Home
Class 12
PHYSICS
If electric field around a surface is gi...

If electric field around a surface is given by `|vec(E)|=(Q_(in))/(epsilon_0|A|)` where 'A' is the normal area of surface and `Q_(in)` is the charge enclosed by the surface. This relation of gauss's law is valid when

A

Surface is equipotential

B

Magnitude of electric field is constant

C

Magnitude of electric field is constant & the surface is equipotential

D

For all Gaussian surfaces.

Text Solution

Verified by Experts

The correct Answer is:
C
NA
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS SECTION B|30 Videos

Similar Questions

Explore conceptually related problems

Show that the electric field at the surface of a charged conductor is given by vecE = (sigma)/(epsi_(0)) hatn , where sigma is the surface charge density and hatn is a unit vector normal to the surface in the outward direction .

Which of the following law gives a relation between the electric flux through any closed surface and the charge enclosed by the surface ?

If negative charge is enclosed by the surface, then the T. N. E. I. over the surface will be

The total normal electric induction over a closed surface is equal to the algebraic sum of the charges enclosed by the surface' is the statement of

Why the electric field at the outer surface of a hollow charged conductor is normal to the surface?

A physics teacher explains Gauss's theorem in electrostatics and Gauss's theorem in magnetism to his students in a class. He tells them that total normal electric flux over a closed surface in vacuum is phi_e=(Q)/(in_0) , where Q is algebraic sum of charges inside the surface. Further, total normal magnetic flux over a closed surface in vacuum is always zero. The teacher emphasises that this is because in magnetism, poles always exist in unlike pairs of equal strengh, i.e., isolated magnetic poles called monopoles do not exist. Read the above passage and answer the following questions: (i) What are the implications of Gauss's theorem in magnetism in day to day life? (ii) Two magnetic dipoles of moments 5Am^2 and 3Am^2 oriented along opposite directions are enclosed in a surface. What is total normal magnetic flux over this surface? (iii) Two point charges +4q and -q are enclosed in a surface in vacuum, and third charge 5q lies outside the surface. What is total normal electric flux over the surface?

When no charge is confined with in the Gauss's surface, it implies that -

Gauss's law and Coulomb's law , although expressed in different forms , are equivalent ways of describing the relation between charge and electric field in static conditions . Gauss's law is epsilon_(0) phi = q_(encl) ,when q(encl) is the net charge inside an imaginary closed surface called Gaussian surface. The two equations hold only when the net charge is in vaccum or air . A Gaussian surface encloses two of the four positively charged particles. The particles that contribute to the electric field at a point P on the surface are

Gauss's law and Coulomb's law , although expressed in different forms , are equivalent ways of describing the relation between charge and electric field in static conditions . Gauss's law is epsilon_(0) phi = q_(encl) ,when q(encl) is the net charge inside an imaginary closed surface called Gaussian surface. The two equations hold only when the net charge is in vaccum or air . If the charge q_(3) and q_(4) are displaced (always remaining outside the Gaussian surface), then consider the following two statements : A : Electric field at each point on the Gaussian surface will remain same . B : The value of oint vec(E ) .d vec(A) for the Gaussian surface will remain same.

JEE MAINS PREVIOUS YEAR-JEE MAIN-All Questions
  1. Two spherical bodies of mass m1 & m2 are having radius 1 m & 2 m respe...

    Text Solution

    |

  2. When proton of KE = 1.0 MeV moving in South to North direction enters ...

    Text Solution

    |

  3. If electric field around a surface is given by |vec(E)|=(Q(in))/(epsil...

    Text Solution

    |

  4. Stopping potential depends on planks constant (h), current (I), univer...

    Text Solution

    |

  5. A cylinder of height 1m is floating in water at 0^@C with 20cm height ...

    Text Solution

    |

  6. Number of the alpha- particle deflected in Rutherford's alpha -scatter...

    Text Solution

    |

  7. If relative permittivity and relative permeability of a medium are 3 a...

    Text Solution

    |

  8. The given loop is kept in a uniform magnetic field perpendicular to pl...

    Text Solution

    |

  9. Choose the correct Boolean expression for the given circuit diagram:

    Text Solution

    |

  10. A Solid sphere of density rho=rho0(1-r^2/R^2), 0 ltrleR just floats in...

    Text Solution

    |

  11. Two masses each with mass 0.10kg are moving with velocities 3m/s along...

    Text Solution

    |

  12. A plano convex lens of radius of curvature 30 cm and refractive index ...

    Text Solution

    |

  13. Position of two particles A and B as a function of time are given by X...

    Text Solution

    |

  14. An open organ pipe of length 1m contains a gas whose density is twice ...

    Text Solution

    |

  15. Four resistors of 15ohm, 12ohm, 4ohm and 10ohm given in cyclic order t...

    Text Solution

    |

  16. Find magnetic field at O.

    Text Solution

    |

  17. Position of particle as a function of time is given as vec r=cos wt ha...

    Text Solution

    |

  18. A Carnot engine, having an efficiency of eta= 1/10 as heat engine, is ...

    Text Solution

    |

  19. Two uniformly charged solid spheres are such that E1 is electric field...

    Text Solution

    |

  20. Output at terminal Y of given logic circuit.

    Text Solution

    |