Find the flux crossing the portion of the plane =21/4 defined by 0.043m < r < 0.06m and 0 < z < 2m in free space. A current filament of 5 A is along the z axis in the a, direction.
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- What must be the magnitude of a uniform electric field if it is to have the same energy density as that possessed by a 0.50 Tmagnetic field? (V/m)A 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.(5) Current is flowing through a cylindrical copper wire with radius 6.33mm and length 92.1cm. This wire is hooked up to two capacitors in series C1 The capacitors both have cross sectional areas of A = 179cm2. (a) At a given moment in time, the current is I electrons is vd = 9.42µF and C2 = 8.11µF. = 77.97A and the drift velocity of the 45.6µm/s. What is the number density of electrons in this wire? (b) At a given moment in time, the charge on capacitor 2 is 62.6µC. What is the total change in potential across both capacitors combined? | (c) At the moment described in part (b), what is the energy stored in capacitor 2? (d) At the moment described in part (b), what is the energy density of the electric field in capacitor 2? :
- 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?A coaxial cable consists of a solid inner conductor of radius R₁, surrounded by a concentric cylindrical tube of inner radius R₂ and outer radius R3. The inner conductor carries a current density J₁, given by r ≤ R₁, r > R₁, where Io is a constant not necessarily equal to the total current in the inner conductor. The outer conductor has a total current 12 uniformly distributed across its cross-section going in the direction opposite of J₁. (a) (c) (d) (e) 1 R R₂)? R2 r -{(5) TR² R₁ 0, J₁ J₁ = R3 What is the magnitude of the magnetic field inside of the inner conductor (r R3)? if we wanted to ensure that there is no magnetic field outside of the cable, what must the value of Io be?Parallel conducting plates create nearly uniform fields that are used to accelerate and direct beams of electrons. Typically we would free the electrons from a surface by heating it up. One way is to run a current through a wire with resistance. The power dissipated in the wire causes it to increase its temperature to the point that it can radiate that power away, mostly carried off as light. The hot electrons escape the potential barrier at the surface and are "free" to use. Consider a source of electrons that is small, like a tiny hot filament. The electrons are freed from the surface but the positive charge they leave behind holds them in a cloud near the filament. Now we add another plate at voltage VV some distance dd away. We put a little hole in that plate to enable the electrons to zip on through. The experiment looks something like this. While they seem antiquated, the concept is still useful. It is the basis of modern X-ray tubes, and until only a few years ago all…