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... format_list_bulleted