A plane surface of area 10 m 2 is placed in the X-Z plane where an electric field E → = ( 2 i ^ + 4 j ^ + 7 k ^ ) NC - 1 exists. Calculate the electric flux passing through the surface.

The area vector for the given surface (since normal to the surface will be along Y-axis) A → = 10 j ^ m 2 The electric flux through the surface is thus Φ E = E → · A → = 2 i ^ + 4 j ^ + 7 k ^ · 10 j ^ V - m = 40 V - m .

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 12

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A charged oil-drop of mass $m$ is suspended in equilibrium between two horizontal conducting plates, each of area A ${metre}^{2}$ and having charges $+ q$ and $- q$ Coulomb. Find the charge on the drop.

Important Questions on Gauss' Theorem

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 13

A large non-conducting plate has a charge q distributed uniformly over its surface. The electric field at a point just outside the plate is E. If the plate be replaced by an identical metallic plate, what will be the field at the same point?

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 14

A plane surface of area

10 m^{2}

is placed in the X-Z plane where an electric field

\vec{E} = (2 \hat{i} + 4 \hat{j} + 7 \hat{k}) {NC}^{- 1}

exists. Calculate the electric flux passing through the surface.

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 15

In the figure charges are enclosed by spherical surfaces $S_{1}$ and $S_{2}$ If the electric flux through surface $S_{2}$ is four times that of electric flux through $S_{1}$ , find relation between $Q$ and $q$ .

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 1

Define electric flux and electric flux density. What is meant by negative flux? Explain with diagram. Write

SI

unit and dimensions of electric flux.

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 2

Derive, using Gauss’ theorem, an expression for the electric field of an infinitely long line of charge having a uniform charge density of

λ

coulomb/metre.

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 3

State Gauss’ theorem. Give its mathematical expression. Derive an expression for the electric field intensity at any point due to an infinite plane sheet of charge of uniform charge density