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 .

E M B I B E

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 7

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IMPORTANT

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A cylindrical Gaussian surface has its axis along an infinite line of uniformly distributed positive charges, as shown.

Over which surface is $| \vec{E} |$ constant?

Important Questions on Gauss' Theorem

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12th ICSE

IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 7

A cylindrical Gaussian surface has its axis along an infinite line of uniformly distributed positive charges, as shown.

Question Image

Over which surface does $| \vec{E} |$ vary?

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IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 8

Charge q is enclosed in a hollow cylinder. If the electric flux through the curved surface of the cylinder is $Φ_{C}$ , then determine the electric flux through either plane surface of the cylinder.

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 9

Use Gauss’ law to show that electric field does exist inside a charged conductor.

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 10

A sensitive instrument which is to be saved from external electric fields in its environment is covered fully by a metallic surface. Why?

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 11

A spherical conducting shell of inner radius

r_{1}

and outer radius

r_{2}

has a charge Q. A charge q is placed at the centre of the shell. Compute surface charge densities on the inner and the outer surfaces of the shell.

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

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.

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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