- #1
dswatson
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Gaussian surfaces...need help...can someone help walk me through this problem??
A solid insulating sphere of radius 5 cm carries a net positive charge of 2 μC, uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius 10 cm and outter radius 15 cm, having a net charge -1.00 μC. (a) Consider the spherical gaussian surface of radius 16.0 cm and find the net charge enclosed by this surface. (b) What is the direction of electric field at point D, to the right of the shell and at radius 16 cm. (c) Find the magnitude of electric field at point D. (d) Find the vector electric field at point C, and at radius 12 cm. (e) Consider the spherical gaussian surface through point C and find the net charge enclosed by this surface. (f) Consider a spherical gaussian surface of radius 8 cm and find the net charge enclosed by this surface. (g) Find the vector electric field at point B at radius 8 cm. (h) Consider a spherical gaussian surface through point A, at radius 4 cm and find the net charge enclosed by this surface. (i) Find the vector electric field at point A. (j) Determine the charge on the inner surface of the conducting shell. (k) Determine the charge on the outer surface of the conducting shell. (l) sketch a graph of the magnitude of the electric field versus r.
I would think that for (a) I would start with
E=k(Q+q)/r^2
=k([2]\mu[/C])/.16^2
=702345
I feel like this is completely wrong...can someone please help...I have a test coming up and this was the problem that my professor said we should be able to walk straight through with no problems and I'm completely lost.
A solid insulating sphere of radius 5 cm carries a net positive charge of 2 μC, uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius 10 cm and outter radius 15 cm, having a net charge -1.00 μC. (a) Consider the spherical gaussian surface of radius 16.0 cm and find the net charge enclosed by this surface. (b) What is the direction of electric field at point D, to the right of the shell and at radius 16 cm. (c) Find the magnitude of electric field at point D. (d) Find the vector electric field at point C, and at radius 12 cm. (e) Consider the spherical gaussian surface through point C and find the net charge enclosed by this surface. (f) Consider a spherical gaussian surface of radius 8 cm and find the net charge enclosed by this surface. (g) Find the vector electric field at point B at radius 8 cm. (h) Consider a spherical gaussian surface through point A, at radius 4 cm and find the net charge enclosed by this surface. (i) Find the vector electric field at point A. (j) Determine the charge on the inner surface of the conducting shell. (k) Determine the charge on the outer surface of the conducting shell. (l) sketch a graph of the magnitude of the electric field versus r.
I would think that for (a) I would start with
E=k(Q+q)/r^2
=k([2]\mu[/C])/.16^2
=702345
I feel like this is completely wrong...can someone please help...I have a test coming up and this was the problem that my professor said we should be able to walk straight through with no problems and I'm completely lost.
