Question

what is the dimensional formula for mu not

Answer 1

Answer ⇒  [μ₀] = [M¹L¹T⁻²A⁻²]

Explanation ⇒ μ₀ is the magnetic permeability.

For finding its dimensions,

Using the formula,

c² = 1/μ₀ε₀, where c is the speed of light, ε₀ is the permmitivity of free space.

[c²] = L²T⁻²

[ε₀] = [q²/Fr²4π] = [A²T²/MLT⁻²L²] = [M⁻¹L⁻³T⁴A²]

Thus, [μ₀] = 1/[M⁻¹L⁻³T⁴A²][L²T⁻²]

[μ₀] = 1/[M⁻¹L⁻¹T²A²]

[μ₀] = [M¹L¹T⁻²A⁻²]

Hope it helps.

Answer 2

Answer ⇒  [μ₀] = [M¹L¹T⁻²A⁻²]

Explanation ⇒ μ₀ is the magnetic permeability.

For finding its dimensions,

Using the formula,

c² = 1/μ₀ε₀, where c is the speed of light, ε₀ is the permmitivity of free space.

[c²] = L²T⁻²

[ε₀] = [q²/Fr²4π] = [A²T²/MLT⁻²L²] = [M⁻¹L⁻³T⁴A²]

Thus, [μ₀] = 1/[M⁻¹L⁻³T⁴A²][L²T⁻²]

[μ₀] = 1/[M⁻¹L⁻¹T²A²]

[μ₀] = [M¹L¹T⁻²A⁻²]