1- For a homogeneous, isotropic, nonmagnetic medium of conductivity g. in which there are steady currents, show that B satisfies the vector Laplace equation V'B = 0.
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- 1A cylindric mica insulator to be used between a 100 kV DC line and ground has a diameter of 5 cm. The insulator is expected to prevent currents of more than 1 nA^1 . Find the minimum required length of the porcelain cylinder.Two long thin conducting tubes are concentric with each other. The outer tube has a radius R and has a current I while the inner tube has a radius R/4. To cancel the field at points r > R, the inner tube must have a current a.) running parallel to I of magnitude I/4 b.) running parallel to I of magnitude I c.) running antiparallel to I of magnitude 1/4 d.) running antiparallel to I of magnitude I
- 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?18 O The circuit in Fig. 32-31 consists of switch S, a 12.0 V ideal battery, a 20.0 MN resistor, and an air-filled capa- citor. The capacitor has parallel circular plates of radius 5.00 cm, separated by 3.00 mm. At time t= 0, switch S is closed to begin charging the capacitor, Figure 32-31 Problem 18. The electric field between the plates is uniform. At t= 250 us, what is the magnitude of the magnetic field within the capacitor, at radial distance 3.00 cm? wwFigure 8 shows a coaxial cable (two nested cylinders) of length l, inner radius a and outer radius b. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder is charged to −Q. The cable carries a current I, which flows clockwise. Use Ampere’s Law to calculate themagnetic field B⃗ at r<a, a<r<b, and r>b.