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An arbitrary surface encloses a dipole. What is the electric flux through this surface? - Physics

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प्रश्न

An arbitrary surface encloses a dipole. What is the electric flux through this surface?

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उत्तर

According to Gauss' law, the electric flux through an enclosed surface is given by `oint_s vecE * dvecS = q_(enclosed)/ε_0`.

The net charge on a dipole is given by –q + q = 0, hence `q_(enclosed)` = 0

Hence the electric flux through a surface enclosing a dipole = `(-q + q)/ε_0 = q/ε_0` = 0

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अध्याय 1: Electric Charges And Fields - MCQ I [पृष्ठ ५]

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एनसीईआरटी एक्झांप्लर Physics [English] Class 12
अध्याय 1 Electric Charges And Fields
MCQ I | Q 1.14 | पृष्ठ ५

संबंधित प्रश्न

State and explain Gauss’s law.


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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?


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.


A charge Q is placed at the centre of a cube. Find the flux of the electric field through the six surfaces of the cube.


State Gauss’s law for magnetism. Explain its significance. 


The Gaussian surface ______.


Gauss' law helps in ______


The Electric flux through the surface


(i)

(ii)

(iii)

(iv)

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.

Consider a region inside which there are various types of charges but the total charge is zero. At points outside the region

  1. the electric field is necessarily zero.
  2. the electric field is due to the dipole moment of the charge distribution only.
  3. the dominant electric field is `∞ 1/r^3`, for large r, where r is the distance from a origin in this region.
  4. the work done to move a charged particle along a closed path, away from the region, will be zero.

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  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.


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  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.

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


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