5. When electric current flows through a wire, a magnetic field is ereated such that the magnetic field lines are orthogonal to the wire. For a wire pointing along the z-axis with electric current I, the magnetic field B points tangent to every cirele centered at the wire. In other words, the flow curves of B are circles surrounding the wire, as pictured below. In addition, the magnetic field E is constant on each circle. The integral form of Ampére's law states that B- dř = Hol where C is any closed curve and to is a constant (the permeability of free space... whatever that means. I'll leave that to the physicists to explain). Show that the magnitude of B on any circle of radius r is given by Hol || 2r

5. When electric current flows through a wire, a magnetic field is ereated such that the magnetic field lines are orthogonal to the wire. For a wire pointing along the z-axis with electric current I, the magnetic field B points tangent to every cirele centered at the wire. In other words, the flow curves of B are circles surrounding the wire, as pictured below. In addition, the magnetic field E is constant on each circle. The integral form of Ampére's law states that B- dř = Hol where C is any closed curve and to is a constant (the permeability of free space... whatever that means. I'll leave that to the physicists to explain). Show that the magnitude of B on any circle of radius r is given by Hol || 2r