How to do ? Conducting spherical shells with radius a = 10cm and b = 30 cm are maintained at a potentialdifference of 100 V such that V(r = b) = 0 and V[r condifam= a) = 100 V. Determine V and E in the regionbetween the shells. If ɛ, = 2.5 in the region,determine the total charge induced on the shellsand the capacitance of the capacitor.%3D%3D%3D

According to the question we need to calculate the value of the capacitance of the capacitor.

Conducting spherical shells with radius a = 10 cm and b = 30 cm are maintained at a potential difference of 100 V such that V(r = b) = 0 and V(r = a) = 100 V. Determine V and E in the region between the shells. If ɛ, = 2.5 in the region, determine the total charge induced on the shells and the capacitance of the capacitor. %3D %3D Cond %3D

Conducting spherical shells with radius a = 10 cm and b = 30 cm are maintained at a potential difference of 100 V such that V(r = b) = 0 and V(r = a) = 100 V. Determine V and E in the region between the shells. If ɛ, = 2.5 in the region, determine the total charge induced on the shells and the capacitance of the capacitor. %3D %3D Cond %3D

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 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.
Two coaxial conducting cylinders are located at ρ = 2 cm and ρ = 4 cm in free space and have a length of 100 m. The region between the cylinders contains a layer of dielectric from ρ = 2 cm to ρ = 3.69 cm with εr = 2. The capacitance in nF is?
Spherical surfaces at r = 1, 3, and 6 m carry uniform surface charge densities of 20 nC/m2, −4 nC/m2, and ρS0, respectively. Find D at r = 0.5, 2, 5, and 7 m.
Coaxial conducting cylinders are located at ? = 0.5 cm and ? = 1.2 cm. The region betweenthe cylinders is filled with a homogeneous perfect dielectric. If the inner cylinder is at 100 V and the outer is at 0V, find(a) the location of the 10 V equipotential surface;(b) the maximum value of electric field ( ????? );(c) the dielectric constant of the medium (??), if the charge per meter length on theinner cylinder is 10 nC/m.
Volume charge density is located in free space as ρν = 2e−100r nC/m3 for 0 < r < 3 mm, and ρν = 0 elsewhere. Find the total charge enclosed by the spherical surface r = 2 mm. By using Gauss’s law, calculate the value of Dr on the surface r = 2 mm.
with radius a with total charge Q. Find the potential and electric field of a homogeneously charged disk at (0,0,Z) using the DIRAC-DELTA function.
Find the relative permittivity of the dielectric material present in a parallel-plate capacitor if the surface area of the conducting plates is 0.25 square meters, the separation d between them is 0.2 mm, and the potential difference between the plates is 12 V given that the capacitor stores 2 microjoules of energy
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]
A 20-nC point charge is at the origin in free space. Calculate V1 if pointP1 is located at P1(2, 3,−1) and V = 0 at (6, 5, 4).
6. If D=3y²a, + 3x²ya, + 5a, C/m², find the total charge enclosed within the region 0 < x,y,z <2 by evaluating one or more surface integrals.
An infinite length cylinder of radius b extending along the Z-axis and carrying auniform volumetric current density J= az J, a cylindrical cavity of radius ? ismade along the entire length of the cylinder such that its axis is displaced adistance ? from the axis of the main cylinder, as shown in the figure.Use superposition (by handling the cavity as a cylinder carrying current –Jsuperimposed on the main current J that fill the entire cross section) to findthe magnetic flux density inside the cavity
Calculate the electric field intensity E at M(3, -4, 2) in free space caused by: a. Charge Q1 = 2 µC at P1(0, 0, 0) b. Charge Q2 = 3 µC at P2(-1, 2, 3) c. Charge Q3 = 4 µC at P3(-3, -2, 4) d. The total field intensity of the 3 charges ( please provide complete solutions, thank you )