please provide a solution to the problem below. At 50 MHz, a lossy dielectric material is characterized by e 5 3.6eo, m 5 2.1mo, and s 5 0.08 S/m. If Es 5 6e2gx az V/m, compute (a) g, (b) l, (c) u, (d) h, (e) Hs.
please provide a solution to the problem below. At 50 MHz, a lossy dielectric material is...
A5-MHz wave propagates in a lossy medium characterized with g = 32 S/m, ε = 36.4=1. a) Compute the loss tangent of the medium and determine whether this medium is a low-loss dielectric, a good conductor, or neither. b) Compute the wavelength of the wave in the medium. c) After traveling a distance equal to 3 penetration depths into the medium, the wave's E-field amplitude has decreased to 0.25 V/m. What is the initial E-field amplitude just after the wave...
A parallel plate capacitor is composed of two lossy media with relative dielectric constant &ri 12 and 82 3.5, and thickness di 1.5mm and d 3.5mm. Lossy nature manifests itself through a steady-state leakage current with the normal component Jn flowing across the interface between the two dielectric media which have electrical conductivity o1 2x 10-3 and a2 = 5 x 104 S/m, respectively. The two media have dielectric strength EMaxt = 60 MV/m and EMax2 25 MV/m respectively, where...
Problem 3. 6 points total A plane EM wave propagates through a dielectric material characterized by Er = 100, Hr=1 and o = 1 S/m at 1 GHz. Let H = 10 e-Yzą mA/m and find: a) a b) B c) v d) a e) P (1 points) (1 points) (1 points) (1 points) (2 points)
4. (20 points) A wave is propagating in a lossy dielectric with ly = 1.6, Er = 4.3, and o = 0.019 S/m at a frequency f= 2.7 GHz. The phasor representation of E field is given by Exs = 610e j30º e-(a+jB)z V/m (a) Find a, b, a,v,n. (b) Find the phasor representation for H field, i.e., Hys. (c) Find the equation of E(z ,t). (d) Find the value of E(z, t) at z= 1.2m, t = 10 ns....
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each dielectric, compare the values of (a) β, (b) λ, and (c) up of the two waves. An electromagnetic plane wave propagating in a nonmagnetic dielectric has the instantaneous electric and magnetic field intensities given as 8-17 (z.t)- a,967.le" cos(1.5x10°t-Bz) and 'W(z, t) = ay 10e-az cos(1.5x10°t-Bz-0.7194) Determine (a)...
2. [50 pts] Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z <0) onto a slab of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37°; b) Ttm = -0.588 and TTM =...
[50 pts) Given: A 100-MHZ TM polarized wave with an amplitude of 1 V/m is obliquely incident from air (z < 0) onto a slap of lossless, nonmagnetic material with er = 25. The angle of incidence is 40°. Find: a) Determine the angle of transmission; b) determine the reflection and transmission coefficients and c) determine expressions for the incident, reflected, and transmitted fields. Solution: Answers: a) The angle of transmission is 7.37º; b) Itm = -0.588 and Ttm =...
Please Provide the complete step by step solution on how to solve the problem Find , if w = f(y, x, z,t), and x = x(u, v), y = y(u, v), z = z(u, v), and t =t(u, v).
Please help step by step with problem 20. Thanks. The Second Shifting Theorem Replacing g() by g(1 – t) in Theorem 8.4.1 yields the next theorem. Theorem 8.4.2 (Second Shifting Theorem Ift > 0 and L(8) exists for s > So then L (ult – t)g(1 – t)) exists for s > 50 and Luſt - t)g(t – t)) = e-"L()). or, equivalently, ifgt) G(s), then uſt - t):(t – t) e "G(s). (8.4.12) REMARK: Recall that the First Shifting...
please provide a detailed solution to this problem. . The modified electromagnetic field in a certain polarizable and magnetizable medium are described by: D= € E+P H= =B-M lo 5.1. Derive Maxwell's equations in this medium, 5.2. Provide mathematical descriptions and physical interpretations of P and M.