1 Introduction, Measurement, Estimating 2 Describing Motion: Kinematics In One Dimension 3 Kinematics In Two Or Three Dimensions; Vectors 4 Dynamics: Newton's Laws Of Motion 5 Using Newton's Laws: Friction, Circular Motion, Drag Forces 6 Gravitation And Newton's Synthesis 7 Work And Energy 8 Conservation Of Energy 9 Linear Momentum 10 Rotationalmotion 11 Angular Momentum; General Rotation 12 Static Equilibrium; Elasticity And Fracture 13 Fluids 14 Oscillations 15 Wave Motion 16 Sound 17 Temperature, Thermal Expansion And The Ideal Gas Law 18 Kinetic Theory Of Gases 19 Heat And The First Law Of Thermodynamics 20 Second Law Of Thermodynamics 21 Electric Charge And Electric Field 22 Gauss's Law 23 Electric Potential 24 Capacitance, Dielectrics, Electric Energy Storage 25 Electric Currents And Resistance 26 Dc Circuits 27 Magnetism 28 Sources Of Magnetic Field 29 Electromagnetic Induction And Faraday's Law 30 Inductance, Electromagnetic Oscillations, And Ac Circuits 31 Maxwell's Equation And Electromagnetic Waves 32 Light: Reflection And Refraction 33 Lenses And Optical Instruments 34 The Wave Nature Of Light: Interference 35 Diffraction And Polarization 36 Special Theory Of Relativity 37 Early Quantum Theory And Models Of The Atom 38 Quantum Mechanics 39 Quantum Mechanics Of Atoms 40 Molecules And Solids 41 Nuclear Physics And Radioactivity 42 Nuclear Energy; Effects And Uses Of Radiation 43 Elementary Particles 44 Astrophysics And Cosmology expand_more
28.1 Magnetic Field Due To A Straight Wire 28.2 Force Between Two Parallel Wires 28.3 Definitions Of The Ampere And The Coulomb 28.4 Ampere’s Law 28.5 Magnetic Field Of A Solenoid And A Toroid 28.6 Biot-savart Law 28.7 Magnetic Materials—ferromagnetism 28.8 Electromagnets And Solenoids—applications 28.9 Magnetic Fields In Magnetic Materials; Hysteresis 28.10 Paramagnetism And Diamagnetism Chapter Questions expand_more
Problem 1Q: The magnetic field due to current in wires in your home can affect a compass. Discuss the problem in... Problem 2Q: Compare and contrast the magnetic field due to a long straight current and the electric field due to... Problem 3Q: Two insulated long wires carrying equal currents I cross at right angles to each other. Describe the... Problem 4Q Problem 5Q: A horizontal current-carrying wire, free to move in Earths gravitational field, is suspended... Problem 6Q: (a) Write Ampres law for a path that surrounds both conductors in Fig. 2810. (b) Repeat, assuming... Problem 7Q: Suppose the cylindrical conductor of Fig. 2811a has a concentric cylindrical hollow cavity inside it... Problem 8Q: Explain why a field such as that shown in Fig. 2814b is consistent with Ampres law. Could the lines... Problem 9Q Problem 10Q: Use the Biot-Savart law to show that the field of the current loop in Fig. 2821 is correct as shown... Problem 11Q Problem 12Q: Why does twisting the lead-in wires to electrical devices reduce the magnetic effects of the leads? Problem 13Q: Compare the Biot-Savart law with Coulombs law. What are the similarities and differences? Problem 14Q: How might you define or determine the magnetic pole strength (the magnetic equivalent of a single... Problem 15Q: How might you measure the magnetic dipole moment of the Earth? Problem 16Q: A type of magnetic switch similar to a solenoid is a relay (Fig. 2832). A relay is an electromagnet... Problem 17Q: A heavy magnet attracts, from rest, a heavy block of iron. Before striking the magnet the block has... Problem 18Q: Will a magnet attract any metallic object, such as those made of aluminum, or only those made of... Problem 19Q: An unmagnetized nail will not attract an unmagnetized paper clip. However, if one end of the nail is... Problem 20Q Problem 21Q Problem 22Q Problem 23Q Problem 24Q: Two iron bars attract each other no matter which ends are placed close together. Are both magnets?... Problem 25Q: Describe the magnetization curve for (a) a paramagnetic substance and (b) a diamagnetic substance,... Problem 26Q Problem 1P: (I) Jumper cables used to start a stalled vehicle often carry a 65-A current. How strong is the... Problem 2P: (I) If an electric wire is allowed to produce a magnetic field no larger than that of the Earth... Problem 3P Problem 4P Problem 5P Problem 6P: (II) An experiment on the Earths magnetic field is being carried out 1.00m from an electric cable.... Problem 7P Problem 8P: At the location of the compass, the magnetic field caused by the wire will point to the west, and... Problem 9P: (II) A long horizontal wire carries 24.0 A of current due north. What is the net magnetic field 20.0... Problem 10P: (II) A straight stream of protons passes a given point in space at a rate of 2.5 109 protons/s.... Problem 11P: (II) Determine the magnetic field midway between two long straight wires 2.0 cm apart in terms of... Problem 12P: (II) Two straight parallel wires are separated by 6.0cm. There is a 2.0-A current flowing in the... Problem 13P: (II) Two long straight wires each carry a current I out of the page toward the viewer, Fig. 28-35.... Problem 14P: (II) A long pair of insulated wires serves to conduct 28.0 A of dc current to and from an... Problem 15P: (II) A third wire is placed in the plane of the two wires shown in Fig. 2836 parallel and just to... Problem 16P: (II) A power line carries a current of 95 A west along the tops of 8.5-m-high poles. (a) What is the... Problem 17P: (II) A compass needle points 28 E of N outdoors. However, when it is placed 12.0 cm to the east of a... Problem 18P Problem 19P: (II) Let two long parallel wires, a distance d apart, carry equal currents I in the same direction.... Problem 20P: (II) Repeat Problem 19 if the wire at x = 0 carries twice the current (2I) as the other wire, and in... Problem 21P: (II) Two long wires are oriented so that they are perpendicular to each other. At their closest,... Problem 22P: (II) Two long parallel wires 8.20 cm apart carry 16.5-A currents in the same direction. Determine... Problem 23P: (III) A very long flat conducting strip of width d and negligible thickness lies in a horizontal... Problem 24P: (III) A triangular loop of side length a carries a current I (Fig. 2841). If this loop is placed a... Problem 25P Problem 26P Problem 27P: (I) A 2.5-mm-diameter copper wire carries a 33-A current (uniform across its cross section).... Problem 28P: (II) A toroid (Fig. 2817) has a 50.0-cm inner diameter and a 54.0-cm outer diameter. It carries a... Problem 29P Problem 30P: (II) (a) Use Eq. 281, and the vector nature of B, to show that the magnetic field lines around two... Problem 31P: (II) A coaxial cable consists of a solid inner conductor of radius R1, surrounded by a concentric... Problem 32P: (III) Suppose the current in the coaxial cable of Problem 31, Fig. 2842, is not uniformly... Problem 33P Problem 34P: (II) A wire, in a plane, has the shape shown in Fig. 2843, two arcs of a circle connected by radial... Problem 35P: (II) A circular conducting ring of radius R is connected to two exterior straight wires at two ends... Problem 36P: (II) A small loop of wire of radius 1.8 cm is placed at the center of a wire loop with radius 25.0... Problem 37P Problem 38P Problem 39P Problem 40P Problem 41P Problem 42P: (III) Use the result of Problem 41 to find the magnetic field at point P in Fig. 2850 due to the... Problem 43P: (III) A wire is bent into the shape of a regular polygon with n sides whose vertices are a distance... Problem 44P Problem 45P Problem 46P: (III) A square loop of wire, of side d, carries a current I. (a) Determine the magnetic field B at... Problem 47P: (II) An iron atom has a magnetic dipole moment of about 1.81023Am2. (a) Determine the dipole moment... Problem 48P: (I) The following are some values of B and B0 for a piece of annealed iron as it is being... Problem 49P: (I) A large thin toroid has 285 loops of wire per meter, and a 3.0-A current flows through the wire.... Problem 50P: (II) An iron-core solenoid is 38 cm long and 1.8 cm in diameter, and has 640 turns of wire. The... Problem 51GP: Three long parallel wires are 3.5 cm from one another. (Looking along them, they are at three... Problem 52GP Problem 53GP Problem 54GP Problem 55GP: Two long straight parallel wires are 15 cm apart. Wire A carries 2.0-A current. Wire Bs current is... Problem 56GP: A rectangular loop of wire carries a 2.0-A current and lies in a plane which also contains a very... Problem 57GP Problem 58GP: A long horizontal wire carries a current of 48 A. A second wire, made of 1.00-mm-diameter copper... Problem 59GP: A square loop of wire, of side d, carries a current I. Show that the magnetic field at the center of... Problem 60GP Problem 61GP Problem 62GP: For two long parallel wires separated by a distance d, carrying currents I1 and I2 as in Fig. 2810,... Problem 63GP: Near the Earths poles the magnetic field is about 1 G (1 104 T). Imagine a simple model in which... Problem 64GP: A 175-g model airplane charged to 18.0 mC and traveling at 2.8 m/s passes within 8.6 cm of a wire,... Problem 65GP: Suppose that an electromagnet uses a coil 2.0 m in diameter made from square copper wire 2.0 mm on a... Problem 66GP: Four hour long straight parallel wires located at the coiners of a square of side d carry equal... Problem 67GP Problem 68GP: A thin 12-cm-long solenoid has a total of 420 turns of wire and carries a current of 2.0 A.... Problem 69GP: A 550-turn solenoid is 15 cm long. The current into it is 33 A. A 3.0-cm-long straight wire cuts... Problem 70GP Problem 71GP Problem 72GP Problem 73GP Problem 74GP Problem 75GP: (II) A circular current loop of radius 15 cm containing 250 turns carries a current of 2.0 A. Its... Problem 76GP: (III) A set of Helmholtz coils (see Problem 61, Fig. 2858) have a radius R = 10.0 cm and are... format_list_bulleted