Q2: The region x<0 contains a dielectric material for which &,1 = 2 while the region x > 0 is characterized by&r2 = 3 let E₁ = 10 ax +20 ay +10az. Find E2,01,02 and P2.
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- The relative dielectric coefficient of the planar electrode system given in the figure is Er = Er0 n. It changes linearly according to the x relation. Ero == 8,3 for this electrode system; n = 1.7 cm and the gap between the electrodes is given as a = 3 cm. 28 kV direct voltage is applied to this planar electrode system, so find the amplitude of the electric field strength at the point A (2.5cm, 3cm). (Edge effects will be neglected, electrode length b <15 cm)intertwined as shown in the figure, region dielectric constant between two coaxial cylinders filled with a material with ε=2ε0. a=2cm above the 10cm radius cylinder Q=5C It has been observed that there is an electrical charge of 5C The cylinder with a radius of b=4cm is grounded. Find the potential function in the region between the cylinders??3.(Part I) A 50 V voltage generator at 20 MHz is connected to the plates of an air dielectric parallel-plate capacitor with a plate area of 2.8 cm^2 and a separation distance of 0.2 mm. Find the maximum value of displacement current density and displacement current. (Part II) A dielectric material with permeability that of free space, permittivity = 9xpermittivity of free space, conductivity = 4 S/m, is placed between the plates of a parallel-plate capacitor. Calculate the frequency at which the conduction and displacement currents are equal.
- The relative dielectric coefficient of the planar electrode system given in the figure is Er = Er0 - n. It changes linearly according to the x relation. Er0 = 7.2 for this electrode system; n = 1.8 cm ^ -1 and the gap between electrodes is given as a = 3 cm. 26 kV direct voltage is applied to this planar electrode system, so find the amplitude of the electric field strength at point A (2.7cm, 3cm). (Edge effects will be neglected, electrode length b <15 cm) y 4 a (cm) -> electrode electrode" A sheet charge, ρS = 4 nanoC/m2 is present at the plane x = 4m in free space. Find the electric field intensity E in N/C at T(3, 5, -4) ." QUICKLY AND NO SHORTCUTS PLEASE7-Two materials with thicknesses and dielectric constant d, = 3cm, K, = 3 and d2 = 4cm, K2 = 4 are placed between two conductive parallel plates with surface area A = 1m². Find the charge induced on the surface of the insulator with a dielectric constant, K = 9x10-12 () 3, since the potential factor V = 20V is applied to the conductor plates. E, = Nm
- Consider region 1 (z<0) contains a dielectric for which ϵr=2.5, and region 2 (z>0) is characterized by ϵr=4 .Let E1=−30ax+50ay+70az V/m. The D2 is given byFind V at P (2,1,3) for the field of two co-axial conducting cones, with V=50 V at θ =30º and V=20V at θ =50°Example 2.24) In the two-layer uniformly varying field electrode system separated by the X=0 plane, the amplitude of the electric field vector in the first layer is 80kV/cm and the angle it makes with the perpendicular component is 〖20〗^0. Since the relative electric constants of the layers are 4 and 2, respectively, calculate the tangential component of the electric field in the second layer.
- The outer radius of a coaxial cylindrical electrode system is given in 32 cm. The system is the most suitable sized according to puncture. Penetration of the insulator between the cylindrical layers Its strength is Ed = 72 kV / cm and the relative dielectric constant of the insulator is Er1 = 52 c) -Calculate the actual distance (d) of the system, the utilization factor (n) of the electrode aperture (alpha)? (E0 = 8,854x10-12 F / m)In a spherical electrode system, gas material with the most favorable arrangement in terms of puncture resistance, outer radius r2 = 3.2 cm, puncture field strength Ed=75kV/cm and dielectric constant Ergas=1 is used. According to this;a) Calculate the inner radius of the electrode and the puncture voltage of the system according to the geometrical characteristics of the most suitable arrangement in terms of puncture resistance.b) Draw the puncture curve in the p-Emax plane for a voltage of U=40kV provided the outer radius is kept constant and indicate the boundaries of the inner sphere radii on the curve.c) Briefly interpret the electrode system in terms of discharge events in the geometric characteristics of p=0.8, p=1.8 and p=5 on the puncture curve.A point charge, QA = 1μC is at A(0, 0, 1), and QB = −1μC is at B(0, 0, −1).Find Er, Eθ and E∅ at P(2, 3, 1).