2. A long solenoid carrying a time-dependent current I(t) is wound on a hollow cylinder whose axis of symmetry is the z-axis. The solenoid's radius is a, and it has n turns per metre. (a) * Write down the magnetic intensity H(ที่ t) and magnetic field B(r,t) everywhere. What is the energy density in the magnetic field inside the solenoid? (b Find the electric field E(F,t) everywhere using Faraday's law in integral form. (c) * Find the magnetic vector potential...
AL- Example 2-5: A solid circular steel cylinder S is encased in a hollow circular copper tube C. The cylinder and tube are compressed between two rigid plates of a testing machine by compressive forces P· The steel cylinder has cross- sectional area As, and modulus of elasticity Es 200-GPa the copper tube has area Ac and modulus of elasticity Ec-115-GPa, and both parts have length L For P-500-kN the shown table of values for As, Ac, and L determine...
4) A very LONG hollow cylindrical conducting shell (in electrostatic equilibrium) has an inner radius R1 and an outer radius R2 with a total charge -5Q distributed uniformly on its surfaces. Asume the length of the hollow conducting cylinder is "L" and L>R1 and L>> R2 The inside of the hollow cylindrical conducting shell (r < R1) is filled with nonconducting gel with a total charge QGEL distributed as ρ-Po*r' ( where po through out the N'L.Rİ volume a) Find...
Problem 13: An electric current is flowing through a long cylindrical conductor with radius a = 0.75 m The current density J=4.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. Part (a) When r is less than a, express the current inside the imaginary cylinder I, in terms of r and J. Expression: Select from the variables below to write your expression. Note that all variables may not be required. α,...