A sphere of radius 2m is made of a non-conducting material that has a uniform volume charge density p= 2.655 x 10-¹0C/m³. A spherical cavity of radius 1m is then carved out from the sphere. As measured from the center of the large sphere, the center of the spherical cavity is at the position r = cos30⁰i + sin30ºj. Find the electric field at a point P within the cavity. As measured from the center of the cavity, the point P is at the position r = 0.5cos60°î+ 0.5sin60ºj.

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Chapter24: Gauss’s Law
Section: Chapter Questions
Problem 24.59AP: A uniformly charged spherical shell with positive surface charge density contains a circular hole...
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Physics 1520 Challenging Problem
Gauss' Law
Electric Field Inside a Cavity
A sphere of radius 2m is made of a non-conducting material that has a uniform
volume charge density p = 2.655 × 10-¹⁰C/m³. A spherical cavity of radius 1m is
then carved out from the sphere. As measured from the center of the large sphere,
the center of the spherical cavity is at the position r = cos30°î+ sin30°.
Find the electric field at a point P within the cavity. As measured from the center
of the cavity, the point P is at the position r = 0.5cos60°î+ 0.5sin60ºj.
Transcribed Image Text:Physics 1520 Challenging Problem Gauss' Law Electric Field Inside a Cavity A sphere of radius 2m is made of a non-conducting material that has a uniform volume charge density p = 2.655 × 10-¹⁰C/m³. A spherical cavity of radius 1m is then carved out from the sphere. As measured from the center of the large sphere, the center of the spherical cavity is at the position r = cos30°î+ sin30°. Find the electric field at a point P within the cavity. As measured from the center of the cavity, the point P is at the position r = 0.5cos60°î+ 0.5sin60ºj.
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