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The complex permittivity is given by 2-j. Find the loss tangent.
a Explanation: The loss tangent for a given complex permittivity of ε = ε’ – jε’’ is given by tan δ = ε’’/ ε’. Thus the loss tangent is 1/2.
a
See lessExplanation: The loss tangent for a given complex permittivity of ε = ε’ – jε’’ is given by tan δ = ε’’/ ε’. Thus the loss tangent is 1/2.
Find the loss angle in degrees when the loss tangent is 1.
c Explanation: The loss tangent is tan δ, where δ is the loss angle. Given that loss tangenttan δ = 1. Thus we get δ = tan-1(1) = 450.
c
See lessExplanation: The loss tangent is tan δ, where δ is the loss angle. Given that loss tangenttan δ = 1. Thus we get δ = tan-1(1) = 450.
The expression for the loss tangent is given by
a Explanation: The conduction current density is Jc = σ E and the displacement current density is Jd = jωεE. Its magnitude will be ωεE. Thus the loss tangent tan δ = Jc /Jd = σ/ωε is the required expression.
a
See lessExplanation: The conduction current density is Jc = σ E and the displacement current
density is Jd = jωεE. Its magnitude will be ωεE. Thus the loss tangent tan δ = Jc /Jd =
σ/ωε is the required expression.
The loss tangent of a wave propagation with an intrinsic angle of 20 degree is
b Explanation: The angle of the loss tangent δ is twice the intrinsic angle θn. Thus tan δ = tan 2θn = tan 2(20) = tan 40.
b
See lessExplanation: The angle of the loss tangent δ is twice the intrinsic angle θn. Thus tan δ = tan 2θn = tan 2(20) = tan 40.
The loss tangent is also referred to as
c Explanation: The loss tangent is the measure of the loss of power due to propagation in a dielectric, when compared to that in a conductor. Hence it is also referred to as dissipation factor.
c
See lessExplanation: The loss tangent is the measure of the loss of power due to propagation in a dielectric, when compared to that in a conductor. Hence it is also referred to as
dissipation factor.
Find the loss tangent of a material with conduction current density of 5 units and displacement current density of 10 units.
b Explanation: The loss tangent is the ratio of Jc by Jd. On substituting for Jc = 5 and Jd =10, the loss tangent, tan δ = 5/10 = 0.5. It is to be noted that it is tangent angle, so that the maxima and minima lies between 1 and -1 respectively.
b
See lessExplanation: The loss tangent is the ratio of Jc by Jd. On substituting for Jc = 5 and Jd =10, the loss tangent, tan δ = 5/10 = 0.5. It is to be noted that it is tangent angle, so that the maxima and minima lies between 1 and -1 respectively.
At high frequencies, which parameter is significant?
b Explanation: The conduction current occurs in metals and is independent of the frequency. The attenuation and phase constant highly depend on the varying frequency.The displacement current occurs due to dielectrics and is significant only at very high frequencies.
b
See lessExplanation: The conduction current occurs in metals and is independent of the
frequency. The attenuation and phase constant highly depend on the varying frequency.The displacement current occurs due to dielectrics and is significant only at very high frequencies.
Calculate the conduction current density when the resistivity of a material with an electric field of 5 units is 4.5 units.
c Explanation: The conduction current density is the product of the conductivity and the electric field. The resistivity is the reciprocal of the conductivity. Thus the required formula is Jc = σ E = E/ρ = 5/4.5 units.
c
See lessExplanation: The conduction current density is the product of the conductivity and the electric field. The resistivity is the reciprocal of the conductivity. Thus the required
formula is Jc = σ E = E/ρ = 5/4.5 units.
The loss tangent refers to the
a Explanation: The loss tangent is the tangent angle formed by the plot of conduction current density vs displacement current density. It is the ratio of Jc by Jd. It representsthe loss of power due to propagation in a dielectric, when compared to that in a conductor.
a
See lessExplanation: The loss tangent is the tangent angle formed by the plot of conduction
current density vs displacement current density. It is the ratio of Jc by Jd. It representsthe loss of power due to propagation in a dielectric, when compared to that in a conductor.
Find the resistivity of a material having resistance 20kohm, area 2 units and length of 12m.
b Explanation: The resistance of a material is given by R = ρL/A. To get ρ, put R = 20 x 103, A = 2 and L = 12. We get ρ = 3333.3 units.
b
Explanation: The resistance of a material is given by R = ρL/A. To get ρ, put R = 20 x
103, A = 2 and L = 12. We get ρ = 3333.3 units.
See less