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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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.

Important Questions on Gauss' Theorem

EASY

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

A rectangular frame of area

10 m^{2}

is placed in a uniform electric field of

20 {NC}^{- 1}

, with normal drawn on the surface of the frame making

60 °

angle with the direction of the field. The electric flux through the frame is

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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.

HARD

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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?

HARD

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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,

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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 $18 cm$ from the centre of the sphere.

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.

Important Questions on Gauss' Theorem

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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.