Answered: In empty space (er = 1), the region x1

Engineering

Electrical Engineering

In empty space (er = 1), the region x1

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter16: Inductance In Ac Circuits

Section: Chapter Questions

Problem 1PP: Inductive Circuits Fill in all the missing values. Refer to the following formulas:...

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Concept explainers

Spherical Coordinate System

The spherical coordinate system is a three-dimensional coordinate system for space where the position of a point is specified by three numbers- the radial distance of that point from a fixed source, its polar angle measured from a certain zenith, and the azimuth angle. Its orthogonal projection on the reference plane passes through the source and is measured from the direction of constant reference on that plane which is orthogonal to the highest level. It can be viewed as a three-dimensional version of the polar coordinate system.

Question

In empty space (e_r = 1), the region x₁ <x <x₂ is filled with material with a dielectric coefficient e_r = 4 as a planar infinitely large plate. The geometry is shown in the figure below. Pay attention to the coordinate system placement.
Region I: In (x <x1), the electric field vector is observed as E₁ = (- 0.5) u_x + (5.5) u_y + (-1.5) u_z.
Region II : By determining (x₁ <x <x₂) value e_r = 4 electric field E₂,
|E₂|,write its value numerically.

Boş uzayda (E,=1). X1<x<x2 bölgesi düzlemsel olarak sonsuz büyük bir plaka olarak s,=7 dielektrik katsayısına sahip malzeme ile doludur. Aşağıdaki şekilde geometri gösterilmiştir. Kordinat sistemi yerleşimine
dikkat ediniz.
E,
L. Bölge: (x<x1) de elektrik alan vektörü E, =(6.5) ủ, + (0.5) ủ, + (7.5) i, olarak gözlemlenmiştir.
II. Bölge: (x1 <x<x2) de bağıl dielektrik sabiti s,=7 dır.
III. Bölge: (x2<x) de (boşluk s,=1) elektrik alan E, belirleyerek [E| değerini sayısal olarak yazınız.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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