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Byju's Answer
Standard XII
Physics
Induced Charges
The "Gaussian...
Question
The "Gaussian Surface" for an infinitely large charged plate is pillbox of surface area A and length 2a centered about origin. The plate has positive surface charge density σ. How much charge is contained in the pillbox?
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Similar questions
Q.
An infinite, uniformly charged sheet with surface charge density
σ
cuts through a spherical Gaussian surface of radius R at a distance x from its center, as shown in the figure. The electric flux through the Gaussian surface is :
Q.
Charge between parallel plates :
Surface charge density is defined as the charge per unit surface area of surface charge distribution. i.e.,
σ
=
q
S
Two large thin metal plates are parallel and close to each other, on their inner faces, the plates have surface charge densities of opposite sign having magnitude of
1.70
×
10
−
22
Cm
−
2
as shown in figure.
[Use
ε
0
=
8.85
×
10
−
12
Fm
−
1
]
(
i
)
The electric field
E
in the region in between the plates
A
and
B
is
Q.
An infinitely, uniformly charged sheet with surface charge density
σ
cuts through a spherical Gaussian surface of radius
R
at a distance
x
from the centre, as shown.The electric flux through the Gaussian surface is
Q.
(a) Use Gauss's theorem to find the electric field due to a uniformly charged infinitely large plane thin sheet with surface charge density
σ
(b) An infinitely large thin plane sheet has a uniform surface charge density
+
σ
. Obtain the expression for the amount of work done in bringing a point charge q from infinity. to a point, distant r, in front of the charged plane sheet.
Q.
When a charge of amount Q is given to an isolated metal plate X of surface area A, its surface charge density becomes
σ
1
. When an isolated identical plate Y is brought close to X, the surface charge density on X becomes
σ
2
. When y is earthed, the surface charge density becomes
σ
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