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Byju's Answer
Standard XII
Physics
Surface Integral
123.The linea...
Question
123.The linear charge density on the circumference of a circle of radius A varies as d=dcos theta . The total charge on it is?
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Similar questions
Q.
A circle, having radius "r" has line charge distribution over its circumference having linear charge density
λ
=
λ
0
cos
2
θ
. Calculate the total electric charge residing on the circumference of the circle.
⎡
⎢
⎣
2
π
∫
0
cos
2
θ
d
θ
=
π
⎤
⎥
⎦
Q.
The linear charge density of a uniform semicircular wire varies with
θ
as shown in the figure as
λ
=
λ
0
cos
θ
. Find the charge on the wire if
R
is the radius of the ring.
Q.
For the hemisphere of radius 'R' shown in the figure the surface charge density
′
σ
′
varies with '
θ
' (shown in figure) as
σ
=
σ
0
cos
θ
.
The total charge on the sphere is
Q.
The linear charge density on a dielectric ring of radius R varies with
θ
as
λ
=
λ
0
cos
θ
2
,
where
λ
0
is a constant. Find the potential at the centre of the ring. [in volt]
Q.
The surface charge density of a hollow hemisphere varies with
θ
as
σ
=
σ
0
cos
θ
. The situation is shown in the figure. Find the total charge on the hemisphere.
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