Two large, thin metal plates are placed parallel and close to each other. Their inner faces have equal and opposite charges with a surface charge density of 17 . 0 × 10 - 12 Cm - 2 . What are the magnitudes of electric fields to the left of the plates, to the right of the plates and in between the plates.

Given, Surface charge density = σ = 17. 0 × 10 - 12 Cm - 2 . We know that electric field intensity is expressed as E = σ 2 ε 0 (a) Electric field intensity left to the plate E n e t = E 1 - E 2 = σ 2 ϵ 0 - σ 2 ε 0 = 0 (b) Electric field intensity right to the plates. E n e t = E 1 − E 2 = σ 2 ϵ 0 - σ 2 ε 0 = 0 Electric field intensity between the plates E n e t = E 1 − E 2 = σ 2 ϵ 0 + σ 2 ε 0 = 17 × 10 − 12 8 ⋅ 85 × 10 − 12 = 1 .92 NC − 1 ≈ 2 . 0 NC - 1

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A point-charge produces an electric flux of $- 750 N m^{2} C^{- 1}$ through a spherical Gaussian surface of $10 cm$ radius with centre at the charge,

If the radius of the Gaussian surface be doubled, how much flux would pass through the surface?

Important Questions on Gauss' Theorem

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

A point-charge produces an electric flux of $- 750 {Nm}^{2} C^{- 1}$ through a spherical Gaussian surface of $10 cm$ radius with centre at the charge.

What is the magnitude of point-charge?

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 4

An isolated conductor of any shape has a net charge of

+ 10 μC .

Inside the conductor is a cavity within which is a point-charge of

+ 3.0 μC .

What is the charge on the cavity wall? On the outer surface of the conductor.

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NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 2 - Gauss' Theorem>QUESTIONS>Q 5

An infinite line charge produces an electric field of

9.0 x 10^{4} {NC}^{- 1}

at a distance of

2.0 cm

. What is the linear charge density?

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

Two large, thin metal plates are placed parallel and close to each other. Their inner faces have equal and opposite charges with a surface charge density of

17.0 \times 10^{- 12} {Cm}^{- 2}

. What are the magnitudes of electric fields to the left of the plates, to the right of the plates and in between the plates.

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

Two large metal plates of area

1.0 m^{2}

face each other. They are

5.0 cm

apart and have equal but opposite charges on their inner surfaces. If the electric field between the plates, ignoring edge effects, is

55 {NC}^{- 1} .

Find the charges on the plates.

HARD

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

A uniformly charged conducting sphere of

1.2 m

radius has a surface charge density of

80.0 μC / m^{2}

. What is the charge on the sphere and the total electric flux leaving the surface of the sphere?

HARD

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

The electric field due to a charged conducting sphere of radius

10 cm,

, at a distance of

20 cm

from the centre of the sphere is

1.5 \times 10^{3} {NC}^{- 1}

and points radially inwards. What is the charge on the sphere?

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

A sphere of metal has a radius of $12 cm$ and carries a charge of $1.6 \times 10^{- 7} C$ , distributed uniformly on its surface. Calculate the electric field intensity at a point

(i) inside the sphere,

A point-charge produces an electric flux of -750 N m2 C-1 through a spherical Gaussian surface of 10 cm radius with centre at the charge, If the radius of the Gaussian surface be doubled, how much flux would pass through the surface?

Important Questions on Gauss' Theorem

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A point-charge produces an electric flux of $- 750 N m^{2} C^{- 1}$ through a spherical Gaussian surface of $10 cm$ radius with centre at the charge,

If the radius of the Gaussian surface be doubled, how much flux would pass through the surface?