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In free space, there is a point charge
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Fundamentals of Electromagnetics with Engineering Applications
- A point charge O-2000pc. is at the origin of spherical coordinates. A concentric spherical distribution of charge at r=Im has a charge density ps=40rt pCim2. What surface charge density on a concentric shell at r =2m would result in D=0 for r> 2m. O 71.2 pC/m'2 - 100.5 pC/m'2 O 100.5 pC/m2 O 71.2 pC/m'2arrow_forwardA coaxial cable has a 10 – mm diameter inside conductor and a metallic sheath with an inside diameter of 20 mm. if the insulating medium has a dielectric constant, k = 2, and a permittivity of 1.113 x 10-10 . What is the capacitance between the conductor and the shield per km? a. 0.1605 uF /kmb. 0.8036 uF /kmc. 0.0803 uF /kmd. 0.403 uF/kmarrow_forwardA uniform line charge density of 20nC lies on the z-axisbetween z=0.5 and z=2.5 m. No other charge is present. Find E at a) the origin.arrow_forward
- Fill in the blank. Given the electric field E = 3xaz - 3yay V/m, find the work done in moving a point charge Q = +2C from (2.0,0) to (0,0.0) and then from (0.0.0) to (0,5.0). Hint: Use W -Q[E.dl.w=arrow_forward5. The cylindrical surface p = 6 cm contains the surface charge density p₁ = 10e-10lzl nC/m². a.) What is the total amount of charge present?arrow_forwardBoundary Conditions Two planar slabs of equal thickness but with different dielectric constants are shown inFigure. Eo in air makes an angle of 30° with the z-axis. Calculate the angle that E makes with the z-axis in each of the two dielectric layers.arrow_forward
- As6arrow_forwardA uniform line charge lies along the y axis with charge density p = 30C. Obtain D at (4,4, 3)m. %3D marrow_forwarda. There's only an ax component b. There's only an ax and ay component y c. There's only an - ax component d. There's only an - ax and ay component e. None of the above 2 C/m 13. For the figure above, a half ring located at z = 0 possesses a charge density and induces E onto a point located at the origin. The following can be determined about E induced at the origin. (select only one) Xarrow_forward
- e: A uniform line charge of pL = 3µ C/m lies along the z axis, and a concentric circular -1.5 : µC/m. Both distributions are infinite in extent cylinder of radius 2 m has p5 4T with z. Use Gauss's law to find D in all regions?arrow_forwardi need the answer quicklyarrow_forwardThe space between the conductor plates of a paralel plate capacitor is designed with three slabs of linear dielectric material. Slab 1 has a dielectric constant ɛɛ, = 4.9, the second slab has a dielectric constant of ɛ, = 5.6, and finally the third slab has a dielectric constant of ɛz = 2.1. The free charge density on the top plate is o and on the bottom plate is - o. (a) Find the electric diplacement D in each slab. (b) Find the electric field E in each slab. (c) Calculate the potential difference between slabs and equivalent capacitance. |d/2arrow_forward
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