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A point charge O-2000pc. is at the origin of spherical coordinates. A concentric spherical distribution of charge at r=Im has a charge density ps=40rt pCim2. What surface charge density on a concentric shell at r =2m would result in D=0 for r> 2m. O 71.2 pC/m'2 - 100.5 pC/m'2 O 100.5 pC/m2 O 71.2 pC/m'2

A point charge O-2000pc. is at the origin of spherical coordinates. A concentric spherical distribution of charge at r=Im has a charge density ps=40rt pCim2. What surface charge density on a concentric shell at r =2m would result in D=0 for r> 2m. O 71.2 pC/m'2 - 100.5 pC/m'2 O 100.5 pC/m2 O 71.2 pC/m'2

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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A point charge O-2000pc. is at the origin of spherical coordinates. A concentric spherical distribution of charge at r=Im has a charge density ps=40rt pCim2. What surface charge density on a concentric shell at r =2m would result in D=0 for r> 2m. O 71.2 pC/m'2 - 100.5 pC/m'2 O 100.5 pC/m2 O 71.2 pC/m'2
Transcribed Image Text:A point charge O-2000pc. is at the origin of spherical coordinates. A concentric spherical distribution of charge at r=Im has a charge density ps=40rt pCim2. What surface charge density on a concentric shell at r =2m would result in D=0 for r> 2m. O 71.2 pC/m'2 - 100.5 pC/m'2 O 100.5 pC/m2 O 71.2 pC/m'2
Expert Solution
Step 1

The point charge at the origin of the sphere is Q1=200 pC

The charge on the concentric  spherical at r=1 m is calculated as shown below: 

Electrical Engineering homework question answer, step 1, image 1

The charge on the concentric  spherical at r=2 m is calculated as shown below: 

Electrical Engineering homework question answer, step 1, image 2

 

Step 2

The total flux enclosed by the closed surface is the net charge enclosed by the closed surface. For the electric flux to be zero, the net charge enclosed will be zero. 

For r>2m, the net charge enclosed will be zero 

Electrical Engineering homework question answer, step 2, image 1

From the expression in step 1, 

Electrical Engineering homework question answer, step 2, image 2

 

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