1. Section 5.6 in the book refers to the Magnetic Vector Potential. The magnetic vector potential, 3, can be defined to simplify the calculation of the magnetic field. We used a similar approach when discussing electrostatics. In chapter 3, we defined the electric potential, V, that was related to the electric field as E" = VV. Now, by dening the magnetic vector potential, 3, we can determine the magnetic ux density by using E = V x K. This can simplify some problems by avoiding having to use the Biot-Savart equation. Your task for this rst question is simple: Read section 5.6 of the book about magnetic vector potentials (p.194-196). Understand example 5.9. Finally, when you submit your assignment, write down an expression for If, as it is presented in this section. 2. The region of space I 0 (region 2) is air with permeability #0- In the x 25? + 502 (A/m). There is no free current on the interface at x = 0. 3. Find the magnetic field intensity Tilin region 1 (ms 0). b. State the normal and tangential components of iii c. Find the magnetic field intensity 32in region 2 (x) 0). 3. Imagine a solenoid that has a current-carrying wire wrapped around an object with a square cross-section. This solenoid has 150 windings. The sides of the square cross-section of sides 50 cm. You can assume that the diameter of the wire is negligible. This solenoid is exposed to a uniform external eld of || = 5 T. When the direction of this magnetic flux density makes an angle of 15 degrees with respect to the plane of the solenoid, the measured torque is 60 Newton-Metre. What is the current flowing through this solenoid