1 Physics And Measurement 2 Motion In One Dimension 3 Vectors 4 Motion In Two Dimensions 5 The Laws Of Motion 6 Circular Motion And Other Applications Of Newton’s Laws 7 Energy Of A System 8 Conservation Of Energy 9 Linear Momentum And Collisions 10 Rotation Of A Rigid Object About A Fixed Axis 11 Angular Momentum 12 Static Equilibrium And Elasticity 13 Universal Gravitation 14 Fluid Mechanics 15 Oscillatory Motion 16 Wave Motion 17 Sound Waves 18 Superposition And Standing Waves 19 Temperature 20 The First Law Of Thermodynamics 21 The Kinetic Theory Of Gases 22 Heat Engines, Entropy, And The Second Law Of Thermodynamics 23 Electric Fields 24 Gauss’s Law 25 Electric Potential 26 Capacitance And Dielectrics 27 Current And Resistance 28 Direct-current Circuits 29 Magnetic Fields 30 Sources Of The Magnetic Field 31 Faraday’s Law 32 Inductance 33 Alternating Current Circuits 34 Electromagnetic Waves 35 The Nature Of Light And The Principles Of Ray Optics 36 Image Formation 37 Wave Optics 38 Diffraction Patterns And Polarization 39 Relativity Chapter31: Faraday’s Law
Chapter Questions Section: Chapter Questions
Problem 31.1QQ: A circular loop of wire is held in a uniform magnetic field, with the plane of the loop... Problem 31.2QQ: In Figure 30.8a, a given applied force of magnitude F results in a constant speed v and a power... Problem 31.3QQ: Figure 30.12 Figure 30.12 shows a circular loop of wire falling toward a wire carrying a current to... Problem 31.4QQ Problem 31.5QQ: In an equal-arm balance from the early 20th century (Fig. 31.23), an aluminum sheet hangs from one... Problem 31.1OQ: Figure OQS1.I is a graph of the magnetic flux through a certain coil of wire as a function of time... Problem 31.2OQ Problem 31.3OQ: A rectangular conducting loop is placed near a long wire carrying a current I as shown in Figure... Problem 31.4OQ: A circular loop of wire with a radius of 4.0 cm is in a uniform magnetic field of magnitude 0.060 T.... Problem 31.5OQ: A square, flat loop of wire is pulled at constant velocity through a region of uniform magnetic... Problem 31.6OQ: The bar in Figure OQ31.6 moves on rails to the right with a velocity v,. and a uniform, constant... Problem 31.7OQ: A bar magnet is held in a vertical orientation above a loop of wire that lies in the horizontal... Problem 31.8OQ: What happens to the amplitude of the induced emf when the rate of rotation of a generator coil is... Problem 31.9OQ: Two coils are placed near each other as shown in Figure OQ31.9. The coil on the left is connected to... Problem 31.10OQ: A circuit consists of a conducting movable bar and a lightbulb connected to two conducting rails as... Problem 31.11OQ: Two rectangular loops of wire lie in the same plane as shown in Figure OQ31.11. If the current I in... Problem 31.1CQ: In Section 7.7, we defined conservative and nonconservative forces. In Chapter 23, we stated that an... Problem 31.2CQ: A spacecraft orbiting the Earth has a coil of wire in it. An astronaut measures a small current in... Problem 31.3CQ: In a hydroelectric dam, how is energy produced that is then transferred out by electrical... Problem 31.4CQ: A bar magnet is dropped toward a conducting ring lying on the floor. As the magnet falls toward the... Problem 31.5CQ: A circular loop of wire is located in a uniform and constant magnetic field. Describe how an emf can... Problem 31.6CQ: A piece of aluminum is dropped vertically downward between the poles of an electromagnet. Does the... Problem 31.7CQ Problem 31.8CQ: When the switch in Figure CQ31.8a is closed, a current is set up in the coil and the metal ring... Problem 31.9CQ Problem 31.10CQ: A loop of wire is moving near a long, straight wire carrying a constant current I as shown in Figure... Problem 31.1P: A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to... Problem 31.2P: An instrument based on induced emf has been used to measure projectile speeds up to 6 km/s. A small... Problem 31.3P: Transcranial magnetic stimulation (TMS) is a noninvasive technique used to stimulate tedious of the... Problem 31.4P: A 25-turn circular coil of wire has diameter 1.00 m. It is placed with its axis along the direction... Problem 31.5P: A circular loop of wire of radius 12.0 cm is placed in a magnetic field directed perpendicular to... Problem 31.6P: A circular loop of wire of radius 12.0 cm is placed in a magnetic field directed perpendicular to... Problem 31.7P Problem 31.8P: A strong electromagnet produces a uniform magnetic field of 1.60 T over a cross-sectional area of... Problem 31.9P: A 30-turn circular coil of radius 4.00 cm and resistance 1.00 is placed in a magnetic field directed... Problem 31.10P: Scientific work is currently under way to determine whether weak oscillating magnetic fields can... Problem 31.11P: An aluminum ring of radius r1 = 5.00 cm and resistance 3.00 104 is placed around one end of a long... Problem 31.12P: An aluminum ring of radius r1 and resistance R is placed around one end of a long air-core solenoid... Problem 31.13P Problem 31.14P: A coil of 15 turns and radius 10.0 cm surrounds a long Q solenoid of radius 2.00 cm and 1.00 10s... Problem 31.15P: A square, single-turn wire loop = 1.00 cm on a side is placed inside a solenoid that has a circular... Problem 31.16P: A long solenoid has n = 400 turns per meter and carries a current given by I = 30.0(1 e1.60t),... Problem 31.17P: A coil formed by wrapping 50 turns of wire in the shape of a square is positioned in a magnetic... Problem 31.18P: When a wire carries an AC current with a known frequency, you can use a Rogowski coil to determine... Problem 31.19P: A toroid having a rectangular cross section (a = 2.00 cm by b = 3.00 cm) and inner radius R = 4.00... Problem 31.20P Problem 31.21P: A helicopter (Fig. P30.11) has blades of length 3.00 m, extending out from a central hub and... Problem 31.22P: Use Lenzs law 10 answer the following questions concerning the direction of induced currents.... Problem 31.23P: A truck is carrying a steel beam of length 15.0 in on a freeway. An accident causes the beam to be... Problem 31.24P: A small airplane with a wingspan of 14.0 m is flying due north at a speed of 70.0 m/s over a region... Problem 31.25P: A 2.00-m length of wire is held in an eastwest direction and moves horizontally to the north with a... Problem 31.26P Problem 31.27P: Figure P31.26 shows a lop view of a bar that can slide on two frictionless rails. The resistor is R... Problem 31.28P: A metal rod of mass m slides without friction along two parallel horizontal rails, separated by a... Problem 31.29P: A conducting rod of length moves on two horizontal, frictionless rails as shown in Figure P31.26.... Problem 31.30P Problem 31.31P: Review. Figure P31.31 shows a bar of mass m = 0.200 kg that can slide without friction on a pair of... Problem 31.32P: Review. Figure P31.31 shows a bar of mass m that can slide without friction on a pair of rails... Problem 31.33P: The homopolar generator, also called the Faraday disk, is a low-voltage, high-current electric... Problem 31.34P Problem 31.35P: Review. Alter removing one string while restringing his acoustic guitar, a student is distracted by... Problem 31.36P: A rectangular coil with resistance R has N turns, each of length and width as shown in Figure... Problem 31.37P Problem 31.38P: An astronaut is connected to her spacecraft by a 25.0-m-long tether cord as she and the spacecraft... Problem 31.39P: Within the green dashed circle show in Figure P30.21, the magnetic field changes with time according... Problem 31.40P Problem 31.41P Problem 31.42P: 100-turn square coil of side 20.0 cm rotates about a vertical axis at 1.50 103 rev/min as indicated... Problem 31.43P Problem 31.44P: Figure P30.24 (page 820) is a graph of the induced emf versus time for a coil of N turns rotating... Problem 31.45P: In a 250-turn automobile alternator, the magnetic flux in each turn is B, = 2.50 104 cos t, where... Problem 31.46P: In Figure P30.26, a semicircular conductor of radius R = 0.250 m is rotated about the axis AC at a... Problem 31.47P: A long solenoid, with its axis along the x axis, consists of 200 turns per meter of wire that... Problem 31.48P: A motor in normal operation carries a direct current of 0.850 A when connected to a 120-V power... Problem 31.49P: The rotating loop in an AC generator is a square 10.0 cm on each side. It is rotated at 60.0 Hz in a... Problem 31.50P Problem 31.51AP Problem 31.52AP: Suppose you wrap wire onto the core from a roll of Scotch tape to make a coil. Describe how you can... Problem 31.53AP: A circular coil enclosing an area of 100 cm2 is made of 200 turns of copper wire (Figure P30.31).... Problem 31.54AP: A circular loop of wire of resistance R = 0.500 and radius r = 8.00 cm is in a uniform magnetic... Problem 31.55AP: A rectangular loop of area A = 0.160 m2 is placed in a region where the magnetic field is... Problem 31.56AP: A rectangular loop of area A is placed in a region where the magnetic field is perpendicular to the... Problem 31.57AP: Strong magnetic fields are used in such medical procedures as magnetic resonance imaging, or MRI. A... Problem 31.58AP: Consider the apparatus shown in Figure P30.32: a conducting bar is moved along two rails connected... Problem 31.59AP: A guitars steel string vibrates (see Fig. 30.5). The component of magnetic field perpendicular to... Problem 31.60AP: Why is the following situation impossible? A conducting rectangular loop of mass M = 0.100 kg,... Problem 31.61AP: The circuit in Figure P3 1.61 is located in a magnetic field whose magnitude varies with lime... Problem 31.62AP: Magnetic field values are often determined by using a device known as a search coil. This technique... Problem 31.63AP: A conducting rod of length = 35.0 cm is free to slide on two parallel conducting bars as shown in... Problem 31.64AP: Review. A particle with a mass of 2.00 1016 kg and a charge of 30.0 nC starts from rest, is... Problem 31.65AP: The plane of a square loop of wire with edge length a = 0.200 m is oriented vertically and along an... Problem 31.66AP: In Figure P30.38, the rolling axle, 1.50 m long, is pushed along horizontal rails at a constant... Problem 31.67AP: Figure P30.39 shows a stationary conductor whose shape is similar to the letter e. The radius of its... Problem 31.68AP Problem 31.69AP: A small, circular washer of radius a = 0.500 cm is held directly below a long, straight wire... Problem 31.70AP: Figure P30.41 shows a compact, circular coil with 220 turns and radius 12.0 cm immersed in a uniform... Problem 31.71AP Problem 31.72AP: Review. In Figure P30.42, a uniform magnetic field decreases at a constant rate dB/dt = K, where K... Problem 31.73AP: An N-turn square coil with side and resistance R is pulled to the right at constant speed v in the... Problem 31.74AP: A conducting rod of length moves with velocity v parallel to a long wire carrying a steady current... Problem 31.75AP: The magnetic flux through a metal ring varies with m time t according to B = at3 bt2, where B is in... Problem 31.76AP: A rectangular loop of dimensions and w moves with a constant velocity v away from a long wire that... Problem 31.77AP: A long, straight wire carries a current given by I = Imax sin (t + ). The wire lies in the plane of... Problem 31.78AP: A thin wire = 30.0 cm long is held parallel to and d = 80.0 cm above a long, thin wire carrying I =... Problem 31.79CP Problem 31.80CP: An induction furnace uses electromagnetic induction to produce eddy currents in a conductor, thereby... Problem 31.81CP Problem 31.82CP: A betatron is a device that accelerates electrons to energies in the MeV range by means of... Problem 31.83CP: Review. The bar of mass m in Figure P30.51 is pulled horizontally across parallel, frictionless... Problem 31.31P: Review. Figure P31.31 shows a bar of mass m = 0.200 kg that can slide without friction on a pair of...
Related questions
If I wanted to generate a maximum emf of 20 V, what angular velocity (radians/sec, aka Hz) would be required given a circular coil of wire with diameter 40 cm and 500 coils? The coil rotates through a magnetic field of magnitude 9e-3 T which is directed such that the angle between the area vector and the magnet field vector varies from 0 to 2 π radians.
Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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