What is the dimensional formula for 1 4 π ε 0 ?

According to Coulomb's law ,the electrostatic force between two point charges in vacuum is expressed as F = 1 4 πε 0 q 1 q 2 r 2 f o r q 1 = q 2 = q F = 1 4 πε 0 q . q r 2 = 1 4 πε 0 q 2 r 2 ⇒ 1 4 πε 0 = F . r 2 q 2 ⇒ d i m e n si o n a l f o r m u l a o f 1 4 πε 0 = d i m e n s i o n a l f o r m u l a o f F . r 2 d i m e n s i o n a l f o r m u l a o f q 2 = MLT - 2 L 2 AT 2 = M L 3 T - 2 A 2 T 2 = M L 3 T - 4 A - 2

E M B I B E

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 1 - Electric Charges and Fields>QUESTIONS>Q 12

HARD

12th ICSE

IMPORTANT

Earn 100

Write the relation between relative permittivity $ε_{r}$ and the absolute permittivity $ε$ of a dielectric medium.

Important Questions on Electric Charges and Fields

EASY

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IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 1 - Electric Charges and Fields>QUESTIONS>Q 13

Define 'dielectric constant' of a medium in terms of force between electric charges.

EASY

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IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 1 - Electric Charges and Fields>QUESTIONS>Q 14

What is the dimensional formula for

\frac{1}{4 π ε_{0}}

?

EASY

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IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 1 - Electric Charges and Fields>QUESTIONS>Q 15

A

,

B

and

C

are three charged bodies. If

A

and

B

repel each other and

A

attracts

C

, what is the nature of the force between

B

and

C

?

EASY

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IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 1 - Electric Charges and Fields>QUESTIONS>Q 16

Two large conducting spheres carrying charges

q_{1}

and

q_{2}

are brought close to each other. Is the electrostatic force between them exactly given by

\frac{1}{4 {πε}_{0}} \frac{q_{1} q_{2}}{r^{2}}

, where

r

is the distance between their centres?

EASY

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IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 1 - Electric Charges and Fields>QUESTIONS>Q 17

The charge on a conductor is

- 1.6 C

. How electrons are in excess on it than normal state?

EASY

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IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 1 - Electric Charges and Fields>QUESTIONS>Q 18

A conductor has

2.4 \times 10^{- 18} C

of positive charge. How many electrons are in excess or short?

MEDIUM

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IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 1 - Electric Charges and Fields>QUESTIONS>Q 19

If the distance between two equal point-charges is doubled and their individual charges are also doubled, what would happen to the force between them?

MEDIUM

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IMPORTANT

NOOTAN ISC PHYSICS Class 12 Part-1>Chapter 1 - Electric Charges and Fields>QUESTIONS>Q 20

If the distance between two equal point-charges is halved and their individual charges are doubled, what would happen to the force between them?