Find the total charge lying within the cylinder, p = 3,-2 ≤ z ≤ 2, if Ď =:20 z1(a)p |z|(b) 5z² sin() āp [C/m²].Ans.: (a) 754 [C] (b) 320 [C].āz [C/m²].

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Find the total charge lying within the cylinder, p = 3, ,-2 ≤ z ≤ 2, if Ď =: 20 Z (b) 5z² sind) āp [C/m²]. (a) āz [C/m²]. p|z| Ans.: (a) 754 [C] (b) 320 [C].

Introductory Circuit Analysis (13th Edition)

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ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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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

Find the total charge lying within the cylinder, p = 3,-2 ≤ z ≤ 2, if Ď =:
20 z
1
(a)
p |z|
(b) 5z² sin() āp [C/m²].
Ans.: (a) 754 [C] (b) 320 [C].
āz [C/m²].

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Step 1: State the given data

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Step 2: Writing the differential surfaces in cylindrical coordinates

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Step 3: a) Finding the charge on the surface p=3 & z=2.

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Step 4: Finding the charge on surface z=-2 & total charge.

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Step 5: b) Finding the charge on surface z=+2,-2.

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Step 6: Finding the charge on surface p= 3 and total charge

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