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Byju's Answer
Standard XII
Physics
Gauss's Law
a. If the tot...
Question
a. If the total flux passing through the surface due to charge
Q
1
is
Y
∗
Q
1
/
ε
0
. Find out the value of Y?
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Solution
By Gauss's law, the flux,
ϕ
=
Q
e
n
ϵ
0
where
Q
e
n
be the charge enclosed by the surface.
Here,
Q
e
n
=
Q
1
So,
ϕ
=
Q
1
ϵ
0
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Similar questions
Q.
If the total flux passing through the surface due to charge
Q
2
is X. Find out the value of X?
Q.
Fig. shows four charges
q
1
,
q
2
,
q
3
and
q
4
fixed in space. Then the total flux of the electric field through a closed surface S, due to all the charges, is:
Q.
A conducting shell of inner radius
R
1
and outer radius
R
2
is given a charge
+
Q
. A point charge
q
1
is placed inside the shell and
q
2
is placed outside the shell.
Then for various locations of
q
1
and
q
2
, match the following entries of column
−
I
with the entries of column
−
II
.
Column-
I
Column-
II
(
i
)
.
If
q
1
is at center and
q
2
=
0
, then
→
E
at center of shell due to charge on outer surface of shell is
(
a
)
.
q
1
4
π
ε
0
r
2
(
ii
)
.
If
q
1
is at center and
q
2
is at distance
r
from the center, then
→
E
at a point distant
r
2
(
>
r
) from the center of the shell due to outer surface charge is
(
b
)
.
Zero
(
iii
)
.
If
q
1
is not at center and
q
2
=
0
, then
→
E
at point
P
(
P
is at distance
r
from
q
1
due to charge of the inner surface of shell) is
(
c
)
.
Cant be determined
Q.
Two point charges
Q
1
=
10
μ
C
a
n
d
Q
2
=
20
μ
C
are placed at coordinates (1, 1, 0) and (-1, -1, 0) respectively. The total electric flux passing through a plane Z = 20 will be
Q.
Assertion :Four point charges
q
1
,
q
2
,
q
3
and
q
4
are as shown in figure. The flux over the shown Gaussian surface depends only on charges
q
1
and
q
2
. Reason: Electric field at all points on Gaussian surface depends only charges
q
1
and
q
2
.
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