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Standard XII
Physics
Electric Potential Due to Shell
11.A spherica...
Question
11.A spherical charge distribution is symmetrical about a point O.The volume charge density Rho depend upon the distance r from the point O as rho p(1-r/R).Find the total charge enclosed inside a sphere of Radius R having center at O
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Q.
A solid nonconducting sphere of radius
R
has a uniform charge distribution of volume charge density,
ρ
=
ρ
0
r
R
, where
ρ
0
is a constant and r is the distance from the centre of the sphere. Show that:
(a) the total charge on the sphere is
Q
=
π
ρ
0
R
3
(b) the electric field inside the sphere has a magnitude given by,
E
=
K
Q
r
2
R
4
Q.
Let
ρ
(
r
)
=
Q
r
4
π
R
4
be the charge density distribution of a solid sphere of radius
R
and total charge
Q
. Find the magnitude of electric field at a point
P
inside the sphere at a distance
r
1
from the centre of the sphere.
Q.
The diagram shows a sphere of radius
R
that carries a charge uniformly distributed throughout its volume. The volume charge density is
ρ
. A Gaussian sphere of radius
a
is imagined that is concentric to the charged sphere.
If
a
>
R
, what is the charge enclosed in the Gaussian surface?
Q.
Let
P
(
r
)
=
Q
π
R
4
r
be the charge density distribution for a solid sphere of radius
R
and total charge Q. For a point
p
1
inside the sphere at distance
r
1
from the centre of sphere, the magnitude of electric field is
Q.
A non-conducting spherical ball of radius
R
contains a spherically symmetric charge with volume charge density
ρ
=
k
r
n
, where
r
is the distance from the center of the ball and
n
is a constant. The value of
n
such that the electric field inside the ball is directly proportional to square of distance from the centre is
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