A hollow sphere of interior radius 3 cm and exterior radius 5 cm contains charge uniformly distributed throughout its volume with a density of 4 10-5/TT C/m3. At its center is a conducting sphere of radius 1 cm charged with -4 - 10-9 C. a) Obtain, reasonably, the expression of the electric field in the following regions r <1, 1 5. b) Calculate the potential of the center of the conducting sphere 5 cm 1 cm 3 cm

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A hollow sphere of interior radius 3 cm and
exterior radius 5 cm contains charge uniformly
distributed throughout its volume with a density of
4 10-5/ TT C/m3. At its center is a conducting
sphere of radius 1 cm charged with -4 · 10-9 C.
a) Obtain, reasonably, the expression of the
electric field in the following regions r <1, 1 <r <3,
3 <r <5, r> 5. b) Calculate the potential of the
center of the conducting sphere
5 cm
1 cm
3 cm
Transcribed Image Text:A hollow sphere of interior radius 3 cm and exterior radius 5 cm contains charge uniformly distributed throughout its volume with a density of 4 10-5/ TT C/m3. At its center is a conducting sphere of radius 1 cm charged with -4 · 10-9 C. a) Obtain, reasonably, the expression of the electric field in the following regions r <1, 1 <r <3, 3 <r <5, r> 5. b) Calculate the potential of the center of the conducting sphere 5 cm 1 cm 3 cm
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