Consider the relationship of the calculation v x V × Fdv = f da × F, where S is the surface of volume V. From it find a relationship between the material currents of volume Jb and surface Kb of a magnetized medium that occupies a volume V.
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![Consider the relationship of the calculation
7 x Fdv
da x F,
where S is the surface of volume V. From it find a relationship between the material currents of volume Jb and
surface Kb of a magnetized medium that occupies a volume V.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65694bfc-e620-4a4d-a121-bcb6e5060fb0%2F1bf9dd35-c095-419f-a3a2-1c1950f176a9%2Flsh5qmf_processed.jpeg&w=3840&q=75)
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- A pipe of cross-sectional area 0.4 m2 carries molten gold flowing at a speed of 2.5 m/s. What is the current through the pipe?A long rod, radius R, that has uniform positive charge density p is spun around its central axis with angular velocity w, as shown below, so that the charges follow circular paths centered on the axis. Current is the flow of charge, so we have rings of current of varying radius r. You may want to review the following relationships: Current density J = dI/dA = pv (from chapter 24!) and v=wr (from PHY 204!) This means that the rotating rod of charge is equivalent to a non-uniform current density J = pwr, where the current is circulating around the axis and r is the radial distance from the axis. Note this has the same symmetry as the solenoid (current flowing in circles, field lines straight and parallel to the axis). The difference is that this is like having many nested solenoids, and as we head out from the axis, we see more and more current. R I will walk you through the steps for using Ampere's law to find the magnetic field inside the rod. (a) Draw a diagram of a cross section of…Let's take a current-carrying cable with a gradually narrowing cross-sectional area along the length of the wire so the wire turns into the shape of a very long, truncated cone. How does the drift speed (vd) vary along the length of the wire? It speeds up with the length or vd first increases and then goes down after it reaches to a critical value.or It slows down with the length of the cable or vd remains the same regardless the cross section of the cable.
- A wire of circular cross-section carries current density that is not uniform but varies with distance from the center as j(r)=j0(1-(r/R)2), for radius r in the range 0 < r < R. Here, j0 is a constant with units amperes per square meter, and the radius of the wire is R = 0.49 mm. A) Find an expression for the current enclosed in a cylinder with a radius of r < R. B) If the total current in the wire is I, find an expression for the constant j0, in terms of the other variables in the problem. C) If the total current is 1.5 A, what is the constant j0, in amperes per square meter? D) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. E) Find an expression for the magnetic field outside of the wire, for r > R. F) For what r, in meters, is the current enclosed maximum? G) What is the maximum value of the enclosed current, in amperes? H) For what r, in meters, is the magnetic field maximized? I) What is the maximum value of…A metallic sheet lies on the xy plane, carries a surface current density K = Ho where μo is the permeability of free space. The B-field just below the sheet is given as B = 2î + 4ĵ + 5k. The questions on this page are based on this scenario. -Ĵ, What is the z-component of the B-field just above the sheet?