Home
Class 11
PHYSICS
What is the dimensional formula of elect...

What is the dimensional formula of electric permittivity of free space?

Text Solution

AI Generated Solution

To find the dimensional formula of electric permittivity of free space (ε₀), we can start from the formula for the electrostatic force between two point charges. The formula is given by: \[ F = \frac{1}{4\pi \epsilon_0} \frac{q_1 q_2}{r^2} \] Where: - \( F \) is the electrostatic force, - \( q_1 \) and \( q_2 \) are the magnitudes of the charges, - \( r \) is the distance between the charges, ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise REVISION EXERCISES (ADDITIONAL QUESTIONS)|4 Videos
  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise REVISION EXERCISES (FILL IN THE BLANKS)|8 Videos
  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise HIGHER ORDER THINKING SKILLS & ADVANCED LEVEL|4 Videos
  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos
  • WAVES

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|14 Videos

Similar Questions

Explore conceptually related problems

What is the dimensional formula of force ?

What is the dimensional formula of loudness?

Knowledge Check

  • The dimensional formula of electric flux is

    A
    `[M^(1) L^(2) T^(-2) A^(-1)]`
    B
    `[M^(-1) L^(3) T^(-3) A]`
    C
    `[M^(1) L^(3) T^(-3) A^(-1)]`
    D
    `[M^(1) L^(-3) T^(-3) A^(-1)]`
  • The value of electric permittivity of free space is

    A
    `9xx10 ^(9) N C^(2) m^(-2) `
    B
    ` 8x85 xx10 ^(-12) N m^(2) C^(-2) `
    C
    ` 8.85 xx 10^(-12) C^(2) N^(-1) m^(-2) `
    D
    ` 9xx 10 ^(9) C^(2) N^(-1) m^(-2) `
  • The dimensional formula of electric potential is

    A
    `[ML^(2)T^(-3)A^(1)]`
    B
    `[M^(-1)L^(2)T^(-2)A]`
    C
    `[M^(-1)L^(2)T^(-2)A^(-1)]`
    D
    `[ML^(2)T^(-2)A]`
  • Similar Questions

    Explore conceptually related problems

    What is the dimensional formula of dielectric constant?

    The value of electric permittivity of free space is

    Write the dimensional formula of electric field.S

    What is the dimensional formula of tensile stress?

    The dimensional formula of electric intensity is