Summary AP Physics C: E&M - OpenStax University Physics Volume 2, Chapter 12 Problems 23, 25, 31, 35, 37, 43, 47, 49

AP Physics C: Electricity and Magnetism. OpenStax University Physics Volume 2, Chapter 12 Problems 23, 25, 31, 35, 37, 43, 47, 49 with Answers and Work. 23. The magnitude of the magnetic field 50 cm from a long, thin, straight wire is 8.0μT. What is the current through the long wire? 25. A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in a uniform magnetic field of magnitude 4.0×10−5T that is directed vertically downward, what is the resultant magnitude of the magnetic field 20 cm above the wire? 20 cm below the wire? 31. Two long, straight wires are parallel and 10 cm apart. One carries a current of 2.0 A, the other a current of 5.0 A. (a) If the two currents flow in opposite directions, what is the magnitude and direction of the force per unit length of one wire on the other? (b) What is the magnitude and direction of the force per unit length if the currents flow in the same direction? 35. When the current through a circular loop is 6.0 A, the magnetic field at its center is 2.0×10−4T. What is the radius of the loop? 37. A flat, circular loop has 20 turns. The radius of the loop is 10.0 cm and the current through the wire is 0.50 A. Determine the magnitude of the magnetic field at the center of the loop. 43. The coil whose lengthwise cross section is shown in the accompanying figure carries a current I and has N evenly spaced turns distributed along the length l. Evaluate ∮B⃗ ⋅dl⃗ for the paths indicated. 47. A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed uniformly over its cross-section. Plot the magnetic field as a function of the radial distance r from the center of the conductor. 49. A solenoid is wound with 2000 turns per meter. When the current is 5.2 A, what is the magnetic field within the solenoid?