A point charge Q = +24 nC is located at the center of a hollow, conducting spherical shell. The shell has radius R = 12 cm and uniform surface charge density σ. At a distance d = 75 cm from the center of the shell, the electric field is measured to be E 49 kN/C in the radially inward direction. What is o? For the limit check, investigate what happens to σ (and therefore what happens to gin) if the electric field at d becomes extremely weak (i.e., E→ 0). Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) As E 0, what limit does σ approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter6: Gauss's Law
Section: Chapter Questions
Problem 70P: A point charge q=5.01012 C is placed at the center of a spherical conducting shell of inner radius...
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A point charge Q = +24 nC is located at the center of a hollow,
conducting spherical shell. The shell has radius R = 12 cm and
uniform surface charge density σ. At a distance d = 75 cm
from the center of the shell, the electric field is measured to
be E 49 kN/C in the radially inward direction. What is
o? For the limit check, investigate what happens to σ (and
therefore what happens to gin) if the electric field at d becomes
extremely weak (i.e., E→ 0).
Initial Equations
Algebra Work (Symbols only. Don't plug in any numbers yet.)
Symbolic Answer:
Unit Check
Limit Check
a) As E 0, what limit does σ approach?
b) Why does the result make physical sense?
Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)
Transcribed Image Text:A point charge Q = +24 nC is located at the center of a hollow, conducting spherical shell. The shell has radius R = 12 cm and uniform surface charge density σ. At a distance d = 75 cm from the center of the shell, the electric field is measured to be E 49 kN/C in the radially inward direction. What is o? For the limit check, investigate what happens to σ (and therefore what happens to gin) if the electric field at d becomes extremely weak (i.e., E→ 0). Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) As E 0, what limit does σ approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)
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