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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? - Physics

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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.


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 true only if force due to a charge varies as ______.

Gauss's law is valid for ______.

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


Gauss' law helps in ______


Five charges q1, q2, q3, q4, and q5 are fixed at their positions as shown in figure. S is a Gaussian surface. The Gauss’s law is given by `oint_s E.ds = q/ε_0`

Which of the following statements is correct?


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 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.


In finding the electric field using Gauss law the formula `|vec"E"| = "q"_"enc"/(epsilon_0|"A"|)` is applicable. In the formula ε0 is permittivity of free space, A is the area of Gaussian surface and qenc is charge enclosed by the Gaussian surface. This equation can be used in which of the following situation?


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