Instant Tutoring About Us

Student Tutor

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

Class 12

Physics

Electric Charges and Fields

Electrostatic force

Write dimensional formula for permittivity of free space (_{0}

Question

Easy

Solving time: 2 mins

Write dimensional formula for permittivity of free space $(ε_{0})$

Name: Video solution 1: Write dimensional formula for permittivity of free space (ε0)
Uploaded: 2022-06-29T03:44:19.000Z
Duration: 7 min
Description: Video solution 1: Write dimensional formula for permittivity of free space (ε0)

Views: 6,031 students

Updated on: Jun 29, 2022

Book:

Physics for JEE Main and Advanced Electrostatics and Current Electricity (McGraw Hill)

Found 5 tutors discussing this question

Mateo Discussed

Write dimensional formula for permittivity of free space

(ε_{0})

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

∴ ∴ [∵ Coulomb = ampere \times second] ∴ [ε_{0}] = [M^{- 1} L^{- 3} T^{4} A^{2}] F = \frac{1}{4 π ε _{0}} \frac{qQ}{r ^{2}} [ε_{0}] = \frac{[ qQ ]}{[ F ] [ r ^{2} ]} = \frac{[ A T ] ^{2}}{[ M ^{1} L ^{1} T ^{- 2} ] [ L ^{2} ]}

Was this solution helpful?

Report

Filo tutor solutions (1)

Learn from their 1-to-1 discussion with Filo tutors.

7 mins

Uploaded on: 6/29/2022

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Kuldeep Kumar

Total classes on Filo by this tutor - 54

Teaches : Physics, Mathematics

Connect instantly with this tutor

Connect now

Was this solution helpful?

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Practice questions from Physics for JEE Main and Advanced Electrostatics and Current Electricity (McGraw Hill)

Question 1

Hard

A cylindrical planet Imagine a peculiar planet that is in the shape of a long cylinder of radius

a

. Mass per unit length for the planet is

μ

. A satellite of mass

m

revolves around it is a circular orbit of radius

r

. Find its orbital speed.

Topic:

Electric Charges and Fields

Book:

Physics for JEE Main and Advanced Electrostatics and Current Electricity (McGraw Hill)

View solution

Question 2

Easy

A conductor has the shape shown in figure. It is given a charge

Q

. By visual inspection only, tell where the electric field is stronger – at point 1 or at 2. These are two points close to the surface of the conductor.

Topic:

Electric Charges and Fields

Book:

Physics for JEE Main and Advanced Electrostatics and Current Electricity (McGraw Hill)

View solution

Question 3

Hard

A spherical region has a uniform charge density

ρ

. Centre of the spherical region is point

A

. A spherical portion of the charge is removed creating a cavity. The cavity region has its centre at

B

. Find electric Field intensity at points

A

and

B

. It is given that distance between

A

and

B

r

Topic:

Electric Charges and Fields

Book:

Physics for JEE Main and Advanced Electrostatics and Current Electricity (McGraw Hill)

View solution

Question 4

Medium

Two point charges

Q

and

2 Q

are held at a separation

d

. A third charge

q

is placed on the line joining the two charges such that it remains in equilibrium.
(a) What is sign of

q

Q

is positive?
(b) What is distance of

q

from

Q

?
(c) Is equilibrium of

q

stable for small displacements along the line joining the two charges?

Topic:

Electric Charges and Fields

Book:

Physics for JEE Main and Advanced Electrostatics and Current Electricity (McGraw Hill)

View solution

Practice more questions from Electric Charges and Fields

Question 1

Medium

A large nonconducting surface has a uniform charge density s.A small circular hole of radius R is cut in the middle of the sheet, as shown in figure. Ignore fringing of the field lines around all edges calculate the electric field at point P, a distance z from the centre of the hole along its axis.

Topic:

Electric Charges and Fields

Book:

Physics Galaxy Electrostatics and Current Electricity Vol 3 A (Ashish Arora)

View solution

Question 2

Medium

A uniformly charged semicircular ring

(A BC D)

produces an electric field

E_{0}

at the centre

O . A B, BC

and

C D

are three equal arcs on the ring. Portion

A B

and

C D

are cut from either side and removed. Find the field at

O

due to remaining part

BC

Topic:

Electric Charges and Fields

Book:

Problems in Physics II for IIT JEE (McGraw Hill)

View solution

Question 3

Hard

A simple pendulum with a bob of mass

m = 1 kg

, charge

q = 5 μ C

and string length

l = 1 m

is given a horizontal velocity

u

in a uniform electric field

E = 2 \times 1 0^{6} V / m

at its bottommost point

A

, as shown in figure. It is given that the speed

u

is such that the particle leaves the circle at point

C

. Find the speed

u (

Take

g = 10 m / s^{2})

Topic:

Electric Charges and Fields

Book:

Electricity and Magnetism (DC Pandey)

View solution

Question 4

Easy

A point charge is kept at the centre of a metallic insulated spherical shell. Then

Electric field out side the sphere is zero
Electric field inside the sphere is zero
Net induced charge on the sphere is zero
Electric potential inside the sphere is zero

Topic:

Electric Charges and Fields

View 2 solutions

Practice questions on similar concepts asked by Filo students

Question 1

5.4 PRINCIPLE AND WORKING OF LASER The principle of production of laser involves the phenomenon of stimulated emission.

Topic:

Modern Physics

View solution

Question 2

A solenoid with 1.961 turns has a radius of 92.6 mm and is 62.2 cm long. If this solenoid carries a current of 62.8 A, what is the magnitude of the magnetic field near the center of the solenoid?

Topic:

Physics

View solution

Question 3

\Rightarrow \frac{g}{4} = \frac{g}{( 1 + \frac{h}{R} ) ^{2}} \Rightarrow (1 + \frac{h}{R})^{2} = 4 \Rightarrow 1 + \frac{h}{R} = 2

∴

Acceleration due to gravity is reduced to one fourth of its value on the earth's surface at an altitude of

6.4 \times 1 0^{6} m

. Example 10.19 At what height the acceleration due to gravity decreases by

51%

of its value on the surface of the earth?

Topic:

Electrostats

View solution

Question 4

Consider how pressure gradients and skin friction develop in an empty wind tunnel or water tunnel test section when the flow is incompressible. Here the fluid has viscosity

μ

and density

ρ,

and flows into a horizontal cylindrical pipe of length

L

with radius

R

at a uniform horizontal velocity

U_{0} .

The inlet of the pipe lies at

x = 0.

Boundary layer growth on the pipe's walls induces the horizontal velocity on the pipe's centerline to be

U_{L}

x = L;

however, the pipe-wall boundary layer thickness remains much smaller than

R

. Here,

L / R

is of order 10 , and

ρ U_{o} R / μ ≫ 1

The radial coordinate from the pipe centerline is

r

a) Determine the displacement thickness,

δ_{L}^{*}

, of the boundary layer at

x = L

in terms of

U_{o}

U_{L},

and

R .

Assume that the boundary layer displacement thickness is zero at

x = 0

[The boundary layer displacement thickness,

δ^{*},

is the thickness of the zero-flow-speed layer that displaces the outer flow by the same amount as the actual boundary layer. For a boundary layer velocity profile

u (y)

with

y =

wall-normal coordinate and

U = outer flow velocity, δ^{*} is defined by: δ^{*} = \int_{0}^{\infty} (1 - (u / U)) d y .]

b) Determine the pressure difference,

Δ P = P_{L} - P_{o},

between the ends of the pipe in terms of

ρ, U_{o},

and

U_{L}

c) Assume the horizontal velocity profile at the outlet of the pipe can be approximated by:

u (r, x = L) = U_{L} (1 - (r / R)^{n})

and estimate average skin friction,

\overset{τ}{ˉ}_{w},

on the inside of the pipe between

x = 0

and

x = L

in terms of

ρ

U_{o}, U_{L}, R, L,

and

n

d) Calculate the skin friction coefficient,

c_{f} = \overset{τ}{ˉ}_{w} / (1/2) ρ U_{o}^{2},

when

U_{o} = 20.0 m / s, U_{L} =

20.5 m / s, R = 1.5 m, L = 12 m, n = 80,

and the fluid is water, i.e.,

ρ = 1 0^{3} kg / m^{3}

Topic:

Physics

View solution

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Related books for questions on Electric Charges and Fields

Calculus: Early Transcenden...

Cengage Learning

James Stewart

4414 Questions

Chemistry

Cengage Learning

Cengage Learning ...

862 Questions

Chemistry & Chemical Reacti...

Cengage Learning

Cengage Learning...

3022 Questions

Chemistry: Principles and P...

Cengage Learning

Cengage Learning...

2399 Questions

Electricity and Magnetism

Arihant

DC Pandey

Applied Statistics and Prob...

WILEY

Douglas C. Montgomery

2013 Questions

Arihant Physics JEE Main Ch...

Arihant

Calculus: Early Transcenden...

James Stewart, Daniel Clegg, Saleem Watson

7753 Questions

Calculus: Early Transcenden...

Cengage Learning

James Stewart

4414 Questions

Chemistry

Cengage Learning

Cengage Learning ...

862 Questions

Chemistry & Chemical Reacti...

Cengage Learning

Cengage Learning...

3022 Questions

Chemistry: Principles and P...

Cengage Learning

Cengage Learning...

2399 Questions

Electricity and Magnetism

Arihant

DC Pandey

Applied Statistics and Prob...

WILEY

Douglas C. Montgomery

2013 Questions

Arihant Physics JEE Main Ch...

Arihant

Calculus: Early Transcenden...

James Stewart, Daniel Clegg, Saleem Watson

7753 Questions

Calculus: Early Transcenden...

Cengage Learning

James Stewart

4414 Questions

Chemistry

Cengage Learning

Cengage Learning ...

862 Questions

Chemistry & Chemical Reacti...

Cengage Learning

Cengage Learning...

3022 Questions

Chemistry: Principles and P...

Cengage Learning

Cengage Learning...

2399 Questions

Electricity and Magnetism

Arihant

DC Pandey

Question Text	Write dimensional formula for permittivity of free space $(ε_{0})$
Updated On	Jun 29, 2022
Topic	Electric Charges and Fields
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	133
Avg. Video Duration	7 min