A spherically symmetricicharge distribution has a charge density given by p electric field as a function of r. Suggestion: The charge within a sphere of radius R is equal to the integral of p dV, where r extends from 0 to R. To evaluate the integral, note that the volume element dV for a spherical shell of radius rand thickness dr is equal to 4TT² dr. = e a/r, where a is constant. Find the
A spherically symmetricicharge distribution has a charge density given by p electric field as a function of r. Suggestion: The charge within a sphere of radius R is equal to the integral of p dV, where r extends from 0 to R. To evaluate the integral, note that the volume element dV for a spherical shell of radius rand thickness dr is equal to 4TT² dr. = e a/r, where a is constant. Find the
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Transcribed Image Text:Figure P24.56
57 A spherically symmetriclcharge distribution has a charge
density given by p
electric field as a function of r. Suggestion: The charge
within a sphere of radius R is equal to the integral of p dV,
where r extends from 0 to R. To evaluate the integral,
note that the volume element dV for a spherical shell of
radius r and thickness dr is equal to 47r² dr.
a/r, where a is constant. Find the
B. An infiniteły long insulating cylinder of radius R has a vol-
ume charge density that varies with the radius as
p = Po
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