Find the charge density and total charge of the system give rise to the electric field
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A quick calculation seems to give the following result:
Q = 4π¢R[1–(1/e)] , where ¢ is being used for permittivity of free space.
The author is requested to kindly confirm if this is what was required, in case this is incorrect. Please see the second comment below.
It's a little odd that R is regarded as both the radius of a sphere and is also termed a “positive constant”. Further, E is given as a function of rbut it is puzzling that the integrand in Gauss's law does not seem to require this variable once r is replaced by R.
Q = 4π¢R[1–(1/e)] , where ¢ is being used for permittivity of free space.
The author is requested to kindly confirm if this is what was required, in case this is incorrect. Please see the second comment below.
It's a little odd that R is regarded as both the radius of a sphere and is also termed a “positive constant”. Further, E is given as a function of rbut it is puzzling that the integrand in Gauss's law does not seem to require this variable once r is replaced by R.
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