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Published: 19.05.2021  Total Normal Electric Induction over any closed surface of any shape in an electric field is equal to the algebraic sum of electric charges enclosed by that surface. Such a surface is called a Gaussian surface. Consider a small element dS on its surface. Therefore, the total normal electric induction over area dS is given by. The total Normal Electric Induction over the whole Gaussian surface can be obtained by integrating the above expression.

## Gauss's law

In physics , Gauss's law , also known as Gauss's flux theorem , is a law relating the distribution of electric charge to the resulting electric field. In its integral form, it states that the flux of the electric field out of an arbitrary closed surface is proportional to the electric charge enclosed by the surface, irrespective of how that charge is distributed. Even though the law alone is insufficient to determine the electric field across a surface enclosing any charge distribution, this may be possible in cases where symmetry mandates uniformity of the field. Where no such symmetry exists, Gauss's law can be used in its differential form, which states that the divergence of the electric field is proportional to the local density of charge. The law was first  formulated by Joseph-Louis Lagrange in ,  followed by Carl Friedrich Gauss in ,  both in the context of the attraction of ellipsoids.

Thanks for visiting our website. Our aim is to help students learn subjects like physics, maths and science for students in school , college and those preparing for competitive exams. All right reserved. All material given in this website is a property of physicscatalyst. Gauss's Law Table of Content Introduction Electric field due to continous charge distributions Gauss's Law Applications of Gauss's Law Derivation of Coulumb's Law Electric field due to line charge Electric field due to charged solid sphere Electric field due to an infinite plane sheet of charge 1. ## Gauss’s Law and the Electric Potential

Discuss how to orient a planar surface of area A in a uniform electric field of magnitude E 0 E 0 to obtain a the maximum flux and b the minimum flux through the area. What are the maximum and minimum values of the flux in the preceding question? The net electric flux crossing a closed surface is always zero. True or false? The net electric flux crossing an open surface is never zero.

Engineering Electromagnetics pp Cite as. In this chapter, we address two issues: one is to formalize some of the results obtained in the previous chapter and the second is to expand on the ideas of electric field intensity, electric flux density, and the relation between the electric field and material properties. Skip to main content. This service is more advanced with JavaScript available. Advertisement Hide. Gauss haw. AND ITS. APPLICATIONS. Electio statics, Physics, stad. Electric flux, Electric flux foi closed sufaus,. Gauss low, Applications.

## Gauss’s Theorem and its Applications

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Question 1. Electric field intensity is maximum due to a uniformly charged solid non-conducting sphere : a at centre b between a point on the surface and the centre c at surface d at infinity Answer: c at surface At surface, electric field intensity is given by. Question 2.

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