A solid insulating sphere of radius a carries a net positive charge 3Q, uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b and outer radius c and it has a net charge of - Q. a) Construct a spherical Gaussian surface of radius r>c and find the net charge enclosed by this surface. b) What is the magnitude and direction of the electric field at r> c? c) Construct a spherical Gaussian surface of radius r, where b

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Chapter6: Gauss's Law
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Problem 71P: A solid cylindrical conductor of radius a is surrounded by a concentric cylindrical shell of inner...
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A solid insulating sphere of radius a carries a net positive charge 3Q, uniformly distributed
throughout its volume. Concentric with this sphere is a conducting spherical shell with inner
radius b and outer radius c and it has a net charge of - Q.
a) Construct a spherical Gaussian surface of radius r>c and find the net charge enclosed by
this surface.
b) What is the magnitude and direction of the electric field at r> c?
c) Construct a spherical Gaussian surface of radius r, where b <r<c and find the net charge on
this surface. Find the electric field in the region b<r< c.
d) Construct a Gaussian surface of radius r, such that a <r< b. Find the net charge enclosed
and the magnitude and direction of the electric field at r.
e) Construct a Gaussian surface of radius r, such that r < a. Find the net charge enclosed and
the magnitude and direction of the electric field at r< a.
Determine the charge on the inner surface and on the outer surface of the conducting shell.
f)
Transcribed Image Text:A solid insulating sphere of radius a carries a net positive charge 3Q, uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b and outer radius c and it has a net charge of - Q. a) Construct a spherical Gaussian surface of radius r>c and find the net charge enclosed by this surface. b) What is the magnitude and direction of the electric field at r> c? c) Construct a spherical Gaussian surface of radius r, where b <r<c and find the net charge on this surface. Find the electric field in the region b<r< c. d) Construct a Gaussian surface of radius r, such that a <r< b. Find the net charge enclosed and the magnitude and direction of the electric field at r. e) Construct a Gaussian surface of radius r, such that r < a. Find the net charge enclosed and the magnitude and direction of the electric field at r< a. Determine the charge on the inner surface and on the outer surface of the conducting shell. f)
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