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Physics Part-I
Physics Part-I

Class 12

NCERT

1

Chapter 1: Electric Charges and Fields

47 questions

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2

Chapter 2: Electrostatic Potential and Capacitance

46 questions

3

Chapter 3: Current Electricity

33 questions

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4

Chapter 4: Moving Charges and Magnetism

41 questions

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5

Chapter 5: Magnetism and Matter

36 questions

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6

Chapter 6: Electromagnetic Induction

28 questions

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7

Chapter 7: Alternating Current

37 questions

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8

Chapter 8: Electromagnetic Waves

20 questions

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Question
Hard
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Solving time: 5 mins

A long charged cylinder of linear charged density   is surrounded by a hollow co-axial conducting cylinder. What is the electric field in the space between the two cylinders?

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Charge density of the long charged cylinder of length L and radius r is .

Another cylinder of same length surrounds the pervious cylinder. The radius of this cylinder is R.

Let E be the electric field produced in the space between the two cylinders.

Electric flux through the Gaussian surface is given by Gauss’s theorem as,

Where,  Distance of a point from the common axis of the cylinders

Let q be the total charge on the cylinder.

It can be written as

Where,

 Charge on the inner sphere of the outer cylinder

 Permittivity of free space

Therefore, the electric field in the space between the two cylinders is

.

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Practice questions from Physics Part-I (NCERT)

Question 1
Medium
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Answer the following:
(a) The top of the atmosphere is at about 400 kV with respect to the surface of the earth, corresponding to an electric field that decreases with altitude. Near the surface of the earth, the field is about . Why then do we not get an electric shock as we step out of our house into the open? (Assume the house to be a steel cage so there is no field inside!)

(b) A man fixes outside his house one evening a two metre high insulating slab carrying on its top a large aluium sheet of area . Will he get an electric shock if he touches the metal sheet next morning?

(c) The discharging current in the atmosphere due to the small conductivity of air is known to be 1800 A on an average over the globe. Why then does the atmosphere not discharge itself completely in due course and become electrically neutral? In other words, what keeps the atmosphere charged?

(d) What are the forms of energy into which the electrical energy of the atmosphere is dissipated during a lightning?
(Hint: The earth has an electric field of about 100 V at its surface in the downward direction, corresponding to a surface charge density = C. Due to the slight conductivity of the atmosphere up to about 50 km (beyond which it is good conductor), about + 1800 C is pumped every second into the earth as a whole. The earth, however, does not get discharged since thunderstorms and lightning occurring continually allover the globe pump an equal amount of negative charge on the earth.)

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Question Text
A long charged cylinder of linear charged density   is surrounded by a hollow co-axial conducting cylinder. What is the electric field in the space between the two cylinders?
Updated OnJun 1, 2022
TopicElectrostatic Potential and Capacitance
SubjectPhysics
ClassClass 12
Answer TypeText solution:1 Video solution: 3
Upvotes292
Avg. Video Duration7 min