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Physics Part-I
Class 12
NCERT
1
Chapter 1: Electric Charges and Fields
47 questions
2
Chapter 2: Electrostatic Potential and Capacitance
46 questions
Q1
(a) Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by
where is a unit vector normal to the surface at a point and is the surface charge density at that point. (The direction of is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is
(b) Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another. [Hint: For (a), use Gauss's law. For, (b) use the fact that work done by electrostatic field on a closed loop is zero.]
where is a unit vector normal to the surface at a point and is the surface charge density at that point. (The direction of is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is
(b) Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another. [Hint: For (a), use Gauss's law. For, (b) use the fact that work done by electrostatic field on a closed loop is zero.]
Q2
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?
Q3
In a hydrogen atom, the electron and proton are bound at a distance of about :
View all question(a) Estimate the potential energy of the system in eV, taking the zero of the potential energy at infinite separation of the electron from the proton.
(b) What is the imum work required to free the electron, given that its kinetic energy in the orbit is half the magnitude of potential energy obtained in (a)?
(c) What are the answers to (a) and (b) above if the zero of potential energy is taken at separation?
3
Chapter 3: Current Electricity
33 questions
4
Chapter 4: Moving Charges and Magnetism
41 questions
5
Chapter 5: Magnetism and Matter
36 questions
6
Chapter 6: Electromagnetic Induction
28 questions
7
Chapter 7: Alternating Current
37 questions
8
Chapter 8: Electromagnetic Waves
20 questions
Question
Hard
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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Text solution
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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 more questions from Physics Part-I (NCERT)
Q1
(a) Show that the normal component of electrostatic field has a discontinuity from one side of a charged surface to another given by
where is a unit vector normal to the surface at a point and is the surface charge density at that point. (The direction of is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is
(b) Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another. [Hint: For (a), use Gauss's law. For, (b) use the fact that work done by electrostatic field on a closed loop is zero.]
where is a unit vector normal to the surface at a point and is the surface charge density at that point. (The direction of is from side 1 to side 2.) Hence show that just outside a conductor, the electric field is
(b) Show that the tangential component of electrostatic field is continuous from one side of a charged surface to another. [Hint: For (a), use Gauss's law. For, (b) use the fact that work done by electrostatic field on a closed loop is zero.]
Q2
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?
Q3
In a hydrogen atom, the electron and proton are bound at a distance of about :
View all(a) Estimate the potential energy of the system in eV, taking the zero of the potential energy at infinite separation of the electron from the proton.
(b) What is the imum work required to free the electron, given that its kinetic energy in the orbit is half the magnitude of potential energy obtained in (a)?
(c) What are the answers to (a) and (b) above if the zero of potential energy is taken at separation?
Practice questions from Physics Part-I (NCERT)
Question 1
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Question 2
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Question 3
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Answer carefully:
(a) Two large conducting spheres carrying charges and are brought close to each other. Is the magnitude of electrostatic force between them exactly given by , where is the distance between their centres?
(b) If Coulomb's law involved 1/ dependence (instead of 1/),would Gauss' law be still true ?
(c) A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point?
(d) What is the work done by the field of a nucleus in a complete circular orbit of the electron? What if the orbit is elliptical?
(e) We know that electric field is discontinuous across the surface of a charged conductor. Is electric potential also discontinuous there?
(f) What meaning would you give to the capacitance of a single conductor?
(g) Guess a possible reason why water has a much greater dielectric constant (= 80) than say, mica (= 6).
Question 4
Easy
Views: 6,543
(a) Identify an equipotential surface of the system.
(b) What is the direction of the electric field at every point on this surface?
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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 On | Jun 1, 2022 |
| Topic | Electrostatic Potential and Capacitance |
| Subject | Physics |
| Class | Class 12 |
| Answer Type | Text solution:1 Video solution: 3 |
| Upvotes | 292 |
| Avg. Video Duration | 7 min |
