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Gauss's theorem...

Gauss's theorem

A

a charged body of any geometrical configuration

B

a charged body of regular geometrical configuration

C

revolving charged bodies

D

charges forming dipoles

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The correct Answer is:
B
a charged body of regular geometrical configuration
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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?

(a) Use Gauss's theorem to find the electric field due to a uniformly charged infinitely Iarge plane thin sheet with surface charge density. Sigma (b) An infinitely large thin plane sheet has a uniform surface charge density + sigma . Obtain the expression for the amount of work done in bringing a point charge q from infinity to a point , distant r, in front of the charged plane sheet.

The Gauss' theorem for gravitational field may be written as

A : Gauss theorem is applicable on any closed surface. R : In order to find the value of electric field due to a charge distribution, Gauss' theorem should be applid on a symmetrical closed surface.

A charge q is situated at the centre of an imaginary hemispherical surface, as shown in figure. Using gauss's theorem and symmetry considerations, determine the electric flux due to this charge through the hemisphere surface.

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