loop of radius 10.0 cm varies with time as shown in the... Problem 49P: The current I through a long solenoid with n trims per meter and radius R is changing with time as... Problem 50P: Calculate the electric field induced both inside and outside the solenoid of the preceding problem... Problem 51P Problem 52P: The magnetic field at all points within the cylindrical region whose cross-section is indicated in... Problem 53P: The current in a long solenoid of radius 3 cm is varied with time at a rate of 2 A/s. A circular... Problem 54P: The current in a long solenoid of radius 3 cm and 20 turns cm is varied with time at a rate of 2... Problem 55P: Design a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will... Problem 56P: A flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of... Problem 57P: A 50-turn rectangular coil with dimensions 0.15m0.40m rotates in a uniform magnetic field of... Problem 58P: The square armature coil of an alternating current generator has 200 turns and is 20.0 cm on side.... Problem 59P: A flip coil is a relatively simple device used to measure a magnetic field, It consists of a... Problem 60P: The flip coil of the preceding problem has a radius of 3.0 cm and is wound with 40 turns of copper... Problem 61P: A 120-V, series-wound motor has a field resistance of 80 and an armature resistance of 10. When it... Problem 62P: A small series-wound dc motor is operated from a 12-V car battery. Under a normal load, the motor... Problem 63AP: Shown in the following figure is a long, straight wire and a single-turn rectangular loop, both of... Problem 64AP: A metal bar of mass 500 g slides outward at a constant speed of 1.5 cm/s over two parallel rails... Problem 65AP: A current is induced in a circular loop of radius 1.5 cm between two poles of a horseshoe... Problem 66AP: A metal bar of length 25 cm is placed perpendicular to a uniform magnetic field of strength 3 T. (a)... Problem 67AP: A coil with 50 turns and area 10cm2 is oriented with its plane perpendicular to a 0.75-T magnetic... Problem 68AP: A 2-turn planer loop of flexible wire is placed inside a long solenoid of n turns per meter that... Problem 69AP: The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm... Problem 70AP: A circular loop of wire of radius 10 cm is mounted on a vertical shaft and rotated at a frequency of... Problem 71AP: The magnetic field between the poles of a horseshoe electromagnet is uniform and has a cylindrical... Problem 72AP: A long solenoid of radius a with n turns per unit length is carrying a time-dependent current... Problem 73AP: A 120-V, series-wound dc motor draws 0.50 A from its power source when operating at full speed, and... Problem 74AP: The armature and field coils of a series-wound motor have a total resistance of 3.0 . When connected... Problem 75CP: A copper wire of Length I is fashioned into a circular coil with N turns. When the magnetic field... Problem 76CP: A 0.50-kg copper sheet drops through a uniform horizontal magnetic field of 1.5 T, and it reaches a... Problem 77CP: A circular copper disk of radius 7.5 on rotates at 2400 rpm around the axis through its center and... Problem 78CP: A short rod of length a moves with its velocity vparallel to an infinite wire carrying a current I... Problem 79CP: A rectangular circuit containing a resistance R is pulled at a constant velocity V away from a long,... Problem 80CP: Two infinite solenoids cross the plane of the circuit as shown below. The radii of the solenoids are... Problem 81CP: An eight-turn coil is tightly wrapped around the outside of the long solenoid as shown below. The... Problem 82CP: Shown below is a long rectangular loop of width w, length l, mass m, and resistance R. The loop... Problem 83CP: A square bar of mass m and resistance R is sliding without friction down very long, parallel... Problem 84CP: The accompanying figure shows a metal disk of inner radius r1 and other radius r2 rotating at an... Problem 85CP: A long solenoid with 10 turns per centimeter is placed inside a copper ring such that both objects... Problem 86CP: The current in the long, straight wire shown in the accompanying figure is given by, where I=I0sint... Problem 87CP: A 500-turn coil with a 0.250m2 area is spun in Earth’s 5.00105T magnetic field, producing a 12.0-kV... Problem 88CP: A circular loop of wire of radius 10 cm. is mounted on a vertical shaft and rotated at a frequency... Problem 89CP: A long solenoid of radius a with n turns per unit length is carrying a tune-dependent current... Problem 90CP: A rectangular copper loop of mass 100 g and resistance 0.2 is in a region of uniform magnetic field... Problem 91CP: A metal bar of mass m slides without friction over two rails a distance D apart in the region that... Problem 92CP: A time-dependent uniform magnetic field of magnitude B(t) is confined in a cylindrical region of... Problem 69AP: The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm...
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Concept explainers
For the problem in the picture, I recieved the following answer:
Introduction
Electromagnetic Induction or Induction is a process in which a conductor is put in a particular position and magnetic field keeps varying or magnetic field is stationary and a conductor is moving. This produces a Voltage or EMF (Electromotive Force) across the electrical conductor.
So we can say that:
The induction of an electromotive force by the motion of a conductor across a magnetic field or by a change in magnetic flux in a magnetic field is called ‘Electromagnetic Induction’.
Calculation and concepts
a) Given that the current flows in clockwise direction in the circuit. So the current in the rod is in -y direction.
Force acting on the rod is in x direction.
Force on a current carrying wire in a magnetic field is given as:
F= i ( dl × B)
i = current in the wire
dl = small length element
B = magnetic field
Since dl and B are perpendicular, we get
F= Bil and direction of magnetic using right hand rule we get is inside the page that is -z direction.
b) Induced potential due to time varying magnetic field is given as
E = -d(flux) /dt =d(5t * 0.5)*B /dt = 2.5B Volts
E = iR
i = 2.5 B/2
Force = BiL
10 = B* (2.5 B/2)*0.5
B^2 = 80/5 = 16
B = 4 Tesla
c) we know
F = i (dl × B)
Since direction of F is reversed direction of current also gets reversed. That is now the current will flow in y direction.
Transcribed Image Text: A metal bar slides to the right under the action of an external force Fext, on a pair of parallel rails, without
friction and conductors placed in a horizontal plane. The rails are separated by a distance L and are connected
by a resistor R. We will assume that the resistance of the rails and the rod is negligible. The system is placed in
a region with a uniform magnetic field B perpendicular to the page, and the induced current in the rod is
observed to be directed down the page.
a) If the rod is to slide with constant speed to the right, what must be the direction of the magnetic field B?
b) If Fext = 10 N, R= 2ohm, L= 50 cm and v = 5 m/s, calculate the magnitude of the magnetic field to be
applied.
c) If now the external force is applied to the left and the rod moves to the left with the same speed,
maintaining the same magnitude and direction of the magnetic field, in which direction does the induced
current in the rod now go?
L
R
Fat
Interaction between an electric field and a magnetic field.
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