The outer radius of a concentric spherical electrode system is r2= 25 cm = constant. The systemis dimensioned with regard to the optimum breakdown case. There is an insulator gas in betweenspheres with a breakdown strength of E, = 25 kV/cm (the relative dielectric constant of gases isEr = 1).a. Determine the capacitance and maximum voltage that can be applied for this system.b. Determine maximum and minimum electric field strength if the applied voltage is U =100 kV.Determine the actual electrode separation, d; effective electrode separation, a andutilization factor, n for this electrode system (ɛo = 8.854 × 10-12 F/m).с.

Given Eb = 25 kV r2= 25 cm εr = 1

The outer radius of a concentric spherical electrode system is r, = 25 cm = constant. The system is dimensioned with regard to the optimum breakdown case. There is an insulator gas in between spheres with a breakdown strength of E, Er = 1). 25 kV/cm (the relative dielectric constant of gases is %3| Determine the capacitance and maximum voltage that can be applied for this system. b. Determine maximum and minimum electric field strength if the applied voltage is U = 100 kV. а. Determine the actual electrode separation, d; effective electrode separation, a and utilization factor, ŋ for this electrode system (ɛo с. 8.854 × 10-12 F/m).

The outer radius of a concentric spherical electrode system is r, = 25 cm = constant. The system is dimensioned with regard to the optimum breakdown case. There is an insulator gas in between spheres with a breakdown strength of E, Er = 1). 25 kV/cm (the relative dielectric constant of gases is %3| Determine the capacitance and maximum voltage that can be applied for this system. b. Determine maximum and minimum electric field strength if the applied voltage is U = 100 kV. а. Determine the actual electrode separation, d; effective electrode separation, a and utilization factor, ŋ for this electrode system (ɛo с. 8.854 × 10-12 F/m).

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

A parallel plate capacitor of width W, length L, and separation d has a solid dielectric slab of permittivity ?(?) as shown in the figure. A potential difference ?? Volts is applied to the capacitor terminals. Neglecting fringing, fori. ?(?) = ?0ii. ?(?) = ?0??Determine;a) The electric field intensity ?⃗ ,b) The displacement vector ?⃗ ,c) The capacitance ?,d) The stored electrostatic energy ??e) Magnitude and the direction of the force acting on the slab ??⃗⃗⃗⃗
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]
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.
2.- A cylindrical capacitor of 1 m high and 1 m diameter, is previously empty between its two conducting elements.At the beginning, this cylindrical capacitor is connected to a 12 volt battery. Subsequently, it is disconnected from the battery and the vacuum between its conductive elements is filled with a dielectric material whose dielectric constant is 6. The radius of the central inner conductor element is 30 cm and the inner radius of the outer conductor element is 40 cm. a) What is the value of the capacitance and the charge before and after inserting the dielectric material? b) How much is the potential difference between its conducting elements before and after inserting the dielectric material? c) How much is the electric field before and after inserting the dielectric at 35 cm from the center of the capacitor? Important note: Use the approximation of Gauss's law for electric fields. You have to make the drawing.
In a concentric spherical electrode system, the outer radius is 7 cm and the voltage is 100 kV and is constant. Find the maximum electric field for the value 3.5 of the geometric characteristic. Does puncture occur? What type is it. (Ed=65 kV/cm)
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.
In a concentric spherical electrode system with outer sphere radius r2= 28 cm, the insulator is air in between, and the puncture field strength is Ed= 30 kV/cm. The puncture strength and outer sphere diameter are constant. Accordingly, determine the limit values of the inner sphere radius so that there is no discharge when 125 kV is applied to the system.
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
The inner conductor of a long coaxial cable has radius a. The inner radius of the outer conductor is b. Inner conductor V0, outer conductor at 0 potential. Determine the electric potential and electric field strength in the insulating material.
The region between the conductors of a coaxial cable with inner conductor radius a=2m and outer conductor radius b=3m is filled with a material with dielectric constant E. If the charge per unit length of the inner conductor is q, which of the following is the capacitance of the unit length of the coaxial cable.
A conducting cylinder with a radius of 1 cm and at a potential of 20 V is parallel toa conducting plane which is at zero potential. The plane is 5 cm distant from thecylinder axis. If the conductors are embedded in a perfect dielectric for which ?* =4.5, find:(a) the capacitance per unit length between cylinder and plane;(b) ?# R4S on the cylinder.