The permeability and permittivity of air or free space is unity. State...
Answer: b
Explanation: The permeability and permittivity of free space or air is always unity. This implies that the air is always ready to store electric or magnetic charges subjected to it.
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The permeability and permittivity of air or free space is unity. State...
False
Permeability of Air or Free Space:
- The permeability of a material is a measure of its ability to allow the flow of magnetic fields through it.
- In free space or air, the permeability is denoted as μ0 (mu naught) and its value is approximately 4π x 10^-7 H/m (henries per meter).
- It is a fundamental constant of nature and is used as a reference value for the permeabilities of other materials.
Permittivity of Air or Free Space:
- The permittivity of a material is a measure of its ability to store electrical energy in an electric field.
- In free space or air, the permittivity is denoted as ε0 (epsilon naught) and its value is approximately 8.854 x 10^-12 F/m (farads per meter).
- Similar to permeability, ε0 is also a fundamental constant of nature and is used as a reference value for the permittivities of other materials.
Relation Between Permeability and Permittivity:
- The permeability and permittivity of a material are related to each other through the speed of light, c.
- The speed of light in a vacuum is approximately 3 x 10^8 m/s.
- The relation between permeability, permittivity, and the speed of light is given by the equation: c = 1 / sqrt(ε0μ0)
- From this equation, we can see that the product of permeability and permittivity is equal to the inverse square of the speed of light.
Conclusion:
- The permeability and permittivity of air or free space are not unity.
- The permeability of free space is μ0 ≈ 4π x 10^-7 H/m, and the permittivity is ε0 ≈ 8.854 x 10^-12 F/m.
- These values are used as reference values for the permeabilities and permittivities of other materials.