A cylinder is immersed in a uniform electric field E → with its axis parallel to the field. Show that the electric flux through the cylinder is zero.

According to given figure net electric flux through the cylinder immerged in electric field E → = ϕ n e t = ∮ E → · d A → Left face + ∮ E → · d A → Right face + ∮ E → · d A → Curved face But angle between E → and d A → in left face right face & curved face are 180 ° , 0 ° and 90 ° respectively. ∴ ϕ n e t = ∮ E d A cos 180 ° + ∮ E d A cos 0 ° + ∮ E d A cos 90 ° = - E ∮ d A + E ∮ d A + 0 = 0

A cylinder is immersed in a uniform electric field E → with its axis parallel to the field. Show that the electric flux through the cylinder is zero.

According to given figure net electric flux through the cylinder immerged in electric field E → = ϕ n e t = ∮ E → · d A → Left face + ∮ E → · d A → Right face + ∮ E → · d A → Curved face But angle between E → and d A → in left face right face & curved face are 180 ° , 0 ° and 90 ° respectively. ∴ ϕ n e t = ∮ E d A cos 180 ° + ∮ E d A cos 0 ° + ∮ E d A cos 90 ° = - E ∮ d A + E ∮ d A + 0 = 0

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 6

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A cylinder is immersed in a uniform electric field $\vec{E}$ with its axis parallel to the field. Show that the electric flux through the cylinder is zero.

Important Questions on Gauss' Theorem

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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.

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(i) For which surface is the electric flux zero?

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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.

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Over which surface is $\vec{E}$ zero?

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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 is $| \vec{E} |$ constant?

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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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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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