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 Chapter12: Sources Of Magnetic Fields
Chapter Questions Section: Chapter Questions
Problem 12.1CYU: Check Your Understanding Using Example 12.1, at what distance would P have to be to measure a... Problem 12.2CYU: Check Your Understanding The wire loop forms a full circle of radius R and current I. What is the... Problem 12.3CYU: 12.3 Check Your Understanding Using Example 12.3, keeping the currents the same in wires 1 and 3,... Problem 12.4CYU: 12.4 Check Your Understanding Two wires, both carrying current out of the page, have a current of... Problem 12.5CYU: Check Your Understanding Using Example 12.5, at what distance would you have to move the first coil... Problem 12.6CYU: Check Your Understanding Consider using Ampere’s law to calculate the magnetic fields of a finite... Problem 12.7CYU: 12.7 Check Your Understanding What is the ratio of the magnetic field produced from using a finite... Problem 12.8CYU: Check your Understanding Repeat the calculations from the previous example for I0=0.040A . Problem 1CQ: For calculating magnetic fields, what are the advantages and disadvantages of the Biot-Savart law? Problem 2CQ: Describe the magnetic field due to the current in two wires connected to tire two terminals of a... Problem 3CQ: How can you decide if a wire is infinite? Problem 4CQ: Identical currents are carried in two circular loops; however, one loop has twice the diameter as... Problem 5CQ: How would you orient two long, straight, current carrying wires so that there is no net magnetic... Problem 6CQ: Compare and contrast the electric field of an infinite line of charge and the magnetic field of an... Problem 7CQ: Is B constant in magnitude for points that lie on a magnetic field line? Problem 8CQ: Is the magnetic field of a current loop uniform? Problem 9CQ: What happens to the length of a suspended spring when a current passes through it? Problem 10CQ: Two concentric circular wines with different diameters carry currents in tire same direction.... Problem 11CQ: Is Ampere’s law valid for all closed paths? Why isn’t it normally useful for calculating a magnetic... Problem 12CQ: Is the magnetic field inside a toroid completely uniform? Almost uniform? Problem 13CQ: Explain why B=0 inside a long, hollow copper pipe that is carrying an electric current parallel to... Problem 14CQ: A diamagnetic material is brought dose to a permanent magnet. What happens to the material? Problem 15CQ: If you cut a bar magnet into two pieces, will you end up with one magnet with an isolated north pole... Problem 16P: A 10-A current flows through the wire shown. What is the magnitude of the magnetic field due to a... Problem 17P: Ten amps flow through a square loop where each side is 20 cm in length. At each comer of the loop is... Problem 18P: What is the magnetic field at P due to the current I in the wire shown? Problem 19P: The accompanying figure shows a current loop consisting of two concentric circular arcs and two... Problem 20P: Find the magnetic field at the center C of the rectangular loop of wire shown in the accompanying... Problem 21P: Two long wires, one of which has a semicircular tend of radius R, are positioned as shown in the... Problem 22P: A typical currant in a lightning bolt is 104 A. Estimate the magnetic field 1 m from the bolt. Problem 23P: The magnitude of the magnetic field 50 cm from a long, thin, straight wire is 8.0T . What is the... Problem 24P: A transmission line strung 7.0 m above the ground carries a current of 500 A. What is the magnetic... Problem 25P: A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in... Problem 26P: The two long, parallel wires shown in the accompanying figure carry currents in the same direction.... Problem 27P: The accompanying figure shows two long, straight, horizontal wires that are parallel and a distance... Problem 28P: Repeat the calculations of the preceding problem with the direction of the current in the lower wire... Problem 29P: Consider the area between the wires of the preceding problem. At what distance from tire top wire is... Problem 30P: Two long, straight wires are parallel and 25 cm apart. (a) If each wire carries a current of 50 A in... Problem 31P: Two long, straight wires are parallel and 10 cm apart. One cans a current of 2.0 A, the other a... Problem 32P: Two long, parallel wires are hung by cords of length 5.0 cm, as shown in the accompanying figure.... Problem 33P: A circuit with current I has two long parallel wire sections that carry current in opposite... Problem 34P: The infinite, straight wire shown in the accompanying figure cans a current I1. The rectangular... Problem 35P: When the current through a circular loop is 6.0 A, the magnetic field at its center is 2.0104 T.... Problem 36P: How many turns must be wound on a flat, circular coil of radius 20 cm in order to produce a magnetic... Problem 37P: A flat, circular loop has 20 turns. The radius of the loop is 10.0 cm and the current through the... Problem 38P: A circular loop of radius R carries a current I. At what distance along the axis of the loop is the... Problem 39P: Two flat, circular coils, each with a radius R and wound with JV turns, ace mounted along the same... Problem 40P: For the coils in the preceding problem, what is the magnetic field at the center of either coil? Problem 41P: A current 1 flows around the rectangular loop shown in the accompanying figure. Evaluate BdI for the... Problem 42P: Evaluate BdI for each of the cases shown in the accompanying figure. Problem 43P: The coil whose lengthwise cross section is shown in the accompanying figure carries a currents I and... Problem 44P: A superconducting wire of diameter 0.25 cm carries a current of 1000 A. What is the magnetic field... Problem 45P: A long, straight wire of radius R caries a current I that is distributed uniformly over the... Problem 46P: The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner... Problem 47P: A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed... Problem 48P: A portion of a long, cylindrical coaxial cable is shown in the accompanying figure. A current I... Problem 49P: A solenoid is wound with 2000 turns pet meter. When the cuiient is 5.2 A, what is the magnetic field... Problem 50P: A solenoid has 12 turns per centimeter. What current will produce a magnetic field of 2.0102 T... Problem 51P: If a current is 2.0 A, bow many turns per centimeter must be wound on a solenoid in order to produce... Problem 52P: A solenoid is 40 cm long, has a diameter of 3.0 cm, and is wound with 500 turns. If the current... Problem 53P: Determine the magnetic field on the central axis at the opening of a semi-infinite solenoid. (That... Problem 54P: By how much is the approximation B=0nI in error at the center of a solenoid that is 15.0 cm long,... Problem 55P: A solenoid with 25 turns per centimeter carries a current I. An electron moves within the solenoid... Problem 56P: A toroid has 250 trims of wire and carries a current of 20 A. Its inner and outer radii are 8.0 and... Problem 57P: A toroid with a square cross section 3.0cm3.0cm has an inner radius of 25.0 cm. It is wound with 500... Problem 58P: The magnetic field in the core of an air-filled solenoid is 1.50 T, By how much will this magnetic... Problem 59P: A solenoid has a ferromagnetic core, n = 1000 turns per meter, and I = 5.0 A. If B inside the... Problem 60P: A 20-A current flows through a solenoid with 2000 turns per meter. What is the magnetic field inside... Problem 61P: The magnetic dipole moment of the iron atom is about 2.11023Am2 . (a) Calculate the maximum magnetic... Problem 62P: Suppose you wish to produce 1.2-T magnetic field in a toroid with an iron core for which =4.0103 .... Problem 63P: A current of 1.5 A flows through the windings of a large, thin toroid with 200 turns per meter. If... Problem 64P: A solenoid with an iron core is 25 cm long and is wrapped with 100 turns of wire. When the current... Problem 65AP: Three long, straight, parallel wires, all carrying 20 A, are positioned as shown in the accompanying... Problem 66AP: A current I flows around a wire bent into the shape of a square of side a. What is tire magnetic... Problem 67AP: The accompanying figure shows a long, straight wire carrying a current of 10 A. What is the magnetic... Problem 68AP: Current flows along a thin, infinite sheet as shown in the accompanying figure. The current per unit... Problem 69AP: (a) Use the result of the previous problem to calculate the magnetic field between, above, and below... Problem 70AP: We often assume that the magnetic field is uniform in a legion and zero everywhere else. Show that... Problem 71AP: How is the percentage change in the strength of the magnetic field across the face of the toroid... Problem 72AP: Show that the expression for the magnetic field of a toroid reduces to tlrat for the field of an... Problem 73AP: A toroid with an inner radius of 20 cm and an outer radius of 22 cm is tightly wound with one layer... Problem 74AP: A wire element has dI,IdI=JAdl=Jdv , where A and dv are the cross-sectional area and volume of the... Problem 75AP: A reasonably uniform magnetic field over a limited region of space can be produced with the... Problem 76AP: A charge of 4.0C .s distributed uniformly around a thin ring of insulating material. The ring has a... Problem 77AP: A thin, nonconducting disk of radius R is free to rotate around the axis that passes through its... Problem 78AP: Consider the disk in the previous problem. Calculate tlie magnetic field at a point on its central... Problem 79AP: Consider the axial magnetic field Bv=0IR2/2(y2+R2)3/2 of the circular current loop shown below. (a)... Problem 80AP: The current density in the long, cylindrical wire shown in the accompanying figure varies with... Problem 81AP: A long, straight, cylindrical conductor contains a cylindrical cavity whose axis is displaced by n... Problem 82AP: Between the two ends of a horseshoe magnet the field is uniform as shown in the diagram. As you move... Problem 83AP: Show that the magnetic field of a thin wire and that of a current loop are zero if you are... Problem 84AP: An Ampere loop is chosen as shown by dashed lines for a parallel constant magnetic field as shown by... Problem 85AP: , A ray long, thick, cylindrical wire of radius R carries a current density J that varies across its... Problem 86AP: A very long, cylindrical wire of radius a has a circular hole of radius b in it at a distance d from... Problem 87AP: Magnetic field inside a torus. Consider a torus of rectangular cross-section with inner radius a and... Problem 88AP: Two long coaxial copper tubes, each of length L, are connected to a battery of voltage V. The inner... Problem 89CP: The accompanying figure shows a flat, infinitely long sheet of width a that carries a current I... Problem 90CP: A hypothetical current flowing in the z-direction creates the field B=C[(x/y2)i+(1/y)j] in the... Problem 91CP: A nonconducting hard rubber circular disk of radius R is painted with a uniform surface charge... Problem 45P: A long, straight wire of radius R caries a current I that is distributed uniformly over the...
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It carries a uniformly distributed total charge q on a circular ring of radius R. The ring rotates with constant angular velocity ω about an axis passing through its center and perpendicular to its surface.
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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