A nonconducting thin spherical shell of radius 6.36 cm has a uniform surface charge density of 9.63 nC/m2. What is the total charge on the shell?  What is the magnitude of the electric field at a distance of 2.61 cm from the center of the shell?  What is the magnitude of the electric field at a distance of 7.15 cm from the center of the shell?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 51PQ: A very large, flat slab has uniform volume charge density and thickness 2t. A side view of the...
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A nonconducting thin spherical shell of radius 6.36 cm has a uniform surface charge density of 9.63 nC/m2. What is the total charge on the shell? 

What is the magnitude of the electric field at a distance of 2.61 cm from the center of the shell? 

What is the magnitude of the electric field at a distance of 7.15 cm from the center of the shell?

Expert Solution
Step 1

Given data:

A nonconducting thin spherical shell is given.

The radius of the shell is,

R = 6.36 cm = 0.0636 m

A uniform surface charge density of spherical shell is,

σ= 9.63 nC/m2

Formula used:

The surface charge density is,

σ = ChargeSurface areaσ = QA

According to Gauss law,

E.dA=qenclε0

Where,

qencl- Charge enclosed

Q- Charge

A- Surface area

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