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Gauss Theorem
Question
State Gauss’s theorem.
Solution
Gauss’s theorem : It states that the electric flux fE, through any closed surface is 1/Î0 times the total charge q enclosed by the surface.
Mathematically, 
Question
An infinite line charge produces a field of 9 x 104 NC-1 at a distance of 2 cm. Calculate the linear charge density.
Solution
For infinite long line charge,
We have,
E = 9 x io4 N/C
r = 2 cm = 2 x 10-2 m
Hence, 
Question
A short electric dipole (consists of two point charges +q and -q) is placed at the centre O and inside a large cube (ABCDEFGH) of length L, as shown in the figure below. The electric flux, remaining through the cube is:
-
-
Zero
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-
Solution
B.
Zero
Since, it is an electric dipole, the net charge enclosed by the surface is zero. Therefore, according to Gauss's law, electric flux through the cube will be zero.
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