Given the electric field in the region E → = 2 x i ^ , find the net electric flux through the cube and the charge enclosed by it.

Only the faces perpendicular to the x-axis contribute towards the electric flux. The contribution from the remaining faces is zero. Flux through the left face, ϕ L = E S cos 180 ∘ = 2 ( 0 ) a 2 ( − 1 ) = 0 Flux through the right face, ϕ R = E S cos 0 ∘ = 2 a × a 2 × 1 = 2 a 3 ∴ Net flux through the cube, ϕ E = ϕ L + ϕ R = 2 a 3

E M B I B E

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 6

EASY

12th CBSE

IMPORTANT

Earn 100

Define electric flux. Write its SI unit.

Important Questions on Electric Charges and Field

MEDIUM

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 6

State and explain Gauss's law. Find out the outward flux due to a point charge

+ q

placed at the centre of a cube of side '

a

'. Why is it found to be independent of the size and shape of the surface enclosing it? Explain.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 7

Use Gauss's theorem to find the electric field due to a uniformly charged infinitely large plane thin sheet with surface charge density

σ

.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 7

An infinitely large thin plane sheet has a uniform surface charge density

+ σ

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.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 8

State Gauss's law. Using this law, obtain the expression for the electric field due to an infinitely long straight conductor of linear charge density

λ

.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 8

A wire

A B

of length

L

has linear charge density

λ = k x

, where

x

is measured from the end

A

of the wire. This wire is enclosed by a Gaussian hollow surface. Find the expression for the electric flux through this surface.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 9

"Gauss's law in electrostatics is true for any closed surface, no matter what its shape or size is". Justify this statement with the help of a suitable example.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 9

Use Gauss's law to prove that the electric field inside a uniformly charged spherical shell is zero.

EASY

12th CBSE

IMPORTANT

New Simplified Physics (Vol 1) For Class 12>Chapter 1 - Electric Charges and Field>Text Based Exercises>Q 9

Given the electric field in the region $\vec{E} = 2 x \hat{i}$ , find the net electric flux through the cube and the charge enclosed by it.

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