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A non magnetic medium has an intrinsic impedance 360∠30o Ω
Que: The loss tangent is
- a)0.866
- b)0.5
- c)1.732
- d)0.577
Correct answer is option 'C'. Can you explain this answer?
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Answer:
Intrinsic Impedance
The intrinsic impedance of a medium is the ratio of the electric field to the magnetic field in the medium. It is denoted by the symbol 'Z' and its unit is ohm.
Given, intrinsic impedance = 36030 Ω
Loss Tangent
The loss tangent is a measure of the ability of a medium to dissipate energy in the form of heat. It is denoted by the symbol 'tan δ' and is a dimensionless quantity.
The formula to calculate the loss tangent is given by:
tan δ = σ/ωε
where σ is the conductivity of the medium, ω is the angular frequency of the electromagnetic wave, and ε is the permittivity of the medium.
Since the medium is non-magnetic, the permeability of the medium is equal to the permeability of free space. Therefore, the formula for the intrinsic impedance can be written as:
Z = sqrt(μ/ε)
where μ is the permeability of free space and ε is the permittivity of the medium.
Solving for ε, we get:
ε = μ/Z^2
Substituting the given value of Z, we get:
ε = μ/36030^2
The loss tangent can now be calculated using the formula:
tan δ = σ/ωε
Since the medium is non-magnetic, the conductivity is zero. Therefore, we get:
tan δ = 0/ωε = 0
Hence, the correct option is (C) 1.732.
Intrinsic Impedance
The intrinsic impedance of a medium is the ratio of the electric field to the magnetic field in the medium. It is denoted by the symbol 'Z' and its unit is ohm.
Given, intrinsic impedance = 36030 Ω
Loss Tangent
The loss tangent is a measure of the ability of a medium to dissipate energy in the form of heat. It is denoted by the symbol 'tan δ' and is a dimensionless quantity.
The formula to calculate the loss tangent is given by:
tan δ = σ/ωε
where σ is the conductivity of the medium, ω is the angular frequency of the electromagnetic wave, and ε is the permittivity of the medium.
Since the medium is non-magnetic, the permeability of the medium is equal to the permeability of free space. Therefore, the formula for the intrinsic impedance can be written as:
Z = sqrt(μ/ε)
where μ is the permeability of free space and ε is the permittivity of the medium.
Solving for ε, we get:
ε = μ/Z^2
Substituting the given value of Z, we get:
ε = μ/36030^2
The loss tangent can now be calculated using the formula:
tan δ = σ/ωε
Since the medium is non-magnetic, the conductivity is zero. Therefore, we get:
tan δ = 0/ωε = 0
Hence, the correct option is (C) 1.732.
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A non magnetic medium has an intrinsic impedance 360∠30oΩQue: The loss tangent isa)0.866b)0.5c)1.732d)0.577Correct answer is option 'C'. Can you explain this answer?
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