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d by +1/2 along the r-axis. The point charge is gone. What is the electric field at the origin E(0)? Indicate both magnitude and direction. (Hint: You can use the principle of superpo- sition along with the electric field inside a uniformly charged sphere to find the answer. What must you superpose to get the cavity?) The spherical cavity inside the sphere is now moved R R.

d by +1/2 along the r-axis. The point charge is gone. What is the electric field at the origin E(0)? Indicate both magnitude and direction. (Hint: You can use the principle of superpo- sition along with the electric field inside a uniformly charged sphere to find the answer. What must you superpose to get the cavity?) The spherical cavity inside the sphere is now moved R R.

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3 c) away from the center of the shell along the +x-axis. What is the electric field at the origin É(õ)? Indicate both magnitude and direction. A point charge q is now placed at a distance d > R Copyright 202 etoi. University The spherical cavity inside the sphere is now moved by +n/2 along the x-axis. The point charge is gone. What is the electric field at the origin E(0)? Indicate both magnitude and direction. (Hint: You can use the principle of superpo- sition along with the electric field inside a uniformly charged sphere to find the answer. What must you superpose to get the cavity?)
Transcribed Image Text:3 c) away from the center of the shell along the +x-axis. What is the electric field at the origin É(õ)? Indicate both magnitude and direction. A point charge q is now placed at a distance d > R Copyright 202 etoi. University The spherical cavity inside the sphere is now moved by +n/2 along the x-axis. The point charge is gone. What is the electric field at the origin E(0)? Indicate both magnitude and direction. (Hint: You can use the principle of superpo- sition along with the electric field inside a uniformly charged sphere to find the answer. What must you superpose to get the cavity?)
Problem 1. g>0 A charge q > 0 is placed at a distance d above a) the r-y plane. What is the electric flux o through a surface S, infinite in extent, that coincides with the x-y plane? The normal vector for S points along -z, î = -k. (Hint: You can find the answer using Gauss's law, without evaluating any integrals.) right Princeton University The remaining parts of this problem have a uniformly charged (charge density p) insulating spherical shell of outer radius R and inner radius R/2 centered at the origin. b) ( Find Ë(7) everywhere, that is, at r < R/2, R/2 < r< R, and r > R. Indicate both magnitude and direction. 2
Transcribed Image Text:Problem 1. g>0 A charge q > 0 is placed at a distance d above a) the r-y plane. What is the electric flux o through a surface S, infinite in extent, that coincides with the x-y plane? The normal vector for S points along -z, î = -k. (Hint: You can find the answer using Gauss's law, without evaluating any integrals.) right Princeton University The remaining parts of this problem have a uniformly charged (charge density p) insulating spherical shell of outer radius R and inner radius R/2 centered at the origin. b) ( Find Ë(7) everywhere, that is, at r < R/2, R/2 < r< R, and r > R. Indicate both magnitude and direction. 2
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