Texts: SCIENCE AND HUMANITIES COLLEGE JUBAIL PHYSICS
PHRE307-HW-2
A.U: 2022/2023 TERM 3
Exercise 1: A steady current I passes through a conducting wire in the form of a closed path composed of two half-circles with radius R and 2R, related by two straight segments AB and CD as shown in the following figure. Determine the magnetic field Bo at the center O as a function of I, R, and by applying the Biot-Savart law.
Exercise 2: An infinite solenoid composed of N turns and containing many coils as given in the following figure. The internal radius of the solenoid is R and its external radius is R. By applying the Ampere's law and if you know that the current in each turn is I and that the external magnetic field is equal to zero:
1. Determine the magnetic field at a point M internal to the solenoid (r < R, with r representing the distance of the point M from the axis). What do you conclude?
2. Determine the magnetic field at a point M situated between the coils of the solenoid (R < r < R), with r representing the distance of the point M from the axis.