मराठी

A Charge ‘Q’ is Placed at the Centre of a Cube of Side L. What is the Electric Flux Passing Through Each Face of the Cube?

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प्रश्न

A charge ‘q’ is placed at the centre of a cube of side l. What is the electric flux passing through each face of the cube?

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उत्तर

By using Gauss’s Law.

It is given as

`Phi = oint vecE*dvecs = q/in_0`

Now, the flux passing through all the six surfaces would be

`Phi = 6phi =q/in_0`

And the flux passing through each surface would be

`phi = q/(6in_0)`

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2011-2012 (March) All India Set 1

संबंधित प्रश्‍न

State and explain Gauss’s law.


A thin conducting spherical shell of radius R has charge Q spread uniformly over its surface. Using Gauss’s law, derive an expression for an electric field at a point outside the shell.


Answer the following question.
State Gauss's law for magnetism. Explain its significance.


State Gauss's law in electrostatics. Show, with the help of a suitable example along with the figure, that the outward flux due to a point charge 'q'. in vacuum within a closed surface, is independent of its size or shape and is given by `q/ε_0`


q1, q2, q3 and q4 are point charges located at points as shown in the figure and S is a spherical gaussian surface of radius R. Which of the following is true according to the Gauss' law?


Gauss's law is valid for ______.

Which of the following statements is not true about Gauss’s law?


If `oint_s` E.dS = 0 over a surface, then ______.

  1. the electric field inside the surface and on it is zero.
  2. the electric field inside the surface is necessarily uniform.
  3. the number of flux lines entering the surface must be equal to the number of flux lines leaving it.
  4. all charges must necessarily be outside the surface.

If there were only one type of charge in the universe, then ______.

  1. `oint_s` E.dS ≠ 0 on any surface.
  2. `oint_s` E.dS = 0 if the charge is outside the surface.
  3. `oint_s` E.dS could not be defined.
  4. `oint_s` E.dS = `q/ε_0` if charges of magnitude q were inside the surface.

If the total charge enclosed by a surface is zero, does it imply that the elecric field everywhere on the surface is zero? Conversely, if the electric field everywhere on a surface is zero, does it imply that net charge inside is zero.


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