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IIT JEE Advanced 2012 Paper 1
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© examsnet.com
Question : 12
Total: 60
A cubical region of side a has its centre at the origin. It encloses three fixed point charges, –q at (0, –a/4, 0), + 3q at (0, 0, 0) and –q at (0, +a/4, 0). Choose the correct option(s):
The net electric flux crossing the plane x = +a/2 is equal to the net electric flux crossing the plane x = –a/2.
The net electric flux crossing the plane y = +a/2 is more than the net electric flux crossing the plane y = –a/2.
The net electric flux crossing the entire region is
q
∕
ε
0
.
The net electric flux crossing the plane z = +a/2 is equal to the net electric flux crossing the plane z = –a/2.
Validate
Solution:
The net flux through the cubical region is given by
−
q
+
3
q
−
q
ε
0
=
q
ε
0
Due to symmetry, the flux passing through the faces
x =
−
q
2
, x =
+
a
2
, z =
+
a
2
are same.
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