2. An isolated conducting sphere of radius R carries a total charge of Q. a) Find the surface charge density (o) of the sphere. b) Calculate electric field everywhere. c) Using your results in parts a and b, show that electric field "just outside" the surface is in radial direction with a magnitude of o/ɛo. d) Find the capacitance of the sphere. e) Find the total electric energy stored inside a concentric spherical shell of inner radius r=2R and outer radius r=3R.
2. An isolated conducting sphere of radius R carries a total charge of Q. a) Find the surface charge density (o) of the sphere. b) Calculate electric field everywhere. c) Using your results in parts a and b, show that electric field "just outside" the surface is in radial direction with a magnitude of o/ɛo. d) Find the capacitance of the sphere. e) Find the total electric energy stored inside a concentric spherical shell of inner radius r=2R and outer radius r=3R.
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Transcribed Image Text:2. An isolated conducting sphere of radius R carries a total charge of Q.
a) Find the surface charge density (o) of the sphere.
b) Calculate electric field everywhere.
c) Using your results in parts a and b, show that electric field "just outside" the
surface is in radial direction with a magnitude of o/ɛ,-
d) Find the capacitance of the sphere.
e) Find the total electric energy stored inside a concentric spherical shell of
inner radius r=2R and outer radius r=3R.
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