2) Vo voltage is applied to the metal parallel plate capacitor system given in the figure. The region between the plates is filled with dielectric material of &-2.4. Bottom plate grounded and d-2mm in the z-axis of the top plate when placed at z=0 are within distance. For tension in the interplate region boundary conditions: If V(z)-0 volts for z-0 and V(z)-Vo volts for z-d; a) Potential expression in the interplate region V=? b) Electric field strength E-? c) Electric flux density D-? d) Surface charge den sities of the plates p.=?

2) Vo voltage is applied to the metal parallel plate capacitor system given in the figure. The region between the plates is filled with dielectric material of &-2.4. Bottom plate grounded and d-2mm in the z-axis of the top plate when placed at z=0 are within distance. For tension in the interplate region boundary conditions: If V(z)-0 volts for z-0 and V(z)-Vo volts for z-d; a) Potential expression in the interplate region V=? b) Electric field strength E-? c) Electric flux density D-? d) Surface charge den sities of the plates p.=?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

High Voltage Technique For the most puncture-related arrangement of a concentric spherical electrode system with a voltage of 100 kV to be applied between the electrodes and with Ed=80 kV/cm (insulator puncture strength), Emax = 0.6. Ed a) Inner and outer sphere radii, b) Maximum and minimum field strengths, c) Equivalent electrode opening and utilization factor, d) Its capacity (Ɛ0=8,854x10-12 F/m, Ɛr=1) and insulator volume, e) By keeping the outer sphere radius constant, calculate the inner sphere radius value range that can be used in the system without discharge. ANSWERS: a) r1=4.16 cm, r2=8.32 cm b) Emax=48 kV/cm, Emin=12 kV/cm c) α=2.08 cm, η=0.5 d) C=9.257 pF, Vinsulator=2110 cm3 e)1.53<r1<6.8 cm
a long straight cylindrical wire of radius r meter, in a medium of permittivity e is parallel to a horizontal plane conducting sheet. The axis of the wire is it expr metres above the sheet (a) Derive an expression of the capacitance per unit length between the wire and the sheet (b) If r = 0.3 x 10-2 m, h.= 0.12 m find the capacitance per metre length (c) If the potential difference betweenthe wire and sheet is 5 kV, find the magnitude and direction of electric stress in the medium at theupper surface of the sheet at a distance 20 cm from the axis of the wire. Take e = 1/36π x 10-9 F/m [(a) C = 2πe/ln 2h - r/r F/m (b) 0.0127 x 10-9 F/rn (c) 6.85 kV/m acting vertically downward]
The structure in the figure has 4 concentric spherical media,which have;0<r<a free spacea<r<b ρv (C/m3) constant volume charge densityb<r<c εr relative permittivityc<r free spaceFind ?⃗ , ?⃗ and ?⃗ in these 4 regions and also plot them
Design a uniformly-stressed coaxial cylindrical electrode system using threedifferent insulating materials with relative dielectric constants 2.5, 4, and 6(determine the layer thicknesses for the inner and outer radiuses of case-a).Calculate the maximum field strength of the layers for a test voltage of U = 200 kV.
Determine the capacitance of: (a) a 1-ft length of 35B/U coaxial cable,which has an inner conductor 0.1045 in. in diameter, a polyethylene dielectric(r = 2.26 from Table C.1), and an outer conductor that has an inner diameter of0.680 in.; (b) a conducting sphere of radius 2.5 mm, covered with a polyethylenelayer 2 mm thick, surrounded by a conducting sphere of radius 4.5 mm; (c) tworectangular conducting plates, 1 cm by 4 cm, with negligible thickness, betweenwhich are three sheets of dielectric, each 1 cm by 4 cm, and 0.1 mm thick, havingdielectric constants of 1.5, 2.5, and 6.
An infinite line charge with a liner charge density of λ with a potential difference Vab wherein the points of a and b is ra and rb distances away from the situated line charge. Derive Vab.
In free space, q1= 3nC and q2= -4nC are located in the form of load axes, as well as at the base y=1 and y=6 on the y-new. Accordingly, how many volts is the electric potential value at the origin?
It is viewed from the cross-section of a coaxial cable consisting of a cylindrical conductive tube with an internal radius R and an outer radius of Rz wrapped around a cylindrical conductive wire with a RADIUS of R. r to indicate the radial distance from the center, the inner cylindrical conductor,if it is j1 = Gr and the outer conductive tube, j2 = Car has improper current densities. Here, the two conductors carry the same I flow in zit directions. What is the size of the B2 magnetic fields at r=1 cm and B2 at r= 8 cm?(R=4 cm; R=7 cm, R3=9 cm; Io=2 A; uo=47.10-7 T.m/A and our aquani-positive forehead outward from the page plane).
An infinite line charge with a liner charge density of λ. The potential difference Vab where points a and b are ra and rb distances away from the line charges respectively, is given by the equation? (Derive Vab)
In a three layered, cylindrical electrode system, 100 kV is applied to the inner conductorwhile the outer conductor is grounded. Radii of cylinders in this system are: r1 =1 cm, r2 =1.5cm, r3 =3 cm, and R =5 cm. Relative dielectric constants of layers are r1 = 5, r2 = 3 and r3 =2.5 respectively;a) Calculate maximum and minimum field strengths across each layer.b) If R=5 cm and r3 =4.5 cm, for uniformly stress condition find the new values of r1 and r2and the thickness of each layer.
Given a coaxial capacitor with the length of L which has two coaxial conductors with radius a=1 cm and b= 4 cm for inner and outer conductor, respectively. The inner conductor carries the total charge of –Q C whilst the outer carries +Q C. If the length of the coaxial, L = 100m and the coaxial is filled with the lossy Teflon (εr = 2.2 and σ = 4 Sm-1), determine: i. Potential Different between r = 3cm and r = 6cm ii. Energy in region a<r<b Note: In dielectric material, permittivity ε=εoεr and D=εE
Please write to text format The charge per unit length on the thin rod shown below is ?. What is the electric field at the point P? (Hint: Solve this problem by first considering the electric field dE at P due to a small segment dx of the rod, which contains charge dq = ? dx. Then find the net field by integrating dE over the length of the rod. Use the following as necessary: L, a, ?, and ?0. Enter the magnitude. Assume that ? is positive.) E