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? - Physics

Advertisements
Advertisements

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?

Advertisements

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)`

shaalaa.com
Gauss’s Law
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2011-2012 (March) All India Set 1

संबंधित प्रश्‍न

Draw a graph of electric field E(r) with distance r from the centre of the shell for 0 ≤ r ≤ ∞.


Gaussian surface cannot pass through discrete charge because ____________.


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?


The Gaussian surface ______.


The surface considered for Gauss’s law is called ______.


Refer to the arrangement of charges in figure and a Gaussian surface of radius R with Q at the centre. Then

  1. total flux through the surface of the sphere is `(-Q)/ε_0`.
  2. field on the surface of the sphere is `(-Q)/(4 piε_0 R^2)`.
  3. flux through the surface of sphere due to 5Q is zero.
  4. field on the surface of sphere due to –2Q is same everywhere.

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 1959 Lyttleton and Bondi suggested that the expansion of the Universe could be explained if matter carried a net charge. Suppose that the Universe is made up of hydrogen atoms with a number density N, which is maintained a constant. Let the charge on the proton be: ep = – (1 + y)e where e is the electronic charge.

  1. Find the critical value of y such that expansion may start.
  2. Show that the velocity of expansion is proportional to the distance from the centre.

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?


A charge Q is placed at the centre of a cube. The electric flux through one of its faces is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×